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<journal-id journal-id-type="publisher-id">Front. Phys.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Physics</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Phys.</abbrev-journal-title>
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<issn pub-type="epub">2296-424X</issn>
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<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-id pub-id-type="publisher-id">1732657</article-id>
<article-id pub-id-type="doi">10.3389/fphy.2025.1732657</article-id>
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<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Tapered dielectric quad-cavity MOSHEMT: a double-gate design for enhanced biosensing</article-title>
<alt-title alt-title-type="left-running-head">Dastidar et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fphy.2025.1732657">10.3389/fphy.2025.1732657</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Dastidar</surname>
<given-names>Ananya</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3300952"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Formal analysis" vocab-term-identifier="https://credit.niso.org/contributor-roles/formal-analysis/">Formal Analysis</role>
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<contrib contrib-type="author">
<name>
<surname>AbdelAll</surname>
<given-names>Naglaa</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Patra</surname>
<given-names>Tapas Kumar</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Mohapatra</surname>
<given-names>S. K.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1716098"/>
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<contrib contrib-type="author">
<name>
<surname>Pradhan</surname>
<given-names>K. P.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Khouqeer</surname>
<given-names>Ghada A.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<aff id="aff1">
<label>1</label>
<institution>School of Electronic Sciences, Odisha University of Technology and Research</institution>, <city>Bhubaneswar</city>, <country country="IN">India</country>
</aff>
<aff id="aff2">
<label>2</label>
<institution>Physics Department, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU)</institution>, <city>Riyadh</city>, <country country="SA">Saudi Arabia</country>
</aff>
<aff id="aff3">
<label>3</label>
<institution>School of Electronics Engineering, Kalinga Institute of Industrial Technology (KIIT) Deemed to be University</institution>, <city>Bhubaneswar</city>, <state>Odisha</state>, <country country="IN">India</country>
</aff>
<aff id="aff4">
<label>4</label>
<institution>Department of ECE, Indian Institute of Information Technology, Design and Manufacturing</institution>, <city>Kancheepuram, Chennai</city>, <country country="IN">India</country>
</aff>
<author-notes>
<corresp id="c001">
<label>&#x2a;</label>Correspondence: Ghada A. Khouqeer, <email xlink:href="mailto:gkhouqeer@imamu.edu.sa">gkhouqeer@imamu.edu.sa</email>
</corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-01-23">
<day>23</day>
<month>01</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1732657</elocation-id>
<history>
<date date-type="received">
<day>26</day>
<month>10</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>22</day>
<month>12</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>23</day>
<month>12</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2026 Dastidar, AbdelAll, Patra, Mohapatra, Pradhan and Khouqeer.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Dastidar, AbdelAll, Patra, Mohapatra, Pradhan and Khouqeer</copyright-holder>
<license>
<ali:license_ref start_date="2026-01-23">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</license-p>
</license>
</permissions>
<abstract>
<p>Rapid and accurate biomolecule detection is vital for next-generation diagnostic and sensing technologies. Reliable biosensing has driven innovations in transistor-based detection platforms. In this work, a quad-cavity double-gate tapered dielectric metal oxide-semiconductor high electron mobility transistor (MOSHEMT) is investigated using technology computer-assisted design (TCAD) simulations for biosensing applications. The proposed structure leverages dielectric modulation and taper cavity geometry to improve electrostatic control and charge sensitivity. Comparative analysis with conventional architectures, including single-gate single-cavity, single-gate dual-cavity, and double-gate non-tapered quad-cavity MOSHEMTs, demonstrates improvements of 54%, 25%, and 84% in drain current sensitivity, respectively. Parametric variation of the taper angle reveals that 60&#xb0; provides optimal sensitivity due to the enlarged effective surface area for biomolecule binding. Moreover, the device maintains reliable detection capability for biomolecule fill factors as low as 15%, indicating its suitability for low-concentration biosensing environments.</p>
</abstract>
<kwd-group>
<kwd>biosensing</kwd>
<kwd>dielectric modulation</kwd>
<kwd>metal oxide-semiconductor high electron mobility transistor</kwd>
<kwd>tapered dielectric technology</kwd>
<kwd>computer-assisted design</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declared that financial support was received for this work and/or its publication. This work was supported and funded by the Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University (IMSIU) (grant number IMSIU-DDRSP2603).</funding-statement>
</funding-group>
<counts>
<fig-count count="8"/>
<table-count count="7"/>
<equation-count count="17"/>
<ref-count count="42"/>
<page-count count="00"/>
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<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Interdisciplinary Physics</meta-value>
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</front>
<body>
<sec sec-type="intro" id="s1">
<label>1</label>
<title>Introduction</title>
<p>High-electron mobility transistor (HEMT) metal oxide-semiconductor high electron mobility transistor (MOSHEMT)-based sensors, utilizing wide bandgap semiconductors, have garnered considerable attention, as they offer a high sensitivity owing to their increased electron mobility, impressive frequency response, low noise levels, and minimal power consumption [<xref ref-type="bibr" rid="B1">1</xref>&#x2013;<xref ref-type="bibr" rid="B5">5</xref>]. In biosensing applications, AlGaN/GaN MOSHEMT biosensors play a pivotal role in detecting alterations in surface charge resulting from biomolecular binding or chemical interactions due to the two-dimensional electron gas (2DEG) formed at the AlGaN/GaN interface [<xref ref-type="bibr" rid="B6">6</xref>&#x2013;<xref ref-type="bibr" rid="B8">8</xref>]. MOSHEMT biosensors are characterized by their sensitivity, selectivity, and limits of detection, which are determined by variations in electrical parameters resulting from physical or chemical changes at the gate sensing area of the devices upon binding of biological molecules [<xref ref-type="bibr" rid="B9">9</xref>&#x2013;<xref ref-type="bibr" rid="B12">12</xref>]. Several research groups have elucidated these sensing metrics using analytical techniques and physics-based models to comprehend the operational mechanism of HEMT biosensors [<xref ref-type="bibr" rid="B13">13</xref>&#x2013;<xref ref-type="bibr" rid="B16">16</xref>]. These crucial electrical parameters, including drain current, threshold voltage, channel potential, channel conductance, surface potential, capacitance, transconductance, and conductance-to-current ratio, among others, aid in understanding deviations in device characterization from a neutral response [<xref ref-type="bibr" rid="B17">17</xref>&#x2013;<xref ref-type="bibr" rid="B19">19</xref>].</p>
<p>When compared to a single-gate MOSHEMT, double-gate structures have advantages in terms of performance, scalability, and reliability [<xref ref-type="bibr" rid="B20">20</xref>, <xref ref-type="bibr" rid="B21">21</xref>]. Double-gate structures provide better control of the gate over the channel than single-gate structures. This improves electrostatic integrity and reduces leakage current, thereby resulting in higher ON/OFF current ratios as well as enhancing device performance [<xref ref-type="bibr" rid="B22">22</xref>]. They also offer effective modulation of the channel due to the presence of two gates; thus, it can exhibit improved subthreshold swing for lower power consumption and enhanced efficiency. They mitigate short-channel effects (SCE) such as drain-induced barrier lowering (DIBL) and subthreshold slope (SS) degradation [<xref ref-type="bibr" rid="B23">23</xref>, <xref ref-type="bibr" rid="B24">24</xref>]. Two gates confine the electric field more effectively, limiting its impact to SCEs and allowing for better scalability on smaller devices. However, comparing them with single-gate counterparts shows that double-gated structures generally have lower values of this capacitance [<xref ref-type="bibr" rid="B25">25</xref>, <xref ref-type="bibr" rid="B26">26</xref>]. With the inception of double-gate devices, the trend toward analyzing multi-gate devices with alternative materials for the gate, insulator, and substrate is increasing. A DG InP/InGaAs structure was presented in [<xref ref-type="bibr" rid="B27">27</xref>], where TCAD simulation was performed for gate and barrier dimension variations. The proposed device exhibited improved device parameters except for SS and Ion/Ioff. A double delta-doped DG-MOSHEMT with a multi-cap layer with a thin InAlAs barrier with HfO<sub>2</sub> as a dielectric material finds use in the high-frequency domain. Maximum transconductance and higher cut-off frequency were reported when compared with an SG-HEMT structure [<xref ref-type="bibr" rid="B28">28</xref>]. Simulation of an underlap double-gate (U-DG) AlGaN/GaN MOSHEMT with HfO<sub>2</sub> as the gate oxide improved analog performance over a Schottky HEMT, thereby making it suitable for high-power enhanced frequency devices [<xref ref-type="bibr" rid="B29">29</xref>]. A symmetric U-DG GaN/AlGaN MOS-HEMT with a doped AlGaN barrier and spacer of varying width showed that the reduction in the width of the doped region leads to improved gate control as well as high ON current when examined for its effect on the analog figure of merits (FoMs) [<xref ref-type="bibr" rid="B18">18</xref>]. The device performance of a DG n-AlGaN/GaN MOSHEMT, where the doping concentration of the AlGaN was moderated, compared with a conventional HEMT as well as a metal-oxide-semiconductor field-effect transistor (MOSFET) device [<xref ref-type="bibr" rid="B30">30</xref>]. A DG underlap AlInN/GaN MOSHEMT for analog and radio frequency (RF) performance measurements using a TCAD tool shows that, through gate length and underlap length scaling, there is an increase in the device parameter values like drain current, transconductance, and frequency, but it caused a drop in the on-resistance of the simulated device. Results indicate the device&#x2019;s potential for use in high-power, high-frequency applications [<xref ref-type="bibr" rid="B22">22</xref>]. An increase in effective barrier thickness exhibited an increase in drain current and SCE, like DIBL and SS. A reduction in delay and a negative shift in threshold voltage have also been observed. A decrease in barrier thickness was associated with an increase in gate capacitance, output resistance, transconductance, and improved cut-off and maximum oscillation frequency [<xref ref-type="bibr" rid="B31">31</xref>]. Currently, the trend is moving toward biomedical applicability of double-gate structures [<xref ref-type="bibr" rid="B32">32</xref>&#x2013;<xref ref-type="bibr" rid="B34">34</xref>]. Biosensors have been implemented by using a cavity near the gate or by coating the gate with bio-analyte to detect the presence of specific biomolecules. A cavity near the gate impacts the oxide capacitance of the device, and this, in turn, impacts the different device characteristics like the drain current, transconductance, and threshold voltage of the device. The novelty of this work is the proposal of a quad-cavity double-gate tapered dielectric MOSHEMT proposed for biosensing applications. The tapered dielectric offers more binding surface for the biomolecules in the cavity. The proposed device is compared with its counterpart, conventional MOSHEMT biosensors. A tapered dielectric component offers increased area for biomolecule binding than its non-tapered counterpart. The increased number of cavity under the gate (CUG; quad CUG) structures allows more biomolecule binding sites under the gate, hence increased parameter variation probability. This article is subdivided into the following sections: <xref ref-type="sec" rid="s2">Section 2</xref> presents the device structure; <xref ref-type="sec" rid="s3">Section 3</xref> presents the sensitivity analysis of a quad cavity tapered dielectric of a double-gate MOSHEMT; <xref ref-type="sec" rid="s4">Section 4</xref> presents results and discussion; and conclusions are provided in <xref ref-type="sec" rid="s5">Section 5</xref>.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Device structure</title>
<p>A double-gate MOSHEMT features two gate electrodes on a thin semiconductor layer, forming a dual-gate structure. The thin semiconductor layer is typically composed of a high-mobility material, as seen in <xref ref-type="fig" rid="F1">Figure 1a</xref>. The gates are separated by a nanometer-scale thickness, allowing for precise control of the channel&#x2019;s charge density. These devices operate based on charge modulation in the channel region between the two gates by applying different voltages to the two gates, which enables enhanced gate control over the device, leading to improved performance compared to traditional single-gate transistors. The experiment used a double-gate MOSHEMT (DG-MH) with a <inline-formula id="inf1">
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<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>
<bold>(a)</bold> Cross section of the double-gate MOSHEMT. <bold>(b)</bold> Simulation model calibration.</p>
</caption>
<graphic xlink:href="fphy-13-1732657-g001.tif">
<alt-text content-type="machine-generated">Diagram (a) shows a cross-section of a transistor with labeled layers: source, drain, top gate, top oxide, top barrier (AlGaN), channel (GaN), bottom barrier (AlGaN), bottom oxide, and bottom gate. Graph (b) depicts a plot of drain current (A/mm) versus drain voltage (V), showing TCAD simulation results compared to Mondal et al., 2019. The curve increases with voltage, aligning with empirical data points.</alt-text>
</graphic>
</fig>
<p>Using a Cogenda Visual TCAD 2D simulator, we analyzed the performance of a double-gate tapered dielectric AlGaN/GaN MOSHEMT with a quad cavity under the gate toward potential biosensing applications.</p>
<p>Keeping the device dimensions similar, a cavity under the gate (CUG) was incorporated in the DG-MH to explore the device&#x2019;s applicability toward biosensing applications. <xref ref-type="fig" rid="F2">Figure 2</xref> presents the cross-section of the proposed AlGaN/GaN double-gate double-CUG-MOSHEMT (DG-DCUG-MH) and double-gate quad cavity under the gate tapered dielectric MOSHEMT (DG-QC-TD-MH) (DG-QCUG-TD-MH). The device has a double gate of aluminum with length <inline-formula id="inf5">
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<mml:mi>r</mml:mi>
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</inline-formula>). The length of each CUG in DG-DCUG-MH is 50 nm. The DG-QCUG-TD-MH is composed of a tapered (<inline-formula id="inf11">
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</inline-formula> [<xref ref-type="bibr" rid="B18">18</xref>] over the GaN channel with thickness <inline-formula id="inf19">
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</inline-formula>. The source and drain form ohmic-type contacts.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Cross section of the <bold>(a)</bold> DG-DuCUG-MH and <bold>(b)</bold> DG-QCUG-TD-MH.</p>
</caption>
<graphic xlink:href="fphy-13-1732657-g002.tif">
<alt-text content-type="machine-generated">Two cross-sectional diagrams of a transistor structure labeled (a) and (b). Both show layers from top to bottom: Top Gate, Top Oxide, Barrier (AlGaN), Channel (GaN), Barrier (AlGaN), Bottom Oxide, and Bottom Gate. Diagram (a) features one CUG region under the top oxide, while diagram (b) has two tapered CUG regions. Dimensions Lg, Lox, and hox are indicated for top layers.</alt-text>
</graphic>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Device dimensions.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Layer</th>
<th align="center">Dimension</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Top oxide, bottom oxide, <inline-formula id="inf20">
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</inline-formula>
</td>
<td align="center">10 nm</td>
</tr>
<tr>
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</tr>
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</tr>
<tr>
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</tr>
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</tr>
<tr>
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</tr>
<tr>
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</tr>
</tbody>
</table>
</table-wrap>
<p>Biomolecules have different shapes and are associated with different dielectric constants. The DG-QCUG-TD-MH can act as a biosensor if we modulate the dielectric constants of the CUG regions to emulate the presence of neutral biomolecules. Any surface modification near the gate affects the 2DEG of the MOSHEMT and can be used to study the variation in parameters due to the presence of biomolecules that can be further used to perform the sensitivity analysis. Possible fabrication steps of a tapered cavity were presented in our previous work [<xref ref-type="bibr" rid="B35">35</xref>, <xref ref-type="bibr" rid="B36">36</xref>]. Because 20&#xb0; tapered cavities have been fabricated [<xref ref-type="bibr" rid="B37">37</xref>] with precise photolithography and meticulous etching, a 60&#xb0; tapered CUG may also be feasible. However, fabrication of these nanocavities comes with different fabrication challenges. Process variability can significantly impact achieving consistent nanometer-scale dimensions and the desired tapered geometry, thereby affecting the performance of the biosensor. Both the fabrication process and the subsequent bioassay functionalization can result in surface roughness, which can affect the performance. High-resolution techniques like electron beam lithography and focused ion beam milling are expensive and slow, limiting their use for mass production. Integrating the tapered nanostructures into a complete, functional biosensor system requires complex multi-step processes.</p>
</sec>
<sec id="s3">
<label>3</label>
<title>Sensitivity analysis of a DG-QCUG-TD-MH</title>
<p>The top gate section is shown in <xref ref-type="fig" rid="F3">Figure 3</xref>. The capacitance in each region is calculated as follows. The middle layers constitute the top and bottom barrier layers and the channel.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Enlarged under the gate region.</p>
</caption>
<graphic xlink:href="fphy-13-1732657-g003.tif">
<alt-text content-type="machine-generated">Diagram of a device structure with layers labeled from top to bottom as &#x22;TOP GATE,&#x22; &#x22;TOP OXIDE,&#x22; &#x22;MIDDLE LAYERS,&#x22; &#x22;BOTTOM OXIDE,&#x22; and &#x22;BOTTOM GATE.&#x22; Sections are numbered I to XII, with lines dividing regions marked L1 to Lg.</alt-text>
</graphic>
</fig>
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</p>
<p>Assuming that the CUGs are fully filled, the capacitance of each region can be calculated as follows:<disp-formula id="e1a">
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<label>(1c)</label>
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</mml:mfenced>
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<label>(1d)</label>
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<mml:mi>C</mml:mi>
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<mml:mi>A</mml:mi>
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</mml:mrow>
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</mml:mrow>
<mml:mo>,</mml:mo>
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</mml:math>
<label>(1e)</label>
</disp-formula>
<disp-formula id="e1f">
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<mml:mi>C</mml:mi>
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<mml:mi>C</mml:mi>
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<mml:mrow>
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</mml:msub>
<mml:mrow>
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<mml:mrow>
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<mml:mrow>
<mml:mi>A</mml:mi>
</mml:mrow>
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<mml:msub>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>x</mml:mi>
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<mml:mi>V</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>.</mml:mo>
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</mml:math>
<label>(1f)</label>
</disp-formula>
</p>
<p>Here, <inline-formula id="inf28">
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<mml:msub>
<mml:mi>&#x3f5;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the permittivity of free space, <inline-formula id="inf29">
<mml:math id="m41">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3ba;</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the relative permittivity of the oxide, A is the gate area, <inline-formula id="inf30">
<mml:math id="m42">
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>g</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is gate length, and <inline-formula id="inf31">
<mml:math id="m43">
<mml:mrow>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the channel width. <inline-formula id="inf32">
<mml:math id="m44">
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are sections of the gate length<inline-formula id="inf33">
<mml:math id="m45">
<mml:mrow>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the height of the CUG, and <inline-formula id="inf34">
<mml:math id="m46">
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>I</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and<inline-formula id="inf35">
<mml:math id="m47">
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>V</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the thicknesses of the oxide in region III and region VI.</p>
<p>The total capacitance associated with Regions I&#x2013;V (<inline-formula id="inf36">
<mml:math id="m48">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>I</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>V</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) is calculated as<disp-formula id="e2">
<mml:math id="m49">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>I</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>V</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>I</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>V</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>b</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mi>V</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>Using <xref ref-type="disp-formula" rid="e2">Equation 2</xref>, the total oxide capacitance (<inline-formula id="inf37">
<mml:math id="m50">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>T</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) is expressed as<disp-formula id="e3">
<mml:math id="m51">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>T</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>T</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>b</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="&#x7c;">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>I</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>V</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>The MOSHEMT capacitance for the top region is assumed to be equal to the capacitance of the bottom region which is expressed in <xref ref-type="disp-formula" rid="e3">Equation 3</xref> as<disp-formula id="e4">
<mml:math id="m52">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>T</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>T</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>b</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>T</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>T</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mi>b</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>where <italic>A</italic> stands for the area of the individual region, and <inline-formula id="inf38">
<mml:math id="m53">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>b</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3f5;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mi>&#x3f5;</mml:mi>
</mml:mrow>
<mml:mi>b</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>b</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula> are the capacitances of the barrier layers. Here, <inline-formula id="inf39">
<mml:math id="m54">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3f5;</mml:mi>
<mml:mi>b</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the relative permittivity of the barrier layers, and <inline-formula id="inf40">
<mml:math id="m55">
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>b</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> specifies the thickness of the barrier layers, in <xref ref-type="disp-formula" rid="e3">Equations 3</xref>, <xref ref-type="disp-formula" rid="e4">4</xref>, the subscript on the right-hand side may be replaced by to depict the capacitance of the bottom layer.</p>
<p>The capacitance terms <inline-formula id="inf41">
<mml:math id="m56">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>T</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf42">
<mml:math id="m57">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>T</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>b</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are connected in series, so the total MOSHEMT capacitance <inline-formula id="inf43">
<mml:math id="m58">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>T</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>T</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> can be expressed as<disp-formula id="e5">
<mml:math id="m59">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>T</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>T</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>T</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>T</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>b</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>T</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>T</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>b</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
</p>
<p>The MOSHEMT capacitance derived in <xref ref-type="disp-formula" rid="e5">Equation 5</xref> are used to perform the sensitivity analysis, as it impacts the drain current, which in turn affects other parameters like transconductance and output conductance. The presence of a neutral biomolecule in the CUG will change the surface potential, which impacts the sheet carrier density and therefore the drain current. The sensitivity analysis uses <xref ref-type="disp-formula" rid="e6">Equation 6</xref> to determine the variations in the different sensing parameters <inline-formula id="inf44">
<mml:math id="m60">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, such as the on current <inline-formula id="inf45">
<mml:math id="m61">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, off current <inline-formula id="inf46">
<mml:math id="m62">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, threshold voltage <inline-formula id="inf47">
<mml:math id="m63">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, transconductance (<inline-formula id="inf48">
<mml:math id="m64">
<mml:mrow>
<mml:mfenced open="" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi>g</mml:mi>
<mml:mi>m</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, drain current <inline-formula id="inf49">
<mml:math id="m65">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, and output conductance (<inline-formula id="inf50">
<mml:math id="m66">
<mml:mrow>
<mml:mfenced open="" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi>g</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> both when the CUG has no molecule and when biomolecules enter the CUG [<xref ref-type="bibr" rid="B17">17</xref>].<disp-formula id="e6">
<mml:math id="m67">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>P</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="|" close="|" separators="&#x7c;">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi mathvariant="normal">P</mml:mi>
</mml:mrow>
<mml:msup>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>M</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>where <inline-formula id="inf51">
<mml:math id="m68">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="|" close="|" separators="&#x7c;">
<mml:mrow>
<mml:msup>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>M</mml:mi>
</mml:mrow>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>M</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf52">
<mml:math id="m69">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>P</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents sensitivity, <inline-formula id="inf53">
<mml:math id="m70">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> represents the difference in the sensing parameters due to the biomolecule hybridization in the cavity, <inline-formula id="inf54">
<mml:math id="m71">
<mml:mrow>
<mml:msup>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>M</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> is the sensing parameter of the device with no molecule <inline-formula id="inf55">
<mml:math id="m72">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>M</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> in the CUG, and <inline-formula id="inf56">
<mml:math id="m73">
<mml:mrow>
<mml:msup>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>M</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> is the sensing parameter of the device with a biomolecule <inline-formula id="inf57">
<mml:math id="m74">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>M</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> in the cavity (neutral). The sensitivity analysis is based on the variation of the parameters of the device due to the presence of biomolecules rather than the value of the variation.</p>
</sec>
<sec sec-type="results|discussion" id="s4">
<label>4</label>
<title>Results and discussion</title>
<p>This section is divided into three sub-sections. The first sub-section discusses the sensing metrics for a DG-DCUG-MH, while the next sub-section delves into different studies for the DG-QCUG-TD-MH. The last part of this section makes a comparison between different MOSHEMT structures with tapered and non-tapered dielectric with single to quad CUG structures.</p>
<sec id="s4-1">
<label>4.1</label>
<title>DG-DCUG-MH</title>
<p>This section presents the sensitivity analysis of the structure presented in <xref ref-type="fig" rid="F2">Figure 2a</xref>. Here, we have considered that both the CUGs are 100% full.</p>
<p>
<xref ref-type="fig" rid="F4">Figure 4a</xref> shows the <inline-formula id="inf58">
<mml:math id="m75">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf59">
<mml:math id="m76">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and the drain characteristics of the DG-DCUG AlGaN/GaN MOSHEMT, where, when the CUG is not filled with any biomolecule, the <inline-formula id="inf60">
<mml:math id="m77">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula> is found to be <inline-formula id="inf61">
<mml:math id="m78">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mo>&#x223c;</mml:mo>
<mml:mn>10</mml:mn>
</mml:mrow>
<mml:mn>10</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>, which improves to <inline-formula id="inf62">
<mml:math id="m79">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mo>&#x223c;</mml:mo>
<mml:mn>10</mml:mn>
</mml:mrow>
<mml:mn>11</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> when the CUGs are filled with biomolecules. The <inline-formula id="inf63">
<mml:math id="m80">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> reduced as <inline-formula id="inf64">
<mml:math id="m81">
<mml:mrow>
<mml:mi>&#x3ba;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> increases, thereby improving leakage performance. As <inline-formula id="inf65">
<mml:math id="m82">
<mml:mrow>
<mml:mi>&#x3ba;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> increases, it enhances gate-to-channel capacitive coupling, allowing the gate to more effectively suppress channel conduction at low gate bias. Because the OFF-state current is dominated by leakage mechanisms, the enhanced electrostatic screening and gate control associated with higher <inline-formula id="inf66">
<mml:math id="m83">
<mml:mrow>
<mml:mi>&#x3ba;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> values lead to a systematic reduction in <inline-formula id="inf67">
<mml:math id="m84">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mtext>OFF</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. <xref ref-type="fig" rid="F4">Figure 4b</xref> shows improvement in drain current with dielectric constant <inline-formula id="inf68">
<mml:math id="m85">
<mml:mrow>
<mml:mi>&#x3ba;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, which is attributed to enhanced gate-to-channel capacitive coupling, which increases the 2DEG density and channel conductivity for a given gate bias. The numerical results are presented in <xref ref-type="table" rid="T6">Table 6</xref>.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>
<bold>(a)</bold> I<sub>d</sub>&#x2013;V<sub>g</sub> and <bold>(b)</bold> I<sub>d</sub>&#x2013;V<sub>d</sub> characteristics of the DG-DCUG-MH.</p>
</caption>
<graphic xlink:href="fphy-13-1732657-g004.tif">
<alt-text content-type="machine-generated">Graph (a) shows the log of drain current versus gate voltage for different dielectric constants (&#x3BA; &#x3d; 1 to 4.5). Graph (b) depicts drain current versus drain voltage with a focus on the saturation region. An inset highlights differences in current levels for &#x3BA; values from 1 to 4.5.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s4-2">
<label>4.2</label>
<title>DG-QCUG-TD-MH</title>
<sec id="s4-2-1">
<label>4.2.1</label>
<title>Impact of &#x3ba; on sensing metrics</title>
<p>This section presents the sensitivity analysis of the structure presented in <xref ref-type="fig" rid="F2">Figure 2b</xref>. Here, we have considered the effect of neutral biomolecules, angle of taper, and fill percentage on the sensing metrics.</p>
<p>The dielectric constant of the CUG sections under the gate is modulated between (1-4.5) to study its impact on various device parameters.</p>
<p>
<xref ref-type="fig" rid="F5">Figure 5a</xref> shows the <inline-formula id="inf69">
<mml:math id="m86">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf70">
<mml:math id="m87">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of the tapered dielectric double-gate AlGaN/GaN MOSHEMT. When the CUG is not filled with any biomolecule, the <inline-formula id="inf71">
<mml:math id="m88">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula> is found to be <inline-formula id="inf72">
<mml:math id="m89">
<mml:mrow>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mn>13</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> and improves to <inline-formula id="inf73">
<mml:math id="m90">
<mml:mrow>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mn>17</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> when the CUGs are filled with biomolecules. The <inline-formula id="inf74">
<mml:math id="m91">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is reduced as <inline-formula id="inf75">
<mml:math id="m92">
<mml:mrow>
<mml:mi>&#x3ba;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> increases, thereby improving leakage performance. As in DG-DCUG-MH, here also the <inline-formula id="inf76">
<mml:math id="m93">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is reduced as <inline-formula id="inf77">
<mml:math id="m94">
<mml:mrow>
<mml:mi>&#x3ba;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> increases, thereby improving leakage performance in both structures. This structure offers an improved sensitivity compared to the previous structure. <xref ref-type="fig" rid="F5">Figure 5b</xref> shows that the threshold voltage sensitivity of the DG-QCUG-TD-MH improves with &#x3ba;. The observed improvement in threshold voltage with increasing dielectric constant <inline-formula id="inf78">
<mml:math id="m95">
<mml:mrow>
<mml:mi>&#x3ba;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> arises from enhanced gate-to-channel capacitive coupling, which enables earlier 2DEG formation and stronger channel band bending at reduced gate bias. The threshold voltage in this analysis was obtained by the constant-current method. The results are shown in <xref ref-type="table" rid="T6">Table 6</xref>.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>
<bold>(a)</bold> I<sub>d</sub>&#x2013;V<sub>g</sub> characteristics and <bold>(b)</bold> sensing metrics V<sub>t</sub> of the DG-QCUG-TD-MH k values.</p>
</caption>
<graphic xlink:href="fphy-13-1732657-g005.tif">
<alt-text content-type="machine-generated">Graph (a) displays the off-current versus gate voltage for dielectric constants (&#x3BA;) of 1, 1.5, 2.5, 3.5, and 4.5, showing increasing off-current with higher &#x3BA;. Graph (b) shows threshold voltage sensitivity versus dielectric constant with a trend of increasing sensitivity as &#x3BA; rises. An inset bar graph illustrates variations in threshold voltage against dielectric constant, with sensitivity labeled as SV&#x209C;.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s4-2-2">
<label>4.2.2</label>
<title>Impact of different fill percentages on sensing metrics</title>
<p>To study the impact of incomplete biomolecule immobilization in the CUG, different fill percentages were considered for the device with a <inline-formula id="inf79">
<mml:math id="m96">
<mml:mrow>
<mml:mi>&#x3b8;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>60</mml:mn>
<mml:mo>&#xb0;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> angle of taper and oxide height <inline-formula id="inf80">
<mml:math id="m97">
<mml:mrow>
<mml:mi>y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> to <inline-formula id="inf81">
<mml:math id="m98">
<mml:mrow>
<mml:mi>y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf82">
<mml:math id="m99">
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> to <inline-formula id="inf83">
<mml:math id="m100">
<mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>G</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. Each CUG, as well as the oxide region, is considered to have two parts: a tapered part (<inline-formula id="inf84">
<mml:math id="m101">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>g</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf85">
<mml:math id="m102">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) and a non-tapered part (<inline-formula id="inf86">
<mml:math id="m103">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>g</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf87">
<mml:math id="m104">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), where <inline-formula id="inf88">
<mml:math id="m105">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> denotes the CUG and oxide number <inline-formula id="inf89">
<mml:math id="m106">
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> to <inline-formula id="inf90">
<mml:math id="m107">
<mml:mrow>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, as shown in <xref ref-type="fig" rid="F6">Figure 6</xref>. The larger taper angle (60&#xb0;) results in an enhanced electric field near the CUG and at the cavity&#x2013;channel interfaces, which strengthens the gate-to-channel capacitive coupling and improves modulation of the two-dimensional electron gas in response to dielectric or charge perturbations introduced by biomolecules in the CUG. As a result, the sensitivity enhancement arises from nonlinear electrostatic effects rather than purely geometric scaling. Moreover, the combination of a large-angle tapered cavity with a quad-cavity, double-gate configuration introduces multiple high-field interaction regions along the channel, leading to cumulative and symmetric channel potential modulation.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>DG-QCUG-TD-MH showing the four CUGs, each having two sections (tapered and non-tapered).</p>
</caption>
<graphic xlink:href="fphy-13-1732657-g006.tif">
<alt-text content-type="machine-generated">Cross-sectional diagram of a multi-layer transistor structure. From top to bottom: Top Gate, Top Oxide, AlGaN Barrier, GaN Channel, AlGaN Barrier, Bottom Oxide, and Bottom Gate. Source and Drain are on the sides. Labels indicate tapered and non-tapered critical underlaps (CUG) within the structure.</alt-text>
</graphic>
</fig>
<p>A 100% fill is obtained by considering that the neutral biomolecules have occupied the entire CUG space (<inline-formula id="inf91">
<mml:math id="m108">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>G</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>). An 85% fill is obtained by considering that only the non-tapered part of each CUG is filled with biomolecules. A 50% fill percent was analyzed by considering a different combination of CUGs to be fully filled, like only the top CUGs (<inline-formula id="inf92">
<mml:math id="m109">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>G</mml:mi>
</mml:mrow>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>G</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), only the bottom CUGs (<inline-formula id="inf93">
<mml:math id="m110">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>G</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>G</mml:mi>
</mml:mrow>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), or only the left CUGs (<inline-formula id="inf94">
<mml:math id="m111">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>G</mml:mi>
</mml:mrow>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>G</mml:mi>
</mml:mrow>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), and so on. A 15% fill is represented by filling only the tapered portion of each CUG <inline-formula id="inf95">
<mml:math id="m112">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>c</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>g</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>
<xref ref-type="fig" rid="F7">Figure 7a</xref> shows the change in drain current for different fill percentages. <xref ref-type="fig" rid="F7">Figure 7b</xref> is used to extract the <inline-formula id="inf96">
<mml:math id="m113">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula> for different fill percentages for a taper angle of 60&#xb0;. The values are shown in <xref ref-type="table" rid="T2">Tables 2</xref>,<xref ref-type="table" rid="T3">3</xref>.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>
<bold>(a)</bold> I<sub>d</sub>&#x2013;V<sub>d</sub> for different fill percentages (FPs) with &#x3ba; &#x3d; 2.5. <bold>(b)</bold> I<sub>d</sub>&#x2013;V<sub>g</sub> for different fill percentages with &#x3ba; &#x3d; 2.5.</p>
</caption>
<graphic xlink:href="fphy-13-1732657-g007.tif">
<alt-text content-type="machine-generated">Two graphs illustrate the relationship between drain current and voltage for different fill percentages and parameter kappa values. Graph (a) shows drain current versus drain voltage with lines for various fill percentages and kappa values, annotated with legends. Graph (b) presents drain current versus gate voltage, featuring similar fill percentages and kappa values, with a legend indicating different line styles and colors corresponding to each condition.</alt-text>
</graphic>
</fig>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Fill % results of DG-QCUG-TD-MH on I<sub>ON</sub>/I<sub>OFF</sub>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Fill percent (&#x3b8; &#x3d; 60&#xb0;)</th>
<th align="left">k</th>
<th align="left">
<inline-formula id="inf97">
<mml:math id="m114">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf98">
<mml:math id="m115">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf99">
<mml:math id="m116">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">100%</td>
<td align="left">1</td>
<td align="left">
<inline-formula id="inf100">
<mml:math id="m117">
<mml:mrow>
<mml:mn>7.25</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf101">
<mml:math id="m118">
<mml:mrow>
<mml:mn>2.31</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>14</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf102">
<mml:math id="m119">
<mml:mrow>
<mml:mn>3.14</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mn>10</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td rowspan="9" align="left">2.5</td>
<td align="left">
<inline-formula id="inf103">
<mml:math id="m120">
<mml:mrow>
<mml:mn>6.83</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf104">
<mml:math id="m121">
<mml:mrow>
<mml:mn>8.69</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>17</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf105">
<mml:math id="m122">
<mml:mrow>
<mml:mn>7.86</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mn>12</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">85%</td>
<td align="left">
<inline-formula id="inf106">
<mml:math id="m123">
<mml:mrow>
<mml:mn>6.91</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf107">
<mml:math id="m124">
<mml:mrow>
<mml:mn>9.03</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>17</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf108">
<mml:math id="m125">
<mml:mrow>
<mml:mn>7.65</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mn>12</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">50% (CUG 1,2)</td>
<td align="left">
<inline-formula id="inf109">
<mml:math id="m126">
<mml:mrow>
<mml:mn>7.04</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf110">
<mml:math id="m127">
<mml:mrow>
<mml:mn>9.00</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>17</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf111">
<mml:math id="m128">
<mml:mrow>
<mml:mn>7.82</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mn>12</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">50% (CUG 3,4)</td>
<td align="left">
<inline-formula id="inf112">
<mml:math id="m129">
<mml:mrow>
<mml:mn>7.05</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf113">
<mml:math id="m130">
<mml:mrow>
<mml:mn>9.11</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>17</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf114">
<mml:math id="m131">
<mml:mrow>
<mml:mn>7.74</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mn>12</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">50% (CUG 1,4)</td>
<td align="left">
<inline-formula id="inf115">
<mml:math id="m132">
<mml:mrow>
<mml:mn>6.71</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf116">
<mml:math id="m133">
<mml:mrow>
<mml:mn>8.68</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>17</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf117">
<mml:math id="m134">
<mml:mrow>
<mml:mn>7.73</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mn>12</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">50% (CUG 2,3)</td>
<td align="left">
<inline-formula id="inf118">
<mml:math id="m135">
<mml:mrow>
<mml:mn>6.99</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf119">
<mml:math id="m136">
<mml:mrow>
<mml:mn>9.55</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>17</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf120">
<mml:math id="m137">
<mml:mrow>
<mml:mn>7.72</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mn>12</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">50% (CUG 1,3)</td>
<td align="left">
<inline-formula id="inf121">
<mml:math id="m138">
<mml:mrow>
<mml:mn>7.56</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf122">
<mml:math id="m139">
<mml:mrow>
<mml:mn>6.37</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>17</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf123">
<mml:math id="m140">
<mml:mrow>
<mml:mn>1.19</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mn>13</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">50% (CUG 2,4)</td>
<td align="left">
<inline-formula id="inf124">
<mml:math id="m141">
<mml:mrow>
<mml:mn>7.56</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf125">
<mml:math id="m142">
<mml:mrow>
<mml:mn>5.71</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>17</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf126">
<mml:math id="m143">
<mml:mrow>
<mml:mn>1.32</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mn>13</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">15%</td>
<td align="left">
<inline-formula id="inf127">
<mml:math id="m144">
<mml:mrow>
<mml:mn>7.14</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf128">
<mml:math id="m145">
<mml:mrow>
<mml:mn>8.53</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>17</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf129">
<mml:math id="m146">
<mml:mrow>
<mml:mn>8.37</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mn>12</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Effect of fill % of DG-QCUG-TD-MH on &#x7c;&#x394;I<sub>ds</sub>&#x7c; and &#x7c;&#x394;g<sub>m</sub>&#x7c;.</p>
</caption>
<table>
<thead valign="top">
<tr>
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<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf169">
<mml:math id="m186">
<mml:mrow>
<mml:mn>0.29</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>X</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="center">
<inline-formula id="inf170">
<mml:math id="m187">
<mml:mrow>
<mml:mn>50</mml:mn>
<mml:mo>%</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>G</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf171">
<mml:math id="m188">
<mml:mrow>
<mml:mn>9.25</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf172">
<mml:math id="m189">
<mml:mrow>
<mml:mn>1.04</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>X</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf173">
<mml:math id="m190">
<mml:mrow>
<mml:mn>3.79</mml:mn>
<mml:mi>X</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf174">
<mml:math id="m191">
<mml:mrow>
<mml:mn>0.5</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>X</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="center">
<inline-formula id="inf175">
<mml:math id="m192">
<mml:mrow>
<mml:mn>50</mml:mn>
<mml:mo>%</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>G</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mn>2</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf176">
<mml:math id="m193">
<mml:mrow>
<mml:mn>9.25</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf177">
<mml:math id="m194">
<mml:mrow>
<mml:mn>1.04</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>X</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf178">
<mml:math id="m195">
<mml:mrow>
<mml:mn>3.78</mml:mn>
<mml:mi>X</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf179">
<mml:math id="m196">
<mml:mrow>
<mml:mn>0.49</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>X</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="center">
<inline-formula id="inf180">
<mml:math id="m197">
<mml:mrow>
<mml:mn>15</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf181">
<mml:math id="m198">
<mml:mrow>
<mml:mn>8.22</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">0.01 <inline-formula id="inf182">
<mml:math id="m199">
<mml:mrow>
<mml:mi>X</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf183">
<mml:math id="m200">
<mml:mrow>
<mml:mn>3.50</mml:mn>
<mml:mi>X</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">
<inline-formula id="inf184">
<mml:math id="m201">
<mml:mrow>
<mml:mn>0.21</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>X</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>
<xref ref-type="table" rid="T2">Table 2</xref> and <xref ref-type="table" rid="T3">Table 3</xref> show the <inline-formula id="inf185">
<mml:math id="m202">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mtext>ON</mml:mtext>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mtext>OFF</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf186">
<mml:math id="m203">
<mml:mrow>
<mml:mrow>
<mml:mfenced open="|" close="|" separators="&#x7c;">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf187">
<mml:math id="m204">
<mml:mrow>
<mml:mfenced open="|" close="|" separators="&#x7c;">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi>g</mml:mi>
<mml:mi>m</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> values for different fill percentages for a taper angle 60&#xb0;, respectively. When the drain-side CUG is filled slightly, better <inline-formula id="inf188">
<mml:math id="m205">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is obtained. The highest <inline-formula id="inf189">
<mml:math id="m206">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mtext>ON</mml:mtext>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mtext>OFF</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is obtained when the drain-side CUG is filled because the high-<inline-formula id="inf190">
<mml:math id="m207">
<mml:mrow>
<mml:mi>&#x3ba;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> cavity strongly screens drain-induced electric fields, significantly reducing OFF-state leakage while leaving ON-state source injection largely unaffected. The negligible change in the <inline-formula id="inf191">
<mml:math id="m208">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>D</mml:mi>
</mml:msub>
<mml:mo>&#x2010;</mml:mo>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> characteristics arises because the structural modification primarily suppresses drain-induced leakage mechanisms, while the ON-state current, which is dominated by source-side injection and velocity saturation, remains unchanged. The device <inline-formula id="inf192">
<mml:math id="m209">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is compared with existing literature, which reported a value of 1.23 mA/&#x3bc;m [<xref ref-type="bibr" rid="B27">27</xref>], <inline-formula id="inf193">
<mml:math id="m210">
<mml:mrow>
<mml:mn>1.1</mml:mn>
<mml:mi>m</mml:mi>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mo>/</mml:mo>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> for a <inline-formula id="inf194">
<mml:math id="m211">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>n</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> HfO<sub>2</sub> DG MOSHEMT [<xref ref-type="bibr" rid="B28">28</xref>]. The higher transconductance observed when the source-side cavity is filled originates from enhanced gate control over the source injection barrier and increased sensitivity of the 2DEG density to gate voltage variations, amplified by the electric field in the tapered geometry.</p>
<p>The <inline-formula id="inf195">
<mml:math id="m212">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf196">
<mml:math id="m213">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf197">
<mml:math id="m214">
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values can be affected by variations in the presence of the target biomolecules or analytes. A higher variation in the <inline-formula id="inf198">
<mml:math id="m215">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula> ratio suggests that even small concentrations of the target biomolecules can be detected with a significant change in the electrical signal.</p>
</sec>
<sec id="s4-2-3">
<label>4.2.3</label>
<title>Impact of different angles of taper on sensing metrics</title>
<p>The sites available for biomolecule hybridization are a critical parameter for sensitivity analysis. The area of one CUG section can be modulated by changing the angle of taper. <xref ref-type="table" rid="T4">Table 4</xref> presents the calculations for the sensing area and the angle of the taper by adjusting the CUG dimensions as shown.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Sensing area and angle of taper calculation.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">
<inline-formula id="inf199">
<mml:math id="m216">
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf200">
<mml:math id="m217">
<mml:mrow>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf201">
<mml:math id="m218">
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf202">
<mml:math id="m219">
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">Area of non-tapered section &#x2b; area of tapered section &#x3d; area of <inline-formula id="inf203">
<mml:math id="m220">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>G</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">Angle of taper of <inline-formula id="inf204">
<mml:math id="m221">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>G</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mi>&#x3b8;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">15</td>
<td align="left">4</td>
<td align="left">5</td>
<td rowspan="4" align="left">60</td>
<td align="left">20 &#x2b; 30 &#x3d; 50</td>
<td align="left">15&#xb0;</td>
</tr>
<tr>
<td align="left">12</td>
<td align="left">8</td>
<td align="left">8</td>
<td align="left">64 &#x2b; 48 &#x3d; 112</td>
<td align="left">30&#xb0;</td>
</tr>
<tr>
<td align="left">8</td>
<td align="left">8</td>
<td align="left">12</td>
<td align="left">96 &#x2b; 32 &#x3d; 128</td>
<td align="left">45&#xb0;</td>
</tr>
<tr>
<td align="left">5</td>
<td align="left">8</td>
<td align="left">15</td>
<td align="left">120 &#x2b; 20 &#x3d; 140</td>
<td align="left">60&#xb0;</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Sensitivity to threshold voltage variations impacts how well the transistor turns on and off. These metrics are crucial for achieving low limits of detection and accurate quantification. The angle of the taper is modified by modulating the length and height of the tapered sections. The slope dielectric layer could impact the device&#x2019;s electrical characteristics, as it modifies the hybridization section of the CUG. The angle of the taper can influence various device characteristics of the MOSHEMT, such as threshold voltage, transconductance, and leakage performance. These characteristics collectively determine the device&#x2019;s operational performance in different applications. <xref ref-type="fig" rid="F8">Figure 8</xref> presents the variation and thereby the sensitivity of the drain current, on-off current ratio, transconductance, and threshold voltage. The variation in threshold voltage improves as the angle of taper is increased to 60&#xb0;, suggesting that as tapering increases the sensing area, sensitivity is improved. The <inline-formula id="inf205">
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</inline-formula> reported in a double-gate MOSHEMT [<xref ref-type="bibr" rid="B27">27</xref>] is 290. Our results show improved results over the reported literature. <xref ref-type="table" rid="T5">Table 5</xref> presents the <inline-formula id="inf206">
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<mml:mrow>
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<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">I</mml:mi>
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<mml:mi mathvariant="bold-italic">O</mml:mi>
<mml:mi mathvariant="bold-italic">F</mml:mi>
<mml:mi mathvariant="bold-italic">F</mml:mi>
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</inline-formula> values for different taper angles, which are observed to decrease with increase in &#x3b8;. The decrease in <inline-formula id="inf207">
<mml:math id="m224">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
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</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>F</mml:mi>
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</inline-formula> with increasing taper angle &#x3b8; occurs because ON-state current enhancement saturates at larger &#x3b8;, while the OFF-state leakage increases due to stronger lateral electric-field crowding and enhanced drain-induced barrier lowering.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Sensing metrics for different taper angles &#x3ba; &#x3d; 2.5. <bold>(a)</bold> I<sub>d</sub>&#x2013;V<sub>d</sub>, <bold>(b)</bold> I<sub>ON</sub> and I<sub>OFF,</sub> <bold>(c)</bold> I<sub>d</sub>&#x2013;V<sub>g</sub> and g<sub>m</sub>, and <bold>(d)</bold> V<sub>t.</sub>
</p>
</caption>
<graphic xlink:href="fphy-13-1732657-g008.tif">
<alt-text content-type="machine-generated">Four graphs depicting electrical characteristics: (a) shows drain current versus drain voltage curves for different angles and kappa values; (b) displays Ion and Ioff currents versus gate voltage; (c) plots drain current and transconductance versus gate voltage; (d) presents threshold voltage sensitivity and variation against angle of taper. Each graph contains multiple colored lines and markers representing different conditions.</alt-text>
</graphic>
</fig>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>I<sub>ON</sub>/I<sub>OFF</sub> values for different taper angles.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">The angle of taper, &#x3b8; (Fill 100 %)</th>
<th align="center">&#x3ba;</th>
<th align="center">
<inline-formula id="inf208">
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<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf209">
<mml:math id="m226">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf210">
<mml:math id="m227">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">0&#xb0;</td>
<td align="left">1</td>
<td align="left">
<inline-formula id="inf211">
<mml:math id="m228">
<mml:mrow>
<mml:mn>7.96</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf212">
<mml:math id="m229">
<mml:mrow>
<mml:mn>2.31</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>14</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf213">
<mml:math id="m230">
<mml:mrow>
<mml:mn>3.45</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mn>10</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">0&#xb0;</td>
<td align="left">2.5</td>
<td align="left">
<inline-formula id="inf214">
<mml:math id="m231">
<mml:mrow>
<mml:mn>7.43</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf215">
<mml:math id="m232">
<mml:mrow>
<mml:mn>1.66</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>14</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf216">
<mml:math id="m233">
<mml:mrow>
<mml:mn>4.47</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mn>10</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">30&#xb0;</td>
<td align="left">1</td>
<td align="left">
<inline-formula id="inf217">
<mml:math id="m234">
<mml:mrow>
<mml:mn>7.69</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf218">
<mml:math id="m235">
<mml:mrow>
<mml:mn>5.6</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>13</mml:mn>
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</mml:mrow>
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</inline-formula>
</td>
<td align="left">
<inline-formula id="inf219">
<mml:math id="m236">
<mml:mrow>
<mml:mn>1.37</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mn>9</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">30&#xb0;</td>
<td align="left">2.5</td>
<td align="left">
<inline-formula id="inf220">
<mml:math id="m237">
<mml:mrow>
<mml:mn>7.26</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf221">
<mml:math id="m238">
<mml:mrow>
<mml:mn>5.02</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf222">
<mml:math id="m239">
<mml:mrow>
<mml:mn>1.45</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mn>8</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">45&#xb0;</td>
<td align="left">1</td>
<td align="left">
<inline-formula id="inf223">
<mml:math id="m240">
<mml:mrow>
<mml:mn>7.78</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf224">
<mml:math id="m241">
<mml:mrow>
<mml:mn>6.02</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf225">
<mml:math id="m242">
<mml:mrow>
<mml:mn>1.29</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mn>8</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">45&#xb0;</td>
<td align="left">2.5</td>
<td align="left">
<inline-formula id="inf226">
<mml:math id="m243">
<mml:mrow>
<mml:mn>7.33</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf227">
<mml:math id="m244">
<mml:mrow>
<mml:mn>5.20</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf228">
<mml:math id="m245">
<mml:mrow>
<mml:mn>1.41</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mn>8</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">60&#xb0;</td>
<td align="left">1</td>
<td align="left">
<inline-formula id="inf229">
<mml:math id="m246">
<mml:mrow>
<mml:mn>7.25</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf230">
<mml:math id="m247">
<mml:mrow>
<mml:mn>8.20</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>11</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf231">
<mml:math id="m248">
<mml:mrow>
<mml:mn>0.88</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mn>7</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">60&#xb0;</td>
<td align="left">2.5</td>
<td align="left">
<inline-formula id="inf232">
<mml:math id="m249">
<mml:mrow>
<mml:mn>7.36</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf233">
<mml:math id="m250">
<mml:mrow>
<mml:mn>6.58</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>11</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf234">
<mml:math id="m251">
<mml:mrow>
<mml:mn>1.12</mml:mn>
<mml:mi>X</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mn>7</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s4-3">
<label>4.3</label>
<title>Comparison of different MOSHEMT structures</title>
<p>
<xref ref-type="table" rid="T6">Table 6</xref> shows a comparison between the different structures implemented by the authors in previous works and this work. Every structure shows variation in some parameters when the permittivity of the CUG changes. The single-gate, single-CUG MOSHEMT (SG-SCUG-MH) is implemented in [<xref ref-type="bibr" rid="B17">17</xref>], the single-gate, dual-CUG-MOSHEMT (SG-DuCUG-MH) is implemented in [<xref ref-type="bibr" rid="B38">38</xref>], the single-gate, single-CUG tapered dielectric MOSHEMT (SG-SCUG-TD-MH) is implemented in [<xref ref-type="bibr" rid="B35">35</xref>], and the single-gate, dual-CUG MOSHEMT (SG-SCUG-MH) is implemented in [<xref ref-type="bibr" rid="B37">37</xref>]. The table shows that the tapered shows better sensitivity over its non-tapered counterpart. The comparison was carried out for <inline-formula id="inf235">
<mml:math id="m252">
<mml:mrow>
<mml:mi>&#x3ba;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>8</mml:mn>
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</mml:math>
</inline-formula>.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Comparison of parameter variations for different MOSHEMT structures.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Device type</th>
<th align="center">SG-SCUG-MH [<xref ref-type="bibr" rid="B17">17</xref>]</th>
<th align="center">SG-SCUG-TD-MH [<xref ref-type="bibr" rid="B35">35</xref>]</th>
<th align="center">SG-DuCUG-MH [<xref ref-type="bibr" rid="B38">38</xref>]</th>
<th align="center">SG-DCUG-TD-MH [<xref ref-type="bibr" rid="B36">36</xref>]</th>
<th align="center">DG-DCUG-MH [this work]</th>
<th align="center">DG-QC-TD-MH [this work]</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">
<inline-formula id="inf236">
<mml:math id="m253">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi>I</mml:mi>
</mml:mrow>
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<p>For all cases, the DG-QC-TD-MH exhibits an improved sensitivity over the other structures. Each structure can detect a biomolecule when a suitable sensing metric is selected. A comparison of the single-gate and double-gate structures shows that the latter give better results, but this is at the cost of fabrication complexities and the impact of short-channel effects as the gate length was reduced for double-gate structures. The single-gate structures with single and dual CUG with non-tapered and tapered dielectric using HfO<sub>2</sub> gave reasonably better results than the existing literature. We see an improvement in sensitivity in the tapered dielectric structures, ranging from single to double gates, owing to the increased sensing area and hybridization section made available in the CUG.</p>
<p>
<xref ref-type="table" rid="T7">Table 7</xref> presents a comparison of variation in parameters and sensitivity with recent MOSHEMT and MOSFET biosensors. Note that the proposed DG-QC-TD-MH structure offers higher sensitivity than its counterparts. The improved sensitivity values are due to the larger surface area offered by the tapered cavities under the gate.</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Comparison of parameter and sensitivity variations with existing biosensors.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Device type</th>
<th align="center">MOSHEMT [<xref ref-type="bibr" rid="B39">39</xref>]</th>
<th align="center">MOSHEMT [<xref ref-type="bibr" rid="B40">40</xref>]</th>
<th align="center">MOSHEMT [<xref ref-type="bibr" rid="B41">41</xref>]</th>
<th align="center">MOSFET [<xref ref-type="bibr" rid="B42">42</xref>]</th>
<th align="center">DG-QC-TD-MH [this Work]</th>
</tr>
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</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<label>5</label>
<title>Conclusion</title>
<p>This article delves into the applicability of double-gate structures for biosensing. To analyze the performance of the device in the nano regime, a gate length of 100 nm is used to obtain improved results for various metrics. Below 50 nm, as <inline-formula id="inf262">
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</inline-formula> shrinks, the source and drain depletion regions begin to overlap, weakening gate control. SCE performance degrades, and DIBL and SS increase. A DG-MH structure with a CUG as a biosensor leverages the benefits of a double-gate structure and the high electron mobility properties of the semiconductor material to achieve sensitive and accurate biomolecule detection. The compact nature of the double-gate design allows for miniaturization, making it suitable for portable and point-of-care diagnostic applications.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material; further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>AD: Formal analysis, Writing &#x2013; original draft. NA: Data curation, Methodology, Writing &#x2013; review and editing. TP: Supervision, Methodology, Writing &#x2013; original draft. SM: Validation, Writing &#x2013; review and editing. KP: Writing &#x2013; review and editing. GK: Writing &#x2013; review and editing.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s10">
<title>Generative AI statement</title>
<p>The author(s) declared that generative AI was not used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<fn-group>
<fn fn-type="custom" custom-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3020509/overview">Yiying Feng</ext-link>, Suzhou University, China</p>
</fn>
<fn fn-type="custom" custom-type="reviewed-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2743336/overview">Avtar Singh</ext-link>, Adama Science and Technology University, Ethiopia</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3312882/overview">Suresh Balanethiram</ext-link>, National Institute of Technology Puducherry, India</p>
</fn>
</fn-group>
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