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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mater.</journal-id>
<journal-title>Frontiers in Materials</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mater.</abbrev-journal-title>
<issn pub-type="epub">2296-8016</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">846418</article-id>
<article-id pub-id-type="doi">10.3389/fmats.2022.846418</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Materials</subject>
<subj-group>
<subject>Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>On the Scope of GaN-Based Avalanche Photodiodes for Various Ultraviolet-Based Applications</article-title>
<alt-title alt-title-type="left-running-head">Ji and Chowdhury</alt-title>
<alt-title alt-title-type="right-running-head">GaN-Based Avalanche Photodiodes</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Ji</surname>
<given-names>Dong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1618220/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Chowdhury</surname>
<given-names>Srabanti</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1394250/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>School of Science and Engineering</institution>, <institution>The Chinese University of Hong Kong</institution>, <addr-line>Shenzhen</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Electrical Engineering</institution>, <institution>Stanford University</institution>, <addr-line>Stanford</addr-line>, <addr-line>CA</addr-line>, <country>United&#x20;States</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1277887/overview">Longxing Su</ext-link>, ShanghaiTech University, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1629358/overview">Daoyou Guo</ext-link>, Zhejiang Sci-Tech University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1629758/overview">Hongping Ma</ext-link>, Fudan University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Srabanti Chowdhury, <email>srabanti@stanford.edu</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Semiconducting Materials and Devices, a section of the journal Frontiers in Materials</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>11</day>
<month>03</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>9</volume>
<elocation-id>846418</elocation-id>
<history>
<date date-type="received">
<day>31</day>
<month>12</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>10</day>
<month>02</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Ji and Chowdhury.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Ji and Chowdhury</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). 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&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>We present a review of GaN avalanche photodiodes. GaN-based avalanche photodiodes are of emerging interest to the device community. The review covers various important aspects of the device such as the design space, substrate choice, edge termination efficacy, and last, but not least, the physics behind the avalanche breakdown in GaN. The study comprehends the reported impact ionization coefficients and how they may affect the device performances. Finally various reported GaN APDs are summarized and compared. We conclude that hole-initiated GaN APDs on free-standing GaN substrates can offer unprecedented advantages as ultraviolet light detectors, due to their ultra-high responsivity and low dark current.</p>
</abstract>
<kwd-group>
<kwd>GaN</kwd>
<kwd>photodiode</kwd>
<kwd>APD</kwd>
<kwd>UV detector</kwd>
<kwd>P-i-n diode</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>High gain ultraviolet (UV) light detectors are significant for various applications, such as medical imaging, optical communication, flame detection, chemical sensing, sterilization and purification, ozone sensing and detection, and various other emerging imaging applications for security. Currently, the dominant UV light detectors are based on photomultiplier tubes, which suffer from the high cost and low lifetime (<xref ref-type="bibr" rid="B82">Zheng et&#x20;al., 2020</xref>). Solid-state-based avalanche photodiodes (APDs) look attractive for UV light detections since they can change the landscape of UV detection by offering more durability, lower cost, and surpassing the performance of a tube-based multiplier. The APD is a highly sensitive photodetector that converts a light signal to an electrical signal and amplifies it by taking advantage of the carriers&#x2019; multiplication during impact ionization and avalanche (<xref ref-type="bibr" rid="B65">Sze and Ng, 2006</xref>).</p>
<p>Impact ionization occurs in a semiconductor when one energetic carrier, either an electron or a hole, loses its energy after scattering with the crystal lattice and generates more energetic electrons and holes. The generated electrons and holes continue to travel through the high electric field region where they continue to accelerate and eventually lose their energy to scattering with the crystal lattice, generating more and more carriers. This phenomenon leads to the multiplication of carriers leading to an avalanche breakdown in the device. However, when properly controlled the impact ionization process can be of great use for enabling various high frequency, high power amplifiers, and detectors. <xref ref-type="fig" rid="F1">Figure&#x20;1</xref> schematically illustrates the impact ionization process in a reverse-biased p-i-n junction to highlight the multiplication process.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Impact ionization process in a reverse-biased p-i-n junction.</p>
</caption>
<graphic xlink:href="fmats-09-846418-g001.tif"/>
</fig>
<p>The condition of avalanche often needs to be defined quantitatively for practical use of the phenomenon in devices. For instance, the multiplication factor, <italic>M</italic>, can be mathematically written as the following equation:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msup>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where <italic>V</italic> is the applied voltage and <italic>BV</italic> is the avalanche breakdown voltage.</p>
<p>In APDs, when the applied voltage is less than the BV, the device works in the linear mode. When the applied voltage equals to the BV, the multiplication factor tends to infinity, and the Geiger mode is triggered in an APD, which can be used appropriately for single-photon detections (<xref ref-type="bibr" rid="B21">Hu, 2008</xref>; <xref ref-type="bibr" rid="B18">Hadfield, 2009</xref>; <xref ref-type="bibr" rid="B76">Zhang, 2011</xref>).</p>
<p>Owing to its bandgap of 3.4&#xa0;eV and large electric field tolerance, GaN has exceptional advantages as APDs, serving various applications, particularly those that require high temperature and harsh environment tolerance.</p>
<p>To enable a GaN APD with robust avalanche capability, we have noted from our studies (<xref ref-type="bibr" rid="B25">Ji D. et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B26">Ji et&#x20;al., 2020a</xref>; <xref ref-type="bibr" rid="B24">Ji et&#x20;al., 2020b</xref>; <xref ref-type="bibr" rid="B23">Ji and Chowdhury, 2020</xref>) the following two requirements: 1) presence of high-quality epitaxial layers, which is possible when grown on free-standing GaN substrates; 2) optimized edge terminations to eliminate both localized peak electric field and dark leakage in the device.</p>
<p>Due to the absence of natural GaN substrates, GaN film growths for devices were primarily developed on foreign substrates, such as sapphire, silicon, or silicon carbide (<xref ref-type="bibr" rid="B1">Amano, 2015</xref>; <xref ref-type="bibr" rid="B39">Liu and Edgar, 2002</xref>; <xref ref-type="bibr" rid="B31">Krost and Dadgar, 2002</xref>; <xref ref-type="bibr" rid="B46">Mion et&#x20;al., 2006</xref>). Constrained by the lattice mismatch, as shown in <xref ref-type="fig" rid="F2">Figure&#x20;2</xref>, the GaN films are amenable to a large number of defect densities in the order of 10<sup>9</sup> or 10<sup>8</sup>&#xa0;cm<sup>&#x2212;2</sup> (<xref ref-type="bibr" rid="B1">Amano, 2015</xref>; <xref ref-type="bibr" rid="B39">Liu and Edgar, 2002</xref>; <xref ref-type="bibr" rid="B31">Krost and Dadgar, 2002</xref>; <xref ref-type="bibr" rid="B46">Mion et&#x20;al., 2006</xref>). Such defects can severely inhibit the impact ionization process. When a reverse bias is applied, the carrier can lose energy due to the scattering with the defects, inhibiting the impact ionization. <xref ref-type="table" rid="T1">Table&#x20;1</xref> summarizes the defect densities of different growth technologies. From various reports on the observation of avalanche, it can be concluded that the homogeneous growth technique based on free-standing GaN substrates enabling a lower defect density of 10<sup>3</sup>&#x2013;10<sup>6</sup>&#xa0;cm<sup>&#x2212;2</sup> (<xref ref-type="bibr" rid="B13">Fawamura et&#x20;al., 2006</xref>; <xref ref-type="bibr" rid="B56">Paskova and Evans, 2009</xref>) is essential for avalanche robustness.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The schematic of the lattice difference and the strain for GaN films grown on Si (left) and sapphire (right).</p>
</caption>
<graphic xlink:href="fmats-09-846418-g002.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>The comparison of dislocation density of different growth techniques. The lattice mismatch is calculated by (<italic>a</italic>
<sub>epi</sub>
<italic>&#x2212;a</italic>
<sub>sub</sub>)/<italic>a</italic>
<sub>sub.</sub>
</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Growth techniques</th>
<th align="center">Lattice mismatch (%)</th>
<th align="center">Dislocation density (cm<sup>&#x2212;2</sup>)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">GaN-on-Silicon</td>
<td align="char" char=".">&#x2212;17</td>
<td align="center">10<sup>8</sup>
</td>
</tr>
<tr>
<td align="left">GaN-on-Sapphire</td>
<td align="char" char=".">16</td>
<td align="center">10<sup>8</sup>
</td>
</tr>
<tr>
<td align="left">GaN-on-SiC</td>
<td align="char" char=".">3.1</td>
<td align="center">10<sup>8</sup>
</td>
</tr>
<tr>
<td align="left">GaN-on-GaN</td>
<td align="char" char=".">0</td>
<td align="center">10<sup>3</sup>&#x2013;10<sup>6</sup>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Over the last decade, researchers have spent extensive efforts to develop the free-standing GaN substrates using methods such as hydride vapor-phase epitaxy (HVPE), Ammonothermal, and sodium flux enabling the homogeneous growth of GaN (<xref ref-type="bibr" rid="B13">Fawamura et&#x20;al., 2006</xref>; <xref ref-type="bibr" rid="B56">Paskova and Evans, 2009</xref>). The issue of lattice mismatch could be solved by the homogeneous growth on free-standing single-crystalline GaN substrates. The overall quality of the epitaxial GaN was improved remarkably over the last decade, lowering the defect density in the material, making it suitable for impact ionization of carriers. On bulk GaN substrates, lo and behold, the impact ionization and avalanche breakdown were finally reported in p-i-n diodes in 2013 by Avogy Inc. (<xref ref-type="bibr" rid="B12">Disney et&#x20;al., 2013</xref>). Since then, multiple research groups have reported the avalanche breakdown in GaN p-n diodes and extended the capability to Junction Field-Effect Transistors (JFETs) (<xref ref-type="bibr" rid="B30">Kizilyalli et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B52">Nomoto et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B7">Cao et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B40">Maeda et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B25">Ji D. et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B42">Maeda et&#x20;al., 2019a</xref>; <xref ref-type="bibr" rid="B14">Fukushima et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B53">Ohta et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B26">Ji et&#x20;al., 2020a</xref>; <xref ref-type="bibr" rid="B24">Ji et&#x20;al., 2020b</xref>; <xref ref-type="bibr" rid="B23">Ji and Chowdhury, 2020</xref>; <xref ref-type="bibr" rid="B38">Liu et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B37">Liu et&#x20;al., 2021</xref>). Our GaN APDs (<xref ref-type="bibr" rid="B24">Ji et&#x20;al., 2020b</xref>), were also grown on the bulk GaN, which fulfilled the first requirement of high-quality- low defect density (LDD) epitaxial&#x20;films.</p>
<p>The second requirement for a guaranteed robust avalanche capability is efficient edge termination (<xref ref-type="bibr" rid="B3">Baliga, 2012</xref>). An edge termination that can provide extra negative charges to terminate the electric field lines at the device boundary to reduce any localized peak electric field at any surface or corners is important for the realization of an APD. <xref ref-type="fig" rid="F3">Figure&#x20;3</xref> shows several edge terminations that were proposed for avalanche GaN p-n diodes, including the ion implantation-based edge termination (<xref ref-type="bibr" rid="B30">Kizilyalli et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B26">Ji et&#x20;al., 2020a</xref>), etch-based edge termination (<xref ref-type="bibr" rid="B14">Fukushima et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B40">Maeda et&#x20;al., 2018</xref>), and field-plated edge termination in which the field plate is connected to the anode electrode (<xref ref-type="bibr" rid="B52">Nomoto et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B53">Ohta et&#x20;al., 2019</xref>). The schematic of the electric field distribution in the GaN p-n diodes with and without the ion-implanted edge termination is shown in <xref ref-type="fig" rid="F4">Figure&#x20;4</xref>. The most common technique to form the mesa and isolation is the dry etching, which could lead to sharp corners and the dense electric field lines around the device, as shown in <xref ref-type="fig" rid="F4">Figure 4A</xref>. <xref ref-type="fig" rid="F4">Figure 4B</xref> shows the schematic of a GaN p-n diode with the ion-implanted moat etch termination (<xref ref-type="bibr" rid="B26">Ji et&#x20;al., 2020a</xref>), where the corners are rounded during isolation and can effectively reduce the localized peak electric field. Moat termination combined with implantation can compensate for the dry etching-induced damages, eliminating the leakage current through the etched surface.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Reported edge terminations that enable GaN pn diodes with avalanche capability: <bold>(A)</bold> ion implanted edge termination (<xref ref-type="bibr" rid="B30">Kizilyalli et&#x20;al., 2013</xref>); <bold>(B)</bold> bevel etch edge termination (<xref ref-type="bibr" rid="B40">Maeda et&#x20;al., 2018</xref>); <bold>(C)</bold> deep etch edge termination (<xref ref-type="bibr" rid="B14">Fukushima et&#x20;al., 2019</xref>); <bold>(D)</bold> field plate edge termination (<xref ref-type="bibr" rid="B52">Nomoto et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B53">Ohta et&#x20;al., 2019</xref>); and <bold>(E)</bold> moat etch edge termination with ion implantation compensation (<xref ref-type="bibr" rid="B26">Ji et&#x20;al., 2020a</xref>).</p>
</caption>
<graphic xlink:href="fmats-09-846418-g003.tif"/>
</fig>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>The electric field in the reverse-biased p-n diodes: <bold>(A)</bold> without and <bold>(B)</bold> with edge termination. To enhance the avalanche robustness, edge terminations are required to enable more uniformly distributed electric fields, which can be indicated by more uniform electric field lines around the device in the figure.</p>
</caption>
<graphic xlink:href="fmats-09-846418-g004.tif"/>
</fig>
</sec>
<sec id="s2">
<title>Characterization of Avalanche Breakdown in GaN</title>
<p>The most notable feature with avalanche breakdown in GaN APDs is the positive temperature coefficient of the breakdown voltage. Impact ionization is a process that energy transfers from the energetic carriers to the crystal lattice by scattering. When the temperature is elevated, the crystal lattice vibration becomes stronger, which scatters the carriers more frequently and reduces the impact ionization mean free path. Therefore, it is more difficult for carriers to gain the threshold energy to trigger the impact ionization. Experimental data also indicate that the impact ionization coefficients of both electrons and holes are decreasing when the measurement temperature increases (<xref ref-type="bibr" rid="B25">Ji D. et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B41">Maeda et&#x20;al., 2019b</xref>; <xref ref-type="bibr" rid="B8">Cao et&#x20;al., 2021</xref>). <xref ref-type="fig" rid="F5">Figure&#x20;5A</xref> shows a temperature-dependent avalanche breakdown characteristics of a GaN APD reported by our group (<xref ref-type="bibr" rid="B24">Ji et&#x20;al., 2020b</xref>). It indicates that the breakdown voltage of the device increases with temperature linearly, as shown in <xref ref-type="fig" rid="F5">Figure&#x20;5B</xref>. The temperature-dependent breakdown voltage, <italic>BV</italic>(<italic>T</italic>), can be fitted to the following formula:<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>T</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>B</mml:mi>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3b8;</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>300</mml:mn>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where <italic>BV</italic>
<sub>
<italic>RT</italic>
</sub> is the breakdown voltage measured in the room temperature, and <italic>&#x3b8;</italic> is the temperature coefficient. According to the data presented in <xref ref-type="fig" rid="F5">Figure&#x20;5B</xref>, the temperature coefficient, <italic>&#x3b8;</italic>, of GaN can be extracted to be 3.85 &#xd7; 10<sup>&#x2013;4</sup> (<xref ref-type="bibr" rid="B24">Ji et&#x20;al., 2020b</xref>). <xref ref-type="table" rid="T2">Table&#x20;2</xref> summarizes the temperature coefficients of various semiconductors (<xref ref-type="bibr" rid="B19">Hall, 1967</xref>; <xref ref-type="bibr" rid="B67">Vassilevski et&#x20;al., 2000</xref>; <xref ref-type="bibr" rid="B16">Groves et&#x20;al., 2003</xref>; <xref ref-type="bibr" rid="B66">Tan et&#x20;al., 2010</xref>), it indicates that all the semiconductors have positive temperature coefficients, whose values are in the order of 10<sup>&#x2212;4</sup> K<sup>&#x2212;1</sup>. We should note here that the positive temperature coefficient is an extremely important verification of avalanche. This verification is critical in determining if the gain in the APD is due to avalanche or any other mechanism. III-V (e.g GaAs) devices avalanche at a much lower electric field (0.5&#xa0;MV/cm) and are more routinely observed. The measurement of the positive temperature coefficient is not often reported in III-As APDS (<xref ref-type="bibr" rid="B20">Hu et&#x20;al., 1996</xref>; <xref ref-type="bibr" rid="B2">Anselm et&#x20;al., 1997</xref>), perhaps due to its certainty. However, in GaN, often gain can be witnessed without avalanche, such as in heterojunction-based photodetectors, necessitating the importance of temperature measurements to confirm the avalanche.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>
<bold>(A)</bold> Temperature-dependent avalanche breakdown characteristics of a GaN APD; and <bold>(B)</bold> the breakdown voltage as a function of temperature. The breakdown voltage was defined as the applied voltage that the current reaches 10&#xa0;&#xb5;A. This figure is reprinted from AIP Publishing.</p>
</caption>
<graphic xlink:href="fmats-09-846418-g005.tif"/>
</fig>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>A summary of temperature coefficient of breakdown voltage of various semiconductors (<xref ref-type="bibr" rid="B19">Hall, 1967</xref>; <xref ref-type="bibr" rid="B67">Vassilevski et&#x20;al., 2000</xref>; <xref ref-type="bibr" rid="B16">Groves et&#x20;al., 2003</xref>; <xref ref-type="bibr" rid="B66">Tan et&#x20;al., 2010</xref>; <xref ref-type="bibr" rid="B24">Ji et&#x20;al., 2020b</xref>).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">
<italic>Semiconductors</italic>
</th>
<th align="center">
<italic>Temperature coefficient of breakdown voltage</italic> (<italic>K</italic>
<sup>
<italic>&#x2212;1</italic>
</sup>)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Si</td>
<td align="center">1.9 &#xd7; 10<sup>&#x2013;4</sup> to 6.8 &#xd7; 10<sup>&#x2013;4</sup>
</td>
</tr>
<tr>
<td align="left">GaAs</td>
<td align="center">1.4 &#xd7; 10<sup>&#x2013;4</sup> to 10 &#xd7; 10<sup>&#x2013;4</sup>
</td>
</tr>
<tr>
<td align="left">InP</td>
<td align="center">3.85 &#xd7; 10<sup>&#x2013;4</sup>
</td>
</tr>
<tr>
<td align="left">InAlAs</td>
<td align="center">2.7 &#xd7; 10<sup>&#x2013;4</sup>
</td>
</tr>
<tr>
<td align="left">SiC</td>
<td align="center">1.5 &#xd7; 10<sup>&#x2013;4</sup>
</td>
</tr>
<tr>
<td align="left">GaN</td>
<td align="center">3.85 &#xd7; 10<sup>&#x2013;4</sup>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Since GaN is a direct bandgap semiconductor, there are photons generated during the recombination of electrons and holes. When the GaN p-n diode is forward biased, there are electrons and holes injections into the p- and n-regions respectively, therefore an emission in the range of 370&#x2013;420&#xa0;nm light can be observed during the recombination of these carriers (<xref ref-type="bibr" rid="B49">Nakamura, 2015</xref>). When a reverse bias is applied to a GaN p-n diode and forces the device to an avalanche breakdown, the impact ionization process generates excess electrons and holes in the depletion region and should release photons during the radiative recombination of those carriers. Therefore, a 370&#x2013;420&#xa0;nm (violet/blue-violet) electroluminescence is expected to be observed in a GaN APD. This has been observed in GaAs where the 950&#xa0;nm light is emitted (<xref ref-type="bibr" rid="B33">Lahbabi et&#x20;al., 2004</xref>). <xref ref-type="fig" rid="F6">Figure&#x20;6A</xref> presents the optical microscope image of a GaN APD layout. The image of the APD with avalanche induced electroluminescence is shown in <xref ref-type="fig" rid="F6">Figure&#x20;6B</xref> (<xref ref-type="bibr" rid="B24">Ji et&#x20;al., 2020b</xref>).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>
<bold>(A)</bold> The optical microscope image of the APD layout. The APD edges were covered by metal, leaving a rectangular via to detect optical signals. <bold>(B)</bold> the image of the APD when the avalanche occurred, the light was emitted from the device.</p>
</caption>
<graphic xlink:href="fmats-09-846418-g006.tif"/>
</fig>
</sec>
<sec id="s3">
<title>Impact Ionization Coefficients</title>
<p>In GaN APDs, the impact ionization multiplication can be written as a function of impact ionization coefficients: <disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:mrow>
<mml:msubsup>
<mml:mo>&#x222b;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mi>W</mml:mi>
</mml:msubsup>
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:mrow>
<mml:msubsup>
<mml:mo>&#x222b;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mi>w</mml:mi>
</mml:msubsup>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3b2;</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>x</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:msup>
<mml:mi>d</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>And<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mstyle displaystyle="true">
<mml:mo>&#x222b;</mml:mo>
</mml:mstyle>
<mml:mn>0</mml:mn>
<mml:mi>W</mml:mi>
</mml:msubsup>
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mstyle displaystyle="true">
<mml:mo>&#x222b;</mml:mo>
</mml:mstyle>
<mml:mn>0</mml:mn>
<mml:mi>x</mml:mi>
</mml:msubsup>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3b1;</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>x</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mi>d</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>Where <italic>M</italic>
<sub>n</sub> is the electron-initiated multiplication factor and <italic>M</italic>
<sub>p</sub> is the hole-initiated multiplication factor, <italic>W</italic> is the width of the depletion region. The electron-initiated impact ionization multiplication is illustrated in <xref ref-type="fig" rid="F7">Figure&#x20;7A</xref>, where UV light illuminates the p-GaN region and the photogenerated electrons are drift into the depletion region and initiate the impact ionization process. <xref ref-type="fig" rid="F7">Figure&#x20;7B</xref> shows the hole-initiated impact ionization multiplication, where UV light illuminates the n-GaN layer and photogenerated holes initiate the impact ionization process.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>The schematic illustration of the <bold>(A)</bold> electron- and <bold>(B)</bold> hole-initiated impact ionization multiplication in GaN p-n junctions.</p>
</caption>
<graphic xlink:href="fmats-09-846418-g007.tif"/>
</fig>
<p>For GaN APDs, the performance, such as gain and excess noise, depends on the impact ionization coefficients of both electrons and holes (<xref ref-type="bibr" rid="B65">Sze and Ng, 2006</xref>). Therefore, it is important to measure the impact ionization coefficients in&#x20;GaN.</p>
<p>The reported estimated ionization coefficients in GaN are listed in <xref ref-type="table" rid="T3">Table&#x20;3</xref> and are plotted in <xref ref-type="fig" rid="F8">Figure&#x20;8</xref>.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Estimated impact ionization coefficients in GaN.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">
<italic>&#x3b1;</italic> (cm<sup>&#x2212;1</sup>)</th>
<th align="center">
<italic>&#x3b2;</italic> (cm<sup>&#x2212;1</sup>)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<xref ref-type="bibr" rid="B25">Ji D. et&#x20;al. (2019)</xref>
</td>
<td align="center">2.11 &#xd7; 10<sup>9</sup>exp (-3.689&#xd7;10<sup>7</sup>/E)</td>
<td align="center">4.39 &#xd7; 10<sup>6</sup>exp (-1.8&#xd7;10<sup>7</sup>/E)</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B7">Cao et&#x20;al. (2018)</xref>
</td>
<td align="center">4.48 &#xd7; 10<sup>8</sup>exp (-3.39&#xd7;10<sup>7</sup>/E)</td>
<td align="center">7.13 &#xd7; 10<sup>6</sup>exp (-1.46&#xd7;10<sup>7</sup>/E)</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B42">Maeda et&#x20;al. (2019a)</xref>
</td>
<td align="center">2.69 &#xd7; 10<sup>7</sup>exp (-2.27&#xd7;10<sup>7</sup>/E)</td>
<td align="center">4.32 &#xd7; 10<sup>6</sup>exp (-1.31&#xd7;10<sup>7</sup>/E)</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B55">&#xd6;zbek, (2012)</xref>
</td>
<td align="center">1.5 &#xd7; 10<sup>5</sup>exp (-1.413&#xd7;10<sup>7</sup>/E)</td>
<td align="center">6.4 &#xd7; 10<sup>5</sup>exp (-1.454&#xd7;10<sup>7</sup>/E)</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B32">Kunihiro et&#x20;al. (1999)</xref>
</td>
<td align="center">2.9 &#xd7; 10<sup>8</sup>exp (-3.4&#xd7;10<sup>7</sup>/E) (for E &#x3e; 1&#xa0;MV/cm)</td>
<td align="center">NA</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Reported impact ionization coefficients of electrons (&#x3b1;) and holes (&#x3b2;) in GaN (<xref ref-type="bibr" rid="B32">Kunihiro et&#x20;al., 1999</xref>; <xref ref-type="bibr" rid="B55">&#xd6;zbek, 2012</xref>; <xref ref-type="bibr" rid="B25">Ji D. et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B42">Maeda et&#x20;al., 2019a</xref>; <xref ref-type="bibr" rid="B8">Cao et&#x20;al., 2021</xref>).</p>
</caption>
<graphic xlink:href="fmats-09-846418-g008.tif"/>
</fig>
<p>The studies reflected in <xref ref-type="fig" rid="F8">Figure&#x20;8</xref>, helps us realize that within the reasonably high electric field range (1&#xa0;MV/cm&#x2014;3&#xa0;MV/cm), holes have a larger impact ionization coefficient compared to electrons in GaN, the hole-initiated multiplication APDs should have better performance compared to electron-initiated multiplication APDs, and this has been proved both theoretically and experimentally (<xref ref-type="bibr" rid="B43">McClintock et&#x20;al., 2007</xref>; <xref ref-type="bibr" rid="B45">Minder et&#x20;al., 2007</xref>; <xref ref-type="bibr" rid="B81">Zheng et&#x20;al., 2016</xref>).</p>
</sec>
<sec id="s4">
<title>A Survey of GaN-Based Avalanche Photodiode Structures</title>
<p>The early GaN APD studies belonged to electron-initiated devices where the structures were based on GaN-on-Sapphire (<xref ref-type="bibr" rid="B69">Verghese et&#x20;al., 1998</xref>; <xref ref-type="bibr" rid="B9">Carrano et&#x20;al., 2000</xref>; <xref ref-type="bibr" rid="B10">Cicek et&#x20;al., 2010</xref>; <xref ref-type="bibr" rid="B63">Sun et&#x20;al., 2010</xref>), as shown in <xref ref-type="fig" rid="F9">Figure&#x20;9A</xref>. Large defect density, as well as the etching-induced damages, contributed significantly to the high dark current density, which is in the range of 10<sup>&#x2013;4</sup> to 1&#xa0;A/cm<sup>2</sup> (<xref ref-type="bibr" rid="B69">Verghese et&#x20;al., 1998</xref>; <xref ref-type="bibr" rid="B9">Carrano et&#x20;al., 2000</xref>; <xref ref-type="bibr" rid="B10">Cicek et&#x20;al., 2010</xref>; <xref ref-type="bibr" rid="B63">Sun et&#x20;al., 2010</xref>). With the introduction of GaN-on-GaN APDs, as shown in <xref ref-type="fig" rid="F9">Figure&#x20;9B</xref>, dark current density of less than 10<sup>&#x2013;4</sup>&#xa0;A/cm<sup>2</sup> could be realized, along with a gain of 10<sup>4</sup> (<xref ref-type="bibr" rid="B36">Limb et&#x20;al., 2006</xref>; <xref ref-type="bibr" rid="B60">Shen et&#x20;al., 2007</xref>; <xref ref-type="bibr" rid="B75">Yoo et&#x20;al., 2007</xref>; <xref ref-type="bibr" rid="B78">Zhang et&#x20;al., 2008</xref>; <xref ref-type="bibr" rid="B77">Zhang et&#x20;al., 2009</xref>).</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>The reported GaN APD structures: <bold>(A)</bold> front-illuminated electron-initiated APDs on sapphire or SiC substrates; <bold>(B)</bold> front-illuminated electron-initiated APDs on free-standing GaN substrates; <bold>(C)</bold> back-illuminated hole-initiated APDs based on sapphire substrates, and <bold>(D)</bold> front-illuminated hole-initiated APDs based on free-standing GaN substrates.</p>
</caption>
<graphic xlink:href="fmats-09-846418-g009.tif"/>
</fig>
<p>Because the hole&#x2019;s impact ionization coefficient is much larger than the electron&#x2019;s in GaN, the hole-initiated APDs are more attractive due to the low excess noise factor and high gain (<xref ref-type="bibr" rid="B81">Zheng et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B43">McClintock et&#x20;al., 2007</xref>; <xref ref-type="bibr" rid="B45">Minder et&#x20;al., 2007</xref>). Therefore, backside-illuminated GaN-on-Sapphire APDs (p-type on top) were proposed and fabricated (<xref ref-type="bibr" rid="B43">McClintock et&#x20;al., 2007</xref>; <xref ref-type="bibr" rid="B45">Minder et&#x20;al., 2007</xref>), as shown in <xref ref-type="fig" rid="F9">Figure&#x20;9C</xref>. Although the backside-illuminated GaN-on-Sapphire APDs achieved remarkable performance compared to the topside (aka frontside)-illuminated electron-initiated APDs, the backside-illuminated APDs structures will face challenges when transferred from its free-standing GaN substrate. An alternative path was attempted with a buried p-GaN layer. Ionization of acceptors in buried p-GaN layers remains to be a challenge in GaN. Mg is a deep acceptor in GaN with an energy difference of 0.17&#xa0;eV from the valence band. When doped, about 1% Mg is active to provide free holes in the system. Innovative methods have increased this activation to 10% (<xref ref-type="bibr" rid="B61">Smorchkova et&#x20;al., 2000</xref>; <xref ref-type="bibr" rid="B50">Nakayaa et&#x20;al., 1996</xref>) and created more efficient p-n junctions. It has been vastly studied, that during the MOCVD growth, the Mg dopants in the p-GaN are compensated by H, forming the Mg-H complex (<xref ref-type="bibr" rid="B47">Nakamura et&#x20;al., 1992a</xref>; <xref ref-type="bibr" rid="B48">Nakamura et&#x20;al., 1992b</xref>). If the Mg-doped GaN is buried beneath the n-GaN, because of the limited H diffusion in n-GaN (<xref ref-type="bibr" rid="B11">Czernecki et&#x20;al., 2018</xref>), Mg dopants cannot be activated. To activate the buried Mg-doped GaN, one must etch through the n-GaN layers, exposing the p-GaN to the atmosphere (<xref ref-type="bibr" rid="B35">Li et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B51">Narita et&#x20;al., 2018</xref>). <xref ref-type="fig" rid="F9">Figure&#x20;9D</xref> presents an n-p structure grown on a GaN substrate reported by <xref ref-type="bibr" rid="B24">Ji et&#x20;al. (2020b)</xref>, which is good for topside illumination hole-initiated&#x20;APDs.</p>
<p>To enhance the pure hole-injection, the separated absorption and multiplication (SAM) design was utilized. In the regular p-i-n structure, the mixed-mode injection can be caused by the absorption of light in the multiplication layer, which may affect the device&#x2019;s gain and noise. Therefore, by adding a charge layer to separate the absorption and multiplication layers is an effective way to enhance the gain and reduce noise. <xref ref-type="fig" rid="F10">Figure&#x20;10A</xref> shows the schematic of a backside illuminated SAM APD structure (<xref ref-type="bibr" rid="B44">McClintock et&#x20;al., 2009</xref>; <xref ref-type="bibr" rid="B80">Zheng et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B71">Wang et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B59">Shao et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B27">Ji et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B79">Zhang et&#x20;al., 2020</xref>), and the corresponding electric field distribution along the depletion region. By inserting a Si-doped charge layer to separate the absorption and multiplication layers, the electric field in the absorption layer remains low that avalanche multiplication cannot be triggered in the absorption layer, while the electric field in the multiplication layer remains high where the avalanche can occur. Multiple groups have reported the structure shown in <xref ref-type="fig" rid="F10">Figure&#x20;10A</xref>, however, the backside-illumination configuration cannot be achieved with bulk GaN substrates.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>
<bold>(A)</bold> The separated absorption and multiplication (SAM) structure based on GaN-on-Sapphire (left) and the corresponding electric field distribution along the vertical direction (right). <bold>(B)</bold> the proposed SAM structure based on GaN-on-GaN (left) and the corresponding electric field along the vertical direction (right).</p>
</caption>
<graphic xlink:href="fmats-09-846418-g010.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F10">Figure&#x20;10B</xref> highlights a proposed SAM APD structure based on bulk GaN substrates, which is modified from our prior reported structure (<xref ref-type="bibr" rid="B24">Ji et&#x20;al., 2020b</xref>). The structure includes a separated absorption and multiplication layers on top of a buried p-GaN layer. The corresponding electric field distribution is also shown in <xref ref-type="fig" rid="F10">Figure&#x20;10B</xref>. Compared to the reported GaN APD structures, the structure shown in <xref ref-type="fig" rid="F10">Figure&#x20;10B</xref> has three advantages: 1) homoepitaxial growth using bulk GaN substate; 2) the hole-initiation; and 3) the SAM structure. These combinations show a great potential for producing high-sensitivity UV detectors.</p>
<p>One other important feature of GaN-based APD is its high-temperature tolerance. Because of the wide bandgap, the intrinsic carrier density of GaN, which is proportional to <inline-formula id="inf1">
<mml:math id="m5">
<mml:mrow>
<mml:msup>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>/</mml:mo>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>p</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>g</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>k</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> remains low with elevated temperatures. Therefore, the dark current density of GaN-based APDs remains low under high-temperature environments. Our previous work indicated that the GaN APD can be well operated under a temperature up to 525&#xa0;K (<xref ref-type="bibr" rid="B24">Ji et&#x20;al., 2020b</xref>). GaN APDs thus outshines any competing technologies offering superior performance not only in terms of high gain and low dark current but also high-temperature tolerance. Due to the inert nature of GaN, these APDs are expected to be great candidates in harsh environments and future studies are expected to offer us those discussions.</p>
<p>Last but not least, compared to the photoconductor and phototransistor, p-i-n based photodetectors have the fastest response time, which is determined by three factors: 1) the diffusion time of carriers before they enter the depletion region, 2) the transient time through the depletion region, and 3) the <italic>R</italic>
<sub>L</sub>
<italic>C</italic>
<sub>p-i-n</sub> time delay, where <italic>R</italic>
<sub>L</sub> is the load resistance, and the <italic>C</italic>
<sub>p-i-n</sub> is the junction capacitance. To minimize the response time, the n-GaN layer thickness should be minimized for the hole-initiated APD, and the p-GaN layer thickness should be minimized for the electron-initiated APD. Additionally, the device should be well designed to minimize the junction capacitance. <xref ref-type="table" rid="T4">Table&#x20;4</xref> summarizes the reported response time of various GaN photodetectors, it indicates that GaN p-i-n diode and APD have the fastest response speed compared to other types of devices, enabling a short response time of 10<sup>&#x2013;8</sup>&#xa0;s.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Response times of various GaN based photodetectors.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Photodetectors</th>
<th align="center">Reported response time (s)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">photoconductor</td>
<td align="left">10, <xref ref-type="bibr" rid="B64">Sun et&#x20;al. (2022)</xref>, 0.076, <xref ref-type="bibr" rid="B58">Satterthwaite et&#x20;al. (2018)</xref>
</td>
</tr>
<tr>
<td align="left">phototransistor</td>
<td align="left">6.7e-4, <xref ref-type="bibr" rid="B74">Yeh et&#x20;al. (2019)</xref>, 3.7e-5, <xref ref-type="bibr" rid="B57">Qiu et&#x20;al. (2020)</xref>
</td>
</tr>
<tr>
<td align="left">Heterojunction photodiode</td>
<td align="left">0.07, <xref ref-type="bibr" rid="B34">Li et&#x20;al. (2017)</xref>, 1.8e-2, <xref ref-type="bibr" rid="B17">Guo et&#x20;al. (2018)</xref>
</td>
</tr>
<tr>
<td align="left">p-n photodiode</td>
<td align="left">1.2e-8, <xref ref-type="bibr" rid="B73">Xu et&#x20;al. (1997)</xref>, 1e-8 <xref ref-type="bibr" rid="B54">Osinsky et&#x20;al. (1997)</xref>
</td>
</tr>
<tr>
<td align="left">Avalanche photodiode</td>
<td align="left">1.5e-8, <xref ref-type="bibr" rid="B72">Wang et&#x20;al. (2020)</xref>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The reported GaN APD structures and performances are summarized in <xref ref-type="table" rid="T5">Table&#x20;5</xref>, which suggests that hole-initiated APD on GaN substrate enabled a record responsivity up to 60 A/W. This result has sparked interest in weak UV light detections.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Summary of the reported key results on GaN avalanche photodiodes.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">
<italic>Substrate</italic>
</th>
<th align="center">
<italic>Front/Back-illuminated</italic>
</th>
<th align="center">
<italic>Electron/Hole-initiated</italic>
</th>
<th align="center">
<italic>BV (V)</italic>
</th>
<th align="center">
<italic>I</italic>
<sub>Dark</sub> (A/cm<sup>2</sup> at 95% BV)</th>
<th align="center">Maximum responsivity (A/W)</th>
<th align="center">Maximum gain</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<xref ref-type="bibr" rid="B24">Ji et&#x20;al. (2020b)</xref>
</td>
<td align="left">GaN</td>
<td align="center">Front</td>
<td align="center">Hole</td>
<td align="char" char=".">278</td>
<td align="center">1.5 &#xd7; 10<sup>&#x2013;5</sup>
</td>
<td align="center">60</td>
<td align="center">10<sup>5</sup>
</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B4">Bayram et&#x20;al. (2008)</xref>
</td>
<td align="left">Sapphire</td>
<td align="center">Back</td>
<td align="center">Hole</td>
<td align="char" char=".">90</td>
<td align="center">0.044</td>
<td align="center">0.163</td>
<td align="center">1.9&#xd7;10<sup>4</sup>
</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B6">Cai et&#x20;al. (2018)</xref>
</td>
<td align="left">Sapphire</td>
<td align="center">Back</td>
<td align="center">Hole</td>
<td align="char" char=".">66.5</td>
<td align="center">0.01</td>
<td align="center">0.15</td>
<td align="center">2e4</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B22">Huang et&#x20;al. (2012)</xref>
</td>
<td align="left">Sapphire</td>
<td align="center">Back</td>
<td align="center">Hole</td>
<td align="char" char=".">90</td>
<td align="center">3.5e-3</td>
<td align="center">2</td>
<td align="center">3e3</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B15">Gautam et&#x20;al. (2021)</xref>
</td>
<td align="left">Sapphire</td>
<td align="center">Back</td>
<td align="center">Hole</td>
<td align="char" char=".">80</td>
<td align="center">0.8</td>
<td align="center">NA</td>
<td align="center">5e4</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B28">Ji M. et&#x20;al. (2019)</xref>, <xref ref-type="bibr" rid="B62">Sood et&#x20;al. (2019)</xref>
</td>
<td align="left">GaN</td>
<td align="center">Front</td>
<td align="center">Electron</td>
<td align="char" char=".">75</td>
<td align="center">2 &#xd7; 10<sup>&#x2013;3</sup>
</td>
<td align="center">NA</td>
<td align="center">2.8&#xd7;10<sup>7</sup>
</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B29">Kim et&#x20;al. (2015)</xref>
</td>
<td align="left">GaN</td>
<td align="center">Front</td>
<td align="center">Electron</td>
<td align="char" char=".">100</td>
<td align="center">1 &#xd7; 10<sup>&#x2013;4</sup>
</td>
<td align="center">0.8</td>
<td align="center">8&#xd7;10<sup>5</sup>
</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B60">Shen et&#x20;al. (2007)</xref>
</td>
<td align="left">GaN</td>
<td align="center">Front</td>
<td align="center">Electron</td>
<td align="char" char=".">92.3</td>
<td align="center">2 &#xd7; 10<sup>&#x2013;4</sup>
</td>
<td align="center">0.15</td>
<td align="center">1.4&#xd7;10<sup>4</sup>
</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B70">Wang, (2020)</xref>
</td>
<td align="left">GaN</td>
<td align="center">Front</td>
<td align="center">Electron</td>
<td align="char" char=".">95.4</td>
<td align="center">4e-5</td>
<td align="center">0.14</td>
<td align="center">2e6</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B29">Kim et&#x20;al. (2015)</xref>
</td>
<td align="left">Sapphire</td>
<td align="center">Front</td>
<td align="center">Electron</td>
<td align="char" char=".">90</td>
<td align="center">1 &#xd7; 10<sup>&#x2013;2</sup>
</td>
<td align="center">NA</td>
<td align="center">2&#xd7;10<sup>4</sup>
</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B5">Butun et&#x20;al. (2008)</xref>
</td>
<td align="left">Sapphire</td>
<td align="center">Front</td>
<td align="center">Electron</td>
<td align="char" char=".">&#x3e;120</td>
<td align="center">1.27 &#xd7; 10<sup>&#x2013;4</sup>
</td>
<td align="center">0.23</td>
<td align="center">NA</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B68">Verghese et&#x20;al. (2001)</xref>
</td>
<td align="left">Sapphire</td>
<td align="center">Front</td>
<td align="center">Electron</td>
<td align="char" char=".">92</td>
<td align="center">795</td>
<td align="center">NA</td>
<td align="center">300</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B83">Zhou et&#x20;al. (2011)</xref>
</td>
<td align="left">SiC</td>
<td align="center">Front</td>
<td align="center">Electron</td>
<td align="char" char=".">160</td>
<td align="center">2 &#xd7; 10<sup>&#x2013;8</sup>
</td>
<td align="center">4.2</td>
<td align="center">10<sup>5</sup>
</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s5">
<title>Summary</title>
<p>In this article, we attempted to shed some light on GaN avalanche photodiodes for UV detection and the possibilities, which are of growing interest. GaN APDs are naturally suited to serve application that requires high temperature/harsh environment tolerance. The design space of GaN APDs was reviewed. It is quite clear from prior reports that a robust avalanche capability in GaN APDs are the result of at least two key requirements are discussed: 1) LDD in the epitaxial layers to offer the travel distance for the carriers to establish an avalanche process; and 2) optimized edge termination that can eliminate the localized peak electric field around the device edges. In the context of APD performance, we discussed the importance of the positive temperature coefficient of breakdown voltage, as well as the observation of avalanche-induced electroluminescence that ensures the gain mechanism is reliable. In addition, GaN&#x2019;s impact ionization coefficients were discussed to highlight the scope of GaN APDs in applications. Since the ratio of hole&#x2019;s and electron&#x2019;s impact ionization coefficients (&#x3b2;/&#x3b1;) is so large, the hole-initiated GaN APDs with buried p-GaN layer are more attractive due to the low excess noise and high&#x20;gain.</p>
</sec>
</body>
<back>
<sec id="s6">
<title>Author Contributions</title>
<p>DJ and SC proposed the idea, collected data, and wrote the article.</p>
</sec>
<sec sec-type="COI-statement" id="s7">
<title>Conflict of Interest</title>
<p>The authors declare that the research 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="disclaimer" id="s8">
<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>
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