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<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>
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<article-id pub-id-type="publisher-id">1652733</article-id>
<article-id pub-id-type="doi">10.3389/fmats.2025.1652733</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Materials</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Next-generation lead-free solar cells with MASnBr<sub>3</sub>/ZnSnN<sub>2</sub> dual absorbers for high efficiency</article-title>
<alt-title alt-title-type="left-running-head">Hasan 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/fmats.2025.1652733">10.3389/fmats.2025.1652733</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Hasan</surname>
<given-names>Md. Mehedi</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<contrib contrib-type="author">
<name>
<surname>Siddika</surname>
<given-names>Mst. Aysha</given-names>
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<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Ali</surname>
<given-names>Md. Feroz</given-names>
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<xref ref-type="aff" rid="aff3">
<sup>3</sup>
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<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<contrib contrib-type="author">
<name>
<surname>Sheikh</surname>
<given-names>Md. Rafiqul Islam</given-names>
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<sup>1</sup>
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<contrib contrib-type="author">
<name>
<surname>Al Mamun</surname>
<given-names>Abdullah</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
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<xref ref-type="aff" rid="aff5">
<sup>5</sup>
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<name>
<surname>Hossen</surname>
<given-names>Md Jakir</given-names>
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<xref ref-type="aff" rid="aff6">
<sup>6</sup>
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<aff id="aff1">
<sup>1</sup>
<institution>Department of Electrical and Electronic Engineering</institution>, <institution>Rajshahi University of Engineering and Technology</institution>, <addr-line>Rajshahi</addr-line>, <country>Bangladesh</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Electrical and Electronic Engineering</institution>, <institution>Pundra University of Science and Technology</institution>, <addr-line>Bogura</addr-line>, <country>Bangladesh</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Electrical and Electronic Engineering</institution>, <institution>Pabna University of Science and Technology</institution>, <addr-line>Pabna</addr-line>, <country>Bangladesh</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Department of Electrical and Electrical Engineering</institution>, <institution>Feni University</institution>, <addr-line>Feni</addr-line>, <country>Bangladesh</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>School of Information and Communication Technology</institution>, <institution>Griffith University</institution>, <addr-line>Brisbane</addr-line>, <addr-line>QLD</addr-line>, <country>Australia</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>Center for Advanced Analytics (CAA), COE for Artificial Intelligence, Faculty of Engineering and Technology (FET)</institution>, <institution>Multimedia University</institution>, <addr-line>Melaka</addr-line>, <country>Malaysia</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/192226/overview">Jinghua Guo</ext-link>, Berkeley Lab (DOE), United States</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/2508108/overview">Dipayan Pal</ext-link>, University of California, San Diego, United States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3125117/overview">Zeeshan Khan</ext-link>, University of Engineering and Technology, Pakistan</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Md. Feroz Ali, <email>feroz071021@gmail.com</email>; Md Jakir Hossen, <email>jakir.hossen@mmu.edu.my</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>18</day>
<month>08</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>12</volume>
<elocation-id>1652733</elocation-id>
<history>
<date date-type="received">
<day>24</day>
<month>06</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>28</day>
<month>07</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Hasan, Siddika, Ali, Sheikh, Al Mamun and Hossen.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Hasan, Siddika, Ali, Sheikh, Al Mamun and Hossen</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 terms.</p>
</license>
</permissions>
<abstract>
<p>This study presents a next-generation lead-free perovskite solar cell (PVSC) architecture employing a dual-absorber design using MASnBr<sub>3</sub> and ZnSnN<sub>2</sub> to enhance photovoltaic performance while ensuring environmental sustainability. The proposed structure&#x2014;FTO/n-ZnO/p-MASnBr<sub>3</sub>/p-<sup>&#x2b;</sup>ZnSnN<sub>2</sub>/p-<sup>&#x2b;&#x2b;</sup>CNTS/Au&#x2014;was simulated and optimized using SCAPS-1D software. Extensive material and structural optimization was conducted, including selection of electron and hole transport layers as well as tuning absorber thickness, doping concentration, and defect density. The dual-absorber configuration leverages the complementary optical properties of MASnBr<sub>3</sub> (bandgap: 1.3 eV) and ZnSnN<sub>2</sub> (bandgap: 1.5 eV), enhancing spectral absorption and carrier separation. Optimization of interface properties, series/shunt resistance, and operating temperature further improved the device&#x2019;s efficiency and stability. The final optimized structure achieved a power conversion efficiency (PCE) of 35.87%, with open-circuit voltage (V<sub>OC</sub>) of 1.17 V, short-circuit current density (J<sub>SC</sub>) of 34.39 mA/cm<sup>2</sup>, and fill factor (FF) of 89.01%. Quantum efficiency analysis confirmed near-unity photon-to-charge conversion across the visible spectrum. This work demonstrates the viability of combining lead-free perovskites with nitride absorbers for high-efficiency, eco-friendly solar technologies and provides a scalable pathway for future experimental validation and commercialization of sustainable photovoltaic systems.</p>
</abstract>
<kwd-group>
<kwd>lead-free perovskite solar cells</kwd>
<kwd>dual absorber architecture</kwd>
<kwd>MASnBr3</kwd>
<kwd>ZnSnN2</kwd>
<kwd>SCAPS-1D simulation</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Energy Materials</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>The development of renewable energy is a promising option due to the threat posed by climate change, the depletion of fossil fuels, the lack of energy storage, and massive energy production. Due to its sustainable and environmentally friendly low cost of generation, maintenance, and operation, solar energy has seen an unparalleled rise in the previous few decades and achieved crucial relevance in the field of renewable energy technology. Perovskite solar cells (PVSCs) are one of the newest third-generation photovoltaic (PV) technologies, and they have attracted a lot of interest because of their powerful exciton transitions, low processing temperature, tiny carrier effective masses, long carrier diffusion length, and high optical absorption (<xref ref-type="bibr" rid="B63">Zheng et al., 2018</xref>) (<xref ref-type="bibr" rid="B33">Malyukov et al., 2016</xref>). PVSCs, have a power conversion efficiency (PCE) of over 25% when used in a single junction configuration, have drawn a lot of interest in solar energy systems (<xref ref-type="bibr" rid="B43">Qin et al., 2023</xref>). Presently, the most efficient composition for PVSCs in the ABX<sub>3</sub> perovskite structure is composed of a combination of lead (Pb) in the B positive ion area, methylammonium (CH<sub>3</sub>NH<sub>3</sub>
<sup>&#x2b;</sup>), caesium (Cs<sup>&#x2b;</sup>), and formamidinium (NH<sub>2</sub>CHNH<sub>2</sub>
<sup>&#x2b;</sup>) in the A positive ion area, and either bromine (Br) or iodine (I) in the X positive ion area (<xref ref-type="bibr" rid="B19">Jiang et al., 2019</xref>). The first PVSCs using methylammonium lead iodide (CH<sub>3</sub>NH<sub>3</sub>PbI<sub>3</sub>) and methylammonium lead bromide (CH<sub>3</sub>NH<sub>3</sub>PbBr<sub>3</sub>) as solid sensitizers with liquid electrolytes in dye-sensitized solar cells (DSSCs) were reported in 2009 b y Kojima et al., a Tokyo-based group led by Tsutomu Miyasaka. (<xref ref-type="bibr" rid="B25">Kojima et al., 2009</xref>). Due to their dissolution in liquid electrolytes, MAPbBr<sub>3</sub> and MAPbI<sub>3</sub> DSSCs demonstrated low PCEs of 3.81% and 3.13% with a few-minute lifetimes, respectively (<xref ref-type="bibr" rid="B2">Arabpour Roghabadi et al., 2018</xref>). The PCE was reported to have increased to 10.9% in 2012 utilizing an organic halide meso superstructured perovskites solar cell, then to 20% in 2014. The PCE of the MAPbI<sub>3</sub>-based devices increased from 3.81 percent to 23.3 percent at a bandgap of 1.55 eV (<xref ref-type="bibr" rid="B30">Lee and Lee, 1979</xref>) (<xref ref-type="bibr" rid="B62">Yal&#xe7;in and &#xd6;zt&#xfc;rk, 2013</xref>) (<xref ref-type="bibr" rid="B53">Stoumpos et al., 2013</xref>) (<xref ref-type="bibr" rid="B25">Kojima et al., 2009</xref>) (<xref ref-type="bibr" rid="B24">Khatana and Mehra, 2019</xref>). However, because lead is poisonous and soluble in bodily fluids, it has an adverse effect on human health and, for the same reasons, poses a major obstacle to the widespread use of lead-based PVSCs (<xref ref-type="bibr" rid="B39">Needleman, 2004</xref>).</p>
<p>There are several lead-free perovskite absorber materials that have wide band gaps, making them viable substitutes for lead-containing perovskites. The discovery of non-lead PVSCs has prompted research into metal halides, including Sb, Ag, Sn, Cu, Ge, and Bi substitutes. In certain instances, Sn-based perovskite exhibits similar or better characteristics to Pb-based perovskite, such as scant exciton binding energy (&#x3c;100 meV), narrow bandgap (1.28&#x2013;1.55 eV), higher carrier mobility (10<sup>2</sup>&#x2013;10<sup>3</sup> cm<sup>2</sup> V<sup>&#x2212;1</sup> s<sup>-1</sup>), long carrier diffusion length (10<sup>2</sup>&#x2013;10<sup>5</sup> nm) and long recombination time, high absorption coefficient (greater than 10&#x2013;<sup>4</sup> cm<sup>-1</sup>), and high conductivity (<xref ref-type="bibr" rid="B14">Hasan and Ahmed, 2021</xref>) (<xref ref-type="bibr" rid="B8">Eperon G. et al., 2014</xref>) (<xref ref-type="bibr" rid="B60">Watthage et al., 2018</xref>) (<xref ref-type="bibr" rid="B32">Li et al., 2019</xref>). Various perovskite absorber materials free of lead emissions Notable examples are caesium tin iodide (CsSnI<sub>3</sub>: 1.22 eV), formamidinium tin iodide (FASnI<sub>3</sub>: 1.41 eV), and methylammonium tin iodide (MASnI<sub>3</sub>: 1.3 eV) due to their wide band gaps, which make them viable substitutes for perovskites that contain toxic lead (<xref ref-type="bibr" rid="B52">Song et al., 2018</xref>). Because of their perfect band gap of 1.3 eV, perovskites with metal halides, as CH<sub>3</sub>NH<sub>3</sub>SnBr<sub>3</sub> also have in particular emerged as viable possibilities for non-lead perovskite solar cells. The absorber layer of PVSCs was deposited using a variety of techniques, including spin coating, ink-jet printing, blade coating, thermal evaporation, and spray coating (<xref ref-type="bibr" rid="B61">Yadav and Kumar, 2024</xref>). Furthermore, lead-free MASnBr<sub>3</sub> films were deposited using SnBr<sub>2</sub> and MABr in the co-evaporation and sequential evaporation procedures (<xref ref-type="bibr" rid="B20">Jung et al., 2016</xref>). Solar cell efficiencies in co-evaporation-prepared perovskite films ranged from 0.03% to 0.35% when three distinct hole transport layers (HTLs) (spiro-OMeTAD, C<sub>60</sub>, and P3HT) were used. On the other hand, MASnBr<sub>3</sub> perovskite films produced by sequential deposition were more efficient (1.12%) than those produced by co-evaporation. Furthermore, by altering absorber thickness, MASnBr<sub>3</sub> was used as a light harvesting material to achieve different efficiency levels of 17.46, 21.66, and 23.66% (<xref ref-type="bibr" rid="B34">Mohammed et al., 2024</xref>) (<xref ref-type="bibr" rid="B16">Imani et al., 2023</xref>) (<xref ref-type="bibr" rid="B27">Kumavat and Sonvane, 2023</xref>). For Sn-based PVSCs, a potential PCE limit of approximately 30% has been calculated (<xref ref-type="bibr" rid="B6">Dixit et al., 2019</xref>). Thus, it can be concluded that the proposed perovskite structure (MASnBr<sub>3</sub>) is a great substitute for the most stable and efficient lead-free PVSC (<xref ref-type="bibr" rid="B12">Haneef et al., 2024a</xref>).</p>
<p>Due to the low efficiency of PVSCs in comparison to other solar cells, one layer of perovskite MASnBr<sub>3</sub> and one layer of semiconductor zinc tin nitride (ZnSnN<sub>2</sub>) were utilized in this investigation as the active layer, which absorbs light. In contrast, the modelled structure uses ZnSnN<sub>2</sub> as a second absorber since it is an attractive II-IV-V<sub>2</sub> semiconductor material composed of inexpensive, nontoxic, and readily available materials (<xref ref-type="bibr" rid="B1">Aissat et al., 2016</xref>). The Zn-IV-N<sub>2</sub> crystal structure is an orthorhombic wurtzite hexagonal shape. These III-N(III-V) pseudo-materials also have significant optical absorption coefficients, spontaneous polarization, and a direct bandgap, among other piezoelectric and optoelectronic characteristics (<xref ref-type="bibr" rid="B28">Laidouci et al., 2020</xref>). RF magnetron co-sputtering was used to deposit the ZnSnN<sub>2</sub> films (<xref ref-type="bibr" rid="B28">Laidouci et al., 2020</xref>). The stoichiometry was ascertained by XRF (X-ray Fluorescence Spectroscopy), electrical measurements were made using the Hall effect, and the structure and phase purity of the films were assessed using XRD (X-Ray Diffraction) (<xref ref-type="bibr" rid="B28">Laidouci et al., 2020</xref>). In several earlier studies, ZnSnN<sub>2</sub> was used as an absorber layer in solar cells with single and double absorber layer structures, which produced exceptional efficiency (<xref ref-type="bibr" rid="B29">Laidouci et al., 2023</xref>) (&#x201d;31. Numerical simulation on an). Despite all these characteristics, ZnSnN<sub>2</sub> is a suitable absorber layer since it boosts the overall stability of the suggested structure. Both MASnBr<sub>3</sub> and ZnSnN<sub>2</sub> are composed of earth-abundant, non-toxic elements like tin, zinc, nitrogen, and bromine, making them attractive for sustainable PV applications. Their precursors are relatively low-cost, and fabrication methods such as co-evaporation and RF sputtering are scalable, supporting the development of eco-friendly and commercially viable solar cells (<xref ref-type="bibr" rid="B28">Laidouci et al., 2020</xref>).</p>
<p>A numerical analysis of a unique lead-free PVSC architecture that incorporates two absorber layers is presented in this work. Two inherent photon absorber materials sandwiched between an n-doped ETL and a p-doped HTL make up a typical PVSC. Because of their effective charge carrier transportation management, the HTL and ETL are both crucial to the empowerment of PVSCs with high PCE. Here, we optimized the MASnBr<sub>3</sub>/ZnSnN<sub>2</sub>-based structure using six ETL (ZnO, TiO<sub>2</sub>, SnO<sub>2</sub>, SnS<sub>2</sub>, IGZO, and WS<sub>2</sub>) and eight types of HTL (CNTS (copper nickel tin sulfide), NiO, MoO<sub>3</sub>, Cu2O, CZTSe, CuI, P3H, and Spiro-OMeTAD). This revealed a new and stable structure that all reach the stable theoretical PCE. We have optimized the thickness and doping concentration of all HTLs and ETLs as well as the thickness of the absorbers layer, acceptor and donor doping charge concentration of the absorption layer, defect density of two absorber layers, interface defect density of the ETL/MASnBr<sub>3</sub>, and ZnSnN<sub>2</sub>/HTL layers, series and shunt resistance. In contrast, among all the optimized results, the combination of ZnO as ETL and CNTS as HLT in the FTO/n-ZnO/p-MASnBr<sub>3</sub>/p-<sup>&#x2b;</sup>ZnSnN<sub>2</sub>/p-<sup>&#x2b;&#x2b;</sup>CNTS/Back contact structure provides the maximum PCE of 35.87%.</p>
</sec>
<sec id="s2">
<title>2 Basic conceptual terms and device design</title>
<p>The SCAPS-1D software, which was created specially to investigate the optical and electrical properties that are advantageous for achieving a high degree of PCE, was used to carry out the simulation procedure. The Department of Electronics and Information Systems (ELIS) at the University of Ghent in Belgium is where the SCAPS software is developed (<xref ref-type="bibr" rid="B26">Kumar et al., 2024</xref>). In here, the band gap of the MASnBr<sub>3</sub> material (1.3 eV) is somewhat over the ideal range for achieving high PCE in single junction PVSCs. To achieve high performance efficiency by expanding the light absorption regime from the low infrared region to the high infrared range of the electromagnetic spectrum, research has instead focused on adding an additional absorber layer (ZnSnN<sub>2</sub>) with a narrower bandgap below 1.5 eV. The addition of an absorber layer of lower bandgap material would enable the absorption regime to extend to the infrared region, whereas single junction-based PVSCs require an absorber layer within the (1.5 eV&#x2013;1.3 eV) range. <xref ref-type="fig" rid="F1">Figure 1A</xref> shows the several layers that make up the PVSC that we have built.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>
<bold>(a)</bold> Schematic layout of the PVSC with two absorbing layers and <bold>(b)</bold> energy band layout of FTO/n-ZnO/p-ZnSnN<sub>2</sub>/p<sup>&#x2b;</sup>-MASnBr<sub>3</sub>/p<sup>&#x2b;&#x2b;</sup>-CNTS/Au- back contact.</p>
</caption>
<graphic xlink:href="fmats-12-1652733-g001.tif">
<alt-text content-type="machine-generated">Diagram of a solar cell structure and energy band alignment. Image (a) shows layers from top to bottom: FTO, n-ETL, P-ZnSnN&#x2082;, P&#x207A;-MASnBr&#x2083;, P&#x207A;&#x207A;-HTL, Au-Back contact. Image (b) is a plot of energy (eV) versus thickness (&#xB5;m) illustrating energy levels: Ec, Fn, Fp, Ev across CNTs and MASnBr&#x2083; layers with specified energy values at various points.</alt-text>
</graphic>
</fig>
<p>These layers consist of a platinum (Au) back metal electrode, an FTO layer, an ETL layer, a MASnBr<sub>3</sub> absorber layer, another absorber layer of ZnSnN<sub>2</sub>, and an HTL layer. The addition of two energy-absorbing layers, MASnBr<sub>3</sub> and ZnSnN<sub>2</sub>, improves the PVSCs&#x2019; efficiency. All forms of HTL (NiO, CNTS, MoO<sub>3</sub>, Cu<sub>2</sub>O, CZTSe, CuI, P3HT, and Spiro-OMeTAD) and ETL (TiO<sub>2</sub>, ZnO, SnO<sub>2</sub>, SnS<sub>2</sub>, IGZO, and WS<sub>2</sub>) were gradually evaluated in conjunction with a MASnBr<sub>3</sub>/ZnSnN<sub>2</sub>-based structure that revealed the HTL of CNTS and the ETL of ZnO combined structure offered the highest efficiency. The FTO/n-ZnO/p-ZnSnN2/p<sup>&#x2b;</sup>-MASnBr<sub>3</sub>/p<sup>&#x2b;&#x2b;</sup>-CNTS/Au-back contact structure&#x2019;s arrangement is shown in <xref ref-type="fig" rid="F1">Figure 1a</xref>. <xref ref-type="fig" rid="F1">Figure 1b</xref> illustrates the energy band alignment of the optimized device architecture. Under equilibrium, the Fermi level aligns throughout the stack, ensuring built-in electric fields at the interfaces that drive charge separation. At the ETL/absorber interface, a small conduction band offset (CBO &#x2248; &#x2b;0.1 eV) forms a modest spike that assists in selective electron extraction while minimizing backflow. Simultaneously, the absorber/HTL interface exhibits a slight valence band offset (VBO &#x2248; &#x2b;0.05 eV), facilitating hole transport while suppressing recombination. Using SCAPS 1D-simulation software, the effects of each operational layer&#x2019;s properties, such as the FTO/n-ZnO/p-ZnSnN<sub>2</sub>/p<sup>&#x2b;</sup>-MASnBr<sub>3</sub>/p<sup>&#x2b;&#x2b;</sup>-CNTS/Au-back contact device&#x2019;s width, carrier, and density of defect, were evaluated. Using the Poisson and continuity equations for two charge carriers is the foundation of SCAPS-1D&#x2019;s operation (<xref ref-type="bibr" rid="B26">Kumar et al., 2024</xref>). The technology allows for the construction of various types of solar cells by manipulating up to seven layers, and simulations may be carried out in both light and dark conditions. Poisson&#x2019;s equation is used to generate the following <xref ref-type="disp-formula" rid="e1">Equation 1</xref>, which represents the p&#x2013;n junction (<xref ref-type="bibr" rid="B26">Kumar et al., 2024</xref>):<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mfrac>
<mml:mi>&#x2202;</mml:mi>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3f5;</mml:mi>
<mml:mi>o</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>&#x3f5;</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>&#x3c8;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>q</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>e</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>D</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>A</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi mathvariant="italic">def</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>In the context of solar cell film, the variable <italic>C</italic>
<sub>
<italic>A</italic>
</sub> stands for the acceptor density and the variable <italic>C</italic>
<sub>
<italic>D</italic>
</sub> for the donor density. Furthermore, <italic>h and e</italic> stand for holes and electrons, respectively, <italic>N</italic>
<sub>
<italic>def</italic>
</sub> for trap concentration, <italic>&#x3c8;</italic> for electrostatic potential, and <italic>q</italic> for charge. The electron and hole continuity equations are the following <xref ref-type="disp-formula" rid="e2">Equations 2</xref>, <xref ref-type="disp-formula" rid="e3">3</xref> (<xref ref-type="bibr" rid="B26">Kumar et al., 2024</xref>) (<xref ref-type="bibr" rid="B58">Wahid et al., 2024</xref>):<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:msub>
<mml:mi>J</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>G</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:msub>
<mml:mi>J</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>G</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>In the provided equations, <italic>G</italic> represents the carrier generation rate, <italic>R</italic>
<sub>
<italic>e</italic>
</sub> the electron recombination rate, and <italic>R</italic>
<sub>
<italic>h</italic>
</sub> the hole recombination rate. The symbols <italic>J</italic>
<sub>
<italic>e</italic>
</sub> and <italic>J</italic>
<sub>
<italic>p</italic>
</sub> stand for electron and hole current density, respectively. The carrier current density can be computed using the electron and hole concentrations, which are represented by the following <xref ref-type="disp-formula" rid="e4">Equations 4</xref>, <xref ref-type="disp-formula" rid="e5">5</xref> (<xref ref-type="bibr" rid="B3">Bimli et al., 2023</xref>) (<xref ref-type="bibr" rid="B37">Nair et al., 2023</xref>):<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mi>J</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>q</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>q</mml:mi>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
<disp-formula id="e5">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi>J</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>q</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
<mml:mi>E</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>q</mml:mi>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>u</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>here, the terms for electrons and holes, as well as the corresponding diffusion coefficients, are denoted by the letters <italic>D</italic>
<sub>
<italic>e</italic>
</sub> and <italic>D</italic>
<sub>
<italic>h</italic>
</sub>, respectively.</p>
<p>The Shockley Read Hall (SRH) recombination prototype is integrated into each design layer in this investigation. The following set of <xref ref-type="disp-formula" rid="e6">Equations 6</xref>&#x2013;<xref ref-type="disp-formula" rid="e9">9</xref> serves as the foundation for the SRH trap model (<xref ref-type="bibr" rid="B38">Nair et al., 2024</xref>):<disp-formula id="e6">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>H</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>h</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mi>n</mml:mi>
<mml:mi>i</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mi>l</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
<disp-formula id="e7">
<mml:math id="m7">
<mml:mrow>
<mml:mi>&#x3b6;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mi>&#x3c3;</mml:mi>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
<disp-formula id="e8">
<mml:math id="m8">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>k</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mi>q</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
<disp-formula id="e9">
<mml:math id="m9">
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>&#x3b6;</mml:mi>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>where <italic>V</italic>
<sub>
<italic>t</italic>&#x210e;</sub>, <italic>N</italic>
<sub>
<italic>t</italic>
</sub>, <italic>&#x3c3;</italic>, D, <italic>&#x3bc;</italic>, K, T, and <italic>&#x3b6;</italic> stand for temperature-dependent motion of charge, mobility of charge, density of defect, capture area, coefficient of diffusion, Boltzmann constant, temperature, and carrier lifespan, respectively.</p>
<p>
<xref ref-type="table" rid="T1">Tables 1</xref>, <xref ref-type="table" rid="T3">3</xref> display the PVSC architecture&#x2019;s material specifications and provide a thorough rundown of the PVSC interface defect standard. To account for interface recombination effects, neutral interfacial defect parameters were incorporated at each layer junction, as summarized in <xref ref-type="table" rid="T2">Table 2</xref>. These include a defect density of 1 &#xd7; 10<sup>10</sup> cm<sup>-3</sup> and symmetric electron/hole capture cross-sections (1 &#xd7; 10<sup>&#x2212;19</sup> cm<sup>2</sup>), representing trap-assisted recombination at interfaces in a realistic manner (<xref ref-type="bibr" rid="B26">Kumar et al., 2024</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Fundamental input parameters for our PVSC&#x2019;s various materials.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Material property</th>
<th align="center">CNTS</th>
<th align="center">ZnSnN<sub>2</sub>
</th>
<th align="center">MASnBr<sub>3</sub>
</th>
<th align="center">ZnO</th>
<th align="center">FTO</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Thickness [nm]</td>
<td align="center">100</td>
<td align="center">800</td>
<td align="center">800</td>
<td align="center">50</td>
<td align="center">200</td>
</tr>
<tr>
<td align="center">Bandgap, <italic>E</italic>.g., [eV]</td>
<td align="center">1.74</td>
<td align="center">1.5</td>
<td align="center">1.3</td>
<td align="center">3.3</td>
<td align="center">3.5</td>
</tr>
<tr>
<td align="center">Electron affinity, &#x3a7; [eV]</td>
<td align="center">3.87</td>
<td align="center">4.1</td>
<td align="center">4.17</td>
<td align="center">4</td>
<td align="center">4.0</td>
</tr>
<tr>
<td align="center">Relative dielectric permittivity, <italic>&#x3f5;</italic>
<sub>r</sub>
</td>
<td align="center">9</td>
<td align="center">15</td>
<td align="center">10</td>
<td align="center">9</td>
<td align="center">9.0</td>
</tr>
<tr>
<td align="center">Conduction band effective density of states <italic>N</italic>
<sub>C</sub> (1 cm<sup>-3</sup>)</td>
<td align="center">2.2 &#xd7; 10<sup>18</sup>
</td>
<td align="center">1.2 &#xd7; 10<sup>18</sup>
</td>
<td align="center">2.2 &#xd7; 10<sup>18</sup>
</td>
<td align="center">3.7 &#xd7; 10<sup>18</sup>
</td>
<td align="center">2.2 &#xd7; 10<sup>18</sup>
</td>
</tr>
<tr>
<td align="center">Valence band effective density of states <italic>N</italic>
<sub>V</sub> (1 cm<sup>-3</sup>)</td>
<td align="center">1.8 &#xd7; 10<sup>19</sup>
</td>
<td align="center">7.8 &#xd7; 10<sup>19</sup>
</td>
<td align="center">1.8 &#xd7; 10<sup>18</sup>
</td>
<td align="center">1.8 &#xd7; 10<sup>19</sup>
</td>
<td align="center">1.8 &#xd7; 10<sup>19</sup>
</td>
</tr>
<tr>
<td align="center">Electron mobility, &#x3bc;n (cm<sup>2</sup> V s<sup>-1</sup>)</td>
<td align="center">11</td>
<td align="center">12.68</td>
<td align="center">1.6</td>
<td align="center">100</td>
<td align="center">20</td>
</tr>
<tr>
<td align="center">Hole mobility, &#x3bc;h (cm<sup>2</sup> V s<sup>-1</sup>)</td>
<td align="center">11</td>
<td align="center">5.26</td>
<td align="center">1.6</td>
<td align="center">25</td>
<td align="center">10</td>
</tr>
<tr>
<td align="center">Donor density<italic>, N</italic>
<sub>D</sub> (1 cm<sup>-3</sup>)</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">1 &#xd7; 10<sup>13</sup>
</td>
<td align="center">1 &#xd7; 10<sup>18</sup>
</td>
<td align="center">10<sup>18</sup>
</td>
</tr>
<tr>
<td align="center">Acceptor density, <italic>N</italic>
<sub>A</sub> (1 cm<sup>-3</sup>)</td>
<td align="center">1 &#xd7; 10<sup>19</sup>
</td>
<td align="center">1 &#xd7; 10<sup>16</sup>
</td>
<td align="center">1 &#xd7; 10<sup>13</sup>
</td>
<td align="center">0</td>
<td align="center">0</td>
</tr>
<tr>
<td align="center">Total density (cm<sup>-3</sup>)</td>
<td align="center">1 &#xd7; 10<sup>14</sup>
</td>
<td align="center">1 &#xd7; 10<sup>14</sup>
</td>
<td align="center">1 &#xd7; 10<sup>14</sup>
</td>
<td align="center">1 &#xd7; 10<sup>15</sup>
</td>
<td align="center">10<sup>15</sup>
</td>
</tr>
<tr>
<td align="center">References</td>
<td align="center">
<xref ref-type="bibr" rid="B55">Uddin et al. (2024)</xref>
</td>
<td align="center">
<xref ref-type="bibr" rid="B41">Pappu et al. (2024)</xref>
</td>
<td align="center">
<xref ref-type="bibr" rid="B12">Haneef et al. (2024a)</xref>
</td>
<td align="center">
<xref ref-type="bibr" rid="B15">Hossain et al. (2022)</xref>
</td>
<td align="center">
<xref ref-type="bibr" rid="B55">Uddin et al. (2024)</xref>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Essential interfacial defect properties of the PVSC that was constructed (<xref ref-type="bibr" rid="B26">Kumar et al., 2024</xref>).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Parameter</th>
<th align="center">Between all layers</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Defect density</td>
<td align="center">Neutral</td>
</tr>
<tr>
<td align="center">Electron capture cross section (cm<sup>2</sup>)</td>
<td align="center">1.0 &#xd7; 10<sup>&#x2212;19</sup>
</td>
</tr>
<tr>
<td align="center">Hole capture cross section (cm<sup>2</sup>)</td>
<td align="center">1.0 &#xd7; 10<sup>&#x2212;19</sup>
</td>
</tr>
<tr>
<td align="center">Energetic distribution</td>
<td align="center">Single</td>
</tr>
<tr>
<td align="center">Reference of defect energy level</td>
<td align="center">Above the highest E<sub>v</sub>
</td>
</tr>
<tr>
<td align="center">Energy level with respect to E<sub>v</sub>
</td>
<td align="center">0.6</td>
</tr>
<tr>
<td align="center">Overall density (cm<sup>&#x2212;3</sup>)</td>
<td align="center">1 &#xd7; 10<sup>10</sup>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Additionally, all computer simulations are run with an incoming light brightness of 1000W/m<sup>2</sup>, which is equivalent to the mass of air (AM) 1.5G solar spectra, and the PVSC operates at a constant temperature of 300K. Furthermore, a perovskite solar cell&#x2019;s series resistance should be as low as feasible to reduce resistive losses and guarantee that the load receives the maximum power produced by the cell (<xref ref-type="bibr" rid="B49">Sekar et al., 2020</xref>). Conversely, the shunt resistance value ought to be extremely high. By lowering leakage currents via other pathways, high shunt resistance preserves high V<sub>OC</sub> and FF (<xref ref-type="bibr" rid="B49">Sekar et al., 2020</xref>).</p>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>3 Results and discussion</title>
<sec id="s3-1">
<title>3.1 Identifying the proper ETL</title>
<p>Identifying ETL is essential for optimizing charge extraction and improving overall performance in PVSCs. With Cu<sub>2</sub>O as HTL, six ETL materials ZnO, TiO<sub>2</sub>, SnO<sub>2</sub>, SnS<sub>2</sub>, IGZO, and WS<sub>2</sub>, were systematically evaluated. A series of simulations were performed to examine the impact of each ETL on the photovoltaic performance of the device. The energy band structure of ETLs is shown in <xref ref-type="fig" rid="F2">Figure 2</xref>.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>For different ETLs: <bold>(a)</bold> PV performance metrics, <bold>(b)</bold> energy band alignment for the MASnBr<sub>3</sub>/ZnSnN<sub>2</sub> double-absorber structure.</p>
</caption>
<graphic xlink:href="fmats-12-1652733-g002.tif">
<alt-text content-type="machine-generated">Chart (a) shows performance metrics for materials ZnO, TiO&#x2082;, SnO&#x2082;, SnS&#x2082;, IGZO, and WS&#x2082;, including Voc, Jsc, FF, and PCE values. Chart (b) illustrates energy level alignments of various components like FTO, IGZO, and TiO&#x2082;, with arrows indicating electron flow in an electronic structure.</alt-text>
</graphic>
</fig>
<p>The typical features of several ETLs are shown in <xref ref-type="table" rid="T3">Table 3</xref>, whereas <xref ref-type="table" rid="T4">Table 4</xref> shows the PVSC performance metrics for various ETLs together with the associated CBOs.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Necessary input parameters for various ETLs.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Material property</th>
<th align="center">ZnO</th>
<th align="center">WS<sub>2</sub>
</th>
<th align="center">SnS<sub>2</sub>
</th>
<th align="center">TiO<sub>2</sub>
</th>
<th align="center">PCBM</th>
<th align="center">IGZO</th>
<th align="center">SnO2</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">
<italic>t</italic> [nm]</td>
<td align="center">50</td>
<td align="center">100</td>
<td align="center">30</td>
<td align="center">30</td>
<td align="center">50</td>
<td align="center">30</td>
<td align="center">100</td>
</tr>
<tr>
<td align="center">
<italic>E</italic>.g., [eV]</td>
<td align="center">3.3</td>
<td align="center">1.8</td>
<td align="center">1.85</td>
<td align="center">3.2</td>
<td align="center">2</td>
<td align="center">3.05</td>
<td align="center">3.6</td>
</tr>
<tr>
<td align="center">
<italic>&#x3a7;</italic> [eV]</td>
<td align="center">4</td>
<td align="center">3.95</td>
<td align="center">4.26</td>
<td align="center">3.9</td>
<td align="center">3.9</td>
<td align="center">4.16</td>
<td align="center">4</td>
</tr>
<tr>
<td align="center">
<italic>&#x3f5;</italic>
<sub>r</sub>
</td>
<td align="center">9</td>
<td align="center">13.6</td>
<td align="center">17.7</td>
<td align="center">9</td>
<td align="center">3.9</td>
<td align="center">10</td>
<td align="center">9</td>
</tr>
<tr>
<td align="center">
<italic>N</italic>
<sub>C</sub> (1 cm<sup>-3</sup>)</td>
<td align="center">3.7 &#xd7; 10<sup>18</sup>
</td>
<td align="center">1 &#xd7; 10<sup>18</sup>
</td>
<td align="center">7.32 &#xd7; 10<sup>18</sup>
</td>
<td align="center">1 &#xd7; 10<sup>19</sup>
</td>
<td align="center">2.5 &#xd7; 10<sup>21</sup>
</td>
<td align="center">5 &#xd7; 10<sup>18</sup>
</td>
<td align="center">2.2 &#xd7; 10<sup>18</sup>
</td>
</tr>
<tr>
<td align="center">
<italic>N</italic>
<sub>V</sub> (1 cm<sup>-3</sup>)</td>
<td align="center">1.8 &#xd7; 10<sup>19</sup>
</td>
<td align="center">2.4 &#xd7; 10<sup>19</sup>
</td>
<td align="center">1 &#xd7; 10<sup>19</sup>
</td>
<td align="center">1 &#xd7; 10<sup>19</sup>
</td>
<td align="center">2.5 &#xd7; 10<sup>21</sup>
</td>
<td align="center">5 &#xd7; 10<sup>18</sup>
</td>
<td align="center">1.8 &#xd7; 10<sup>19</sup>
</td>
</tr>
<tr>
<td align="center">&#x3bc;<sub>n</sub> (cm<sup>2</sup> V s<sup>-1</sup>)</td>
<td align="center">100</td>
<td align="center">100</td>
<td align="center">50</td>
<td align="center">20</td>
<td align="center">0.2</td>
<td align="center">15</td>
<td align="center">100</td>
</tr>
<tr>
<td align="center">&#x3bc;<sub>h</sub> (cm<sup>2</sup> V s<sup>-1</sup>)</td>
<td align="center">25</td>
<td align="center">100</td>
<td align="center">25</td>
<td align="center">10</td>
<td align="center">0.2</td>
<td align="center">0.1</td>
<td align="center">25</td>
</tr>
<tr>
<td align="center">
<italic>N</italic>
<sub>D</sub> (1 cm<sup>-3</sup>)</td>
<td align="center">1 &#xd7; 10<sup>18</sup>
</td>
<td align="center">1 &#xd7; 10<sup>18</sup>
</td>
<td align="center">9.85 &#xd7; 10<sup>17</sup>
</td>
<td align="center">1,017</td>
<td align="center">2.93 &#xd7; 10<sup>21</sup>
</td>
<td align="center">1 &#xd7; 10<sup>17</sup>
</td>
<td align="center">1 &#xd7; 10<sup>17</sup>
</td>
</tr>
<tr>
<td align="center">
<italic>N</italic>
<sub>A</sub> (1 cm<sup>-3</sup>)</td>
<td align="center">0</td>
<td align="left"/>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
</tr>
<tr>
<td align="center">
<italic>N</italic>
<sub>
<italic>T</italic>
</sub> (cm<sup>-3</sup>)</td>
<td align="center">1 &#xd7; 10<sup>15</sup>
</td>
<td align="center">1 &#xd7; 10<sup>15</sup>
</td>
<td align="center">10<sup>14</sup>
</td>
<td align="center">10<sup>14</sup>
</td>
<td align="center">10<sup>15</sup>
</td>
<td align="center">10<sup>14</sup>
</td>
<td align="center">10<sup>14</sup>
</td>
</tr>
<tr>
<td align="center">References</td>
<td align="center">
<xref ref-type="bibr" rid="B50">Shamna and Sudheer (2022)</xref>
</td>
<td align="center">
<xref ref-type="bibr" rid="B55">Uddin et al. (2024)</xref>
</td>
<td align="center">
<xref ref-type="bibr" rid="B26">Kumar et al. (2024)</xref>
</td>
<td align="center">(<xref ref-type="bibr" rid="B51">Singh et al., 2021</xref>) (<xref ref-type="bibr" rid="B26">Kumar et al., 2024</xref>)</td>
<td align="center">
<xref ref-type="bibr" rid="B11">Hossain et al. (2022)</xref>
</td>
<td align="center">
<xref ref-type="bibr" rid="B11">Hossain et al. (2022)</xref>
</td>
<td align="center">
<xref ref-type="bibr" rid="B11">Hossain et al. (2022)</xref>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Performance of the PVSC for different ETLs with CNTS as HTL.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">ETL</th>
<th align="center">CBO</th>
<th align="center">V<sub>OC</sub>
</th>
<th align="center">J<sub>SC</sub>
</th>
<th align="center">FF</th>
<th align="center">PCE</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">ZnO</td>
<td align="center">0.1</td>
<td align="center">1.0960</td>
<td align="center">32.81</td>
<td align="center">84.27</td>
<td align="center">30.30</td>
</tr>
<tr>
<td align="center">TiO<sub>2</sub>
</td>
<td align="center">0.2</td>
<td align="center">1.0959</td>
<td align="center">32.79</td>
<td align="center">84.29</td>
<td align="center">30.29</td>
</tr>
<tr>
<td align="center">SnO<sub>2</sub>
</td>
<td align="center">0.1</td>
<td align="center">1.0957</td>
<td align="center">32.75</td>
<td align="center">84.34</td>
<td align="center">30.27</td>
</tr>
<tr>
<td align="center">SnS2</td>
<td align="center">&#x2212;0.16</td>
<td align="center">1.0972</td>
<td align="center">32.75</td>
<td align="center">84.16</td>
<td align="center">30.25</td>
</tr>
<tr>
<td align="center">IGZO</td>
<td align="center">&#x2212;0.06</td>
<td align="center">1.0963</td>
<td align="center">32.73</td>
<td align="center">84.21</td>
<td align="center">30.22</td>
</tr>
<tr>
<td align="center">WS<sub>2</sub>
</td>
<td align="center">0.15</td>
<td align="center">1.0974</td>
<td align="center">32.70</td>
<td align="center">83.86</td>
<td align="center">30.10</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>To find the CBOs for the ETLs, the following <xref ref-type="disp-formula" rid="e10">Equation 10</xref> is applied (<xref ref-type="bibr" rid="B42">Qaid et al., 2024</xref>):<disp-formula id="e10">
<mml:math id="m10">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>B</mml:mi>
<mml:mi>O</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>A</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>
</p>
<p>Here, <inline-formula id="inf1">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>X</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> indicates the electron affinity of the ETL, whereas <inline-formula id="inf2">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>A</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> indicates the electron affinity of the ZnSnN<sub>2</sub>-based absorber. The CBOs for ZnO, TiO<sub>2</sub>, SnO<sub>2</sub>, SnS<sub>2</sub>, IGZO, and WS<sub>2</sub> are 0.1eV, 0.2eV, 0.1eV, &#x2212;0.16eV, &#x2212;0.06eV, and 0.15eV, respectively, according to the data in <xref ref-type="table" rid="T4">Table 4</xref>. The motion of electrons produced by photons is impeded by materials with positive CBO, whereas it is facilitated by materials with negative CBO (<xref ref-type="bibr" rid="B42">Qaid et al., 2024</xref>). However, an extremely negative CBO may cause electrons to accumulate at the absorber/ETL junction, which would encourage recombination (<xref ref-type="bibr" rid="B42">Qaid et al., 2024</xref>). Thus, it is essential to take into account materials with a slightly negative or zero CBO in order for optimal band alignment and ultimately improve the device&#x2019;s performance (<xref ref-type="bibr" rid="B42">Qaid et al., 2024</xref>) (<xref ref-type="bibr" rid="B5">Chabri et al., 2023</xref>). SnS<sub>2</sub> and IGZO perform marginally worse than ZnO in our investigation due to their larger negative CBO. Consequently, ZnO exhibits better performance than other ETLs. Due of ZnO&#x2019;s 3.3 eV band gap, its light transmittance is higher than that of other ETLs. A larger band gap increases the creation of electron-hole pairs by letting more light into the absorber layer. ZnO as ETL exhibits a moderate CBO of &#x2b;0.1 eV with ZnSnN<sub>2</sub>, forming a gentle spike that maintains favorable electron transport while preventing backflow (<xref ref-type="bibr" rid="B23">Khan et al., 2023</xref>). As a result, the ZnO material has been chosen as the ETL in the PVC design because to its superior electrical performance.</p>
</sec>
<sec id="s3-2">
<title>3.2 Identifying the proper HTL</title>
<p>PVCs device efficiency is influenced by the HTL, which blocks electrons, lowers the electron-hole recombination rate, and facilitates hole migration from the MASnBr<sub>3</sub>/ZnSnN<sub>2</sub> (absorber) layers to the back contact layer. A suitable bandgap, positive charge carrier mobility, ideal thickness, and an ideal doping charge concentration are all requirements for the HTL (<xref ref-type="bibr" rid="B48">Saikia et al., 2022</xref>). In this section, we use multiple hole transport layers (NiO, MoO<sub>3</sub>, Cu<sub>2</sub>O, CZTS, CuI, P3H, and Sprio-OMeTAD) to replicate the solar device efficiency in the original device configuration FTO/TiO<sub>2</sub>/MASnBr<sub>3</sub>/ZnSnN<sub>2</sub>/HTL/Au. The energy band structure of HTLs is shown in <xref ref-type="fig" rid="F3">Figure 3</xref>. ZnO was initially kept as the ETL, but the HTLs were changed in order to evaluate the PVSC device&#x2019;s electrical properties.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>For different HTLs: <bold>(a)</bold> PV performance metrics, <bold>(b)</bold> energy band alignment for the MASnBr<sub>3</sub>/ZnSnN<sub>2</sub> double-absorber structure.</p>
</caption>
<graphic xlink:href="fmats-12-1652733-g003.tif">
<alt-text content-type="machine-generated">Graph (a) shows bar charts comparing Voc, Jsc, FF, and PCE values for various materials like CNTS, NiO, MoO3, Cu2O, and others. Graph (b) displays the energy level diagrams in electron volts (eV) for different semiconductors and interfaces, indicating electron flow and HTLs with materials like FTO, ZnO, and Cu2O.</alt-text>
</graphic>
</fig>
<p>The typical features of several HTLs are shown in <xref ref-type="table" rid="T5">Table 5</xref>, whereas <xref ref-type="table" rid="T6">Table 6</xref> shows the PVSC performance parameters for various HTLs together with the associated VBO.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Lists the necessary input parameters for various HTLs.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Material property</th>
<th align="center">Spiro</th>
<th align="center">P<sub>3</sub>HT</th>
<th align="center">MoO<sub>3</sub>
</th>
<th align="center">CuI</th>
<th align="center">Cu<sub>2</sub>O</th>
<th align="center">NiO</th>
<th align="center">CZTSe</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">
<italic>t</italic> [nm]</td>
<td align="center">150</td>
<td align="center">150</td>
<td align="center">100</td>
<td align="center">150</td>
<td align="center">50</td>
<td align="center">200</td>
<td align="center">100</td>
</tr>
<tr>
<td align="center">
<italic>E</italic>.g., [eV]</td>
<td align="center">2.88</td>
<td align="center">1.7</td>
<td align="center">3</td>
<td align="center">2.98</td>
<td align="center">2.2</td>
<td align="center">3.6</td>
<td align="center">3</td>
</tr>
<tr>
<td align="center">
<italic>&#x3a7;</italic> [eV]</td>
<td align="center">2.05</td>
<td align="center">3.5</td>
<td align="center">2.3</td>
<td align="center">2.1</td>
<td align="center">3.4</td>
<td align="center">1.8</td>
<td align="center">2.3</td>
</tr>
<tr>
<td align="center">
<italic>&#x3f5;</italic>
<sub>r</sub>
</td>
<td align="center">3.0</td>
<td align="center">3</td>
<td align="center">18</td>
<td align="center">6.5</td>
<td align="center">7.5</td>
<td align="center">11.7</td>
<td align="center">18</td>
</tr>
<tr>
<td align="center">
<italic>N</italic>
<sub>C</sub> (1 cm<sup>-3</sup>)</td>
<td align="center">2.5 &#xd7; 10<sup>20</sup>
</td>
<td align="center">2 &#xd7; 10<sup>21</sup>
</td>
<td align="center">1 &#xd7; 10<sup>19</sup>
</td>
<td align="center">2.8 &#xd7; 10<sup>19</sup>
</td>
<td align="center">2 &#xd7; 10<sup>19</sup>
</td>
<td align="center">2.5 &#xd7; 10<sup>20</sup>
</td>
<td align="center">1 &#xd7; 10<sup>19</sup>
</td>
</tr>
<tr>
<td align="center">
<italic>N</italic>
<sub>V</sub> (1 cm<sup>-3</sup>)</td>
<td align="center">2.5 &#xd7; 10<sup>20</sup>
</td>
<td align="center">2 &#xd7; 10<sup>21</sup>
</td>
<td align="center">2.2 &#xd7; 10<sup>18</sup>
</td>
<td align="center">1.1 &#xd7; 10<sup>19</sup>
</td>
<td align="center">1 &#xd7; 10<sup>19</sup>
</td>
<td align="center">1.1 &#xd7; 10<sup>19</sup>
</td>
<td align="center">2.2 &#xd7; 10<sup>18</sup>
</td>
</tr>
<tr>
<td align="center">&#x3bc;<sub>n</sub> (cm<sup>2</sup> V s<sup>-1</sup>)</td>
<td align="center">2.1 &#xd7; 10<sup>&#x2212;3</sup>
</td>
<td align="center">1.8 &#xd7; 10<sup>&#x2212;3</sup>
</td>
<td align="center">210</td>
<td align="center">100</td>
<td align="center">200</td>
<td align="center">28</td>
<td align="center">210</td>
</tr>
<tr>
<td align="center">&#x3bc;<sub>h</sub> (cm<sup>2</sup> V s<sup>-1</sup>)</td>
<td align="center">2.6 &#xd7; 10<sup>&#x2212;3</sup>
</td>
<td align="center">1.86 &#xd7; 10<sup>&#x2212;2</sup>
</td>
<td align="center">210</td>
<td align="center">43.9</td>
<td align="center">8,600</td>
<td align="center">28</td>
<td align="center">210</td>
</tr>
<tr>
<td align="center">
<italic>N</italic>
<sub>D</sub> (1 cm<sup>-3</sup>)</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
</tr>
<tr>
<td align="center">
<italic>N</italic>
<sub>A</sub> (1 cm<sup>-3</sup>)</td>
<td align="center">1 &#xd7; 10<sup>18</sup>
</td>
<td align="center">1 &#xd7; 10<sup>18</sup>
</td>
<td align="center">1 &#xd7; 10<sup>18</sup>
</td>
<td align="center">2 &#xd7; 10<sup>19</sup>
</td>
<td align="center">1 &#xd7; 10<sup>18</sup>
</td>
<td align="center">3 &#xd7; 10<sup>18</sup>
</td>
<td align="center">1 &#xd7; 10<sup>18</sup>
</td>
</tr>
<tr>
<td align="center">
<italic>N</italic>
<sub>
<italic>T</italic>
</sub> (cm<sup>-3</sup>)</td>
<td align="center">1 &#xd7; 10<sup>15</sup>
</td>
<td align="center">1 &#xd7; 10<sup>14</sup>
</td>
<td align="center">1 &#xd7; 10<sup>15</sup>
</td>
<td align="center">1 &#xd7; 10<sup>15</sup>
</td>
<td align="center">1 &#xd7; 10<sup>15</sup>
</td>
<td align="center">1 &#xd7; 10<sup>14</sup>
</td>
<td align="center">1 &#xd7; 10<sup>15</sup>
</td>
</tr>
<tr>
<td align="center">References</td>
<td align="center">
<xref ref-type="bibr" rid="B35">Mushtaq et al. (2023a)</xref>
</td>
<td align="center">
<xref ref-type="bibr" rid="B45">Raoui et al. (2019)</xref>
</td>
<td align="center">
<xref ref-type="bibr" rid="B50">Shamna and Sudheer (2022)</xref>
</td>
<td align="center">
<xref ref-type="bibr" rid="B35">Mushtaq et al. (2023a)</xref>
</td>
<td align="center">
<xref ref-type="bibr" rid="B11">Hossain et al. (2022)</xref>
</td>
<td align="center">
<xref ref-type="bibr" rid="B35">Mushtaq et al. (2023a)</xref>
</td>
<td align="center">
<xref ref-type="bibr" rid="B50">Shamna and Sudheer (2022)</xref>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Shows the PVSC&#x2019;s performance for various HTLs using ZnO as the ETL.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">HTL</th>
<th align="center">VBO</th>
<th align="center">V<sub>OC</sub>
</th>
<th align="center">J<sub>SC</sub>
</th>
<th align="center">FF</th>
<th align="center">PCE</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">CNTS</td>
<td align="center">0.05</td>
<td align="center">1.099</td>
<td align="center">32.888</td>
<td align="center">84.394</td>
<td align="center">30.502</td>
</tr>
<tr>
<td align="center">NiO</td>
<td align="center">&#x2212;0.07</td>
<td align="center">1.098</td>
<td align="center">32.846</td>
<td align="center">84.286</td>
<td align="center">30.405</td>
</tr>
<tr>
<td align="center">MoO<sub>3</sub>
</td>
<td align="center">&#x2212;0.17</td>
<td align="center">1.098</td>
<td align="center">32.781</td>
<td align="center">84.329</td>
<td align="center">30.345</td>
</tr>
<tr>
<td align="center">Cu<sub>2</sub>O</td>
<td align="center">0.13</td>
<td align="center">1.096</td>
<td align="center">32.809</td>
<td align="center">84.268</td>
<td align="center">30.302</td>
</tr>
<tr>
<td align="center">CZTSe</td>
<td align="center">&#x2212;0.17</td>
<td align="center">1.043</td>
<td align="center">32.539</td>
<td align="center">85.166</td>
<td align="center">28.906</td>
</tr>
<tr>
<td align="center">CuI</td>
<td align="center">&#x2212;0.39</td>
<td align="center">1.028</td>
<td align="center">31.882</td>
<td align="center">81.173</td>
<td align="center">26.600</td>
</tr>
<tr>
<td align="center">P3HT</td>
<td align="center">&#x2212;0.27</td>
<td align="center">1.017</td>
<td align="center">31.498</td>
<td align="center">78.310</td>
<td align="center">25.096</td>
</tr>
<tr>
<td align="center">Spiro</td>
<td align="center">&#x2212;0.54</td>
<td align="center">0.824</td>
<td align="center">31.034</td>
<td align="center">73.361</td>
<td align="center">18.754</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The VBOs for different HTLs are calculated using the following <xref ref-type="disp-formula" rid="e11">Equation 11</xref> (<xref ref-type="bibr" rid="B42">Qaid et al., 2024</xref>) as:<disp-formula id="e11">
<mml:math id="m13">
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:mi>B</mml:mi>
<mml:mi>O</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>H</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>a</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>
</p>
<p>The symbols <inline-formula id="inf3">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf4">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> in the equation represent the electron affinities of the HTL and the MASnBr<sub>3</sub> absorbers, respectively. Furthermore, the bandgaps of the absorber layer and the HTL are expressed as <inline-formula id="inf5">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>H</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf6">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>a</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> respectively.</p>
<p>
<xref ref-type="table" rid="T6">Table 6</xref> shows that CNTS is more effective than other HTLs. The CNTS HTL provides the highest PCE (30.50%) among the PVC layers, however the Spiro-OMeTED layer has the lowest PCE (18.75%). CNTS was chosen as the HTL based on its excellent energy level alignment with MASnBr<sub>3</sub>, exhibiting a VBO of &#x2b;0.05 eV, which enables efficient hole extraction while minimizing recombination (<xref ref-type="bibr" rid="B26">Kumar et al., 2024</xref>). On the other hand, a tiny negative spike value increases the device&#x2019;s PCE by lowering photon recombination at the junction interface. A significant negative VBO value may be an impediment to the passage of holes from the active layer to the HTL in the case of P3HT and Spiro-OMeTAD HTLs, which lowers the PCE of the PVSC. Out of all the HTL&#x2019;s, the CNTS material had the highest values for J<sub>SC</sub>, V<sub>OC</sub>, and FF, measuring 32.88 mA/cm2, 1.09 V, and 84.39%, respectively. The CNTS is a promising option for the hole transport layer in perovskite solar cells because to its border bandgap energy of 1.74 eV (<xref ref-type="bibr" rid="B23">Khan et al., 2023</xref>). CNTSs have a variety of produced procedures, such as dip-coating from molecular ink, electrodeposition (<xref ref-type="bibr" rid="B18">Jariwala et al., 2018</xref>), (<xref ref-type="bibr" rid="B57">Patil et al., 2024</xref>), direct-coating from nanoparticle inks (<xref ref-type="bibr" rid="B17">Jariwala et al., 2017</xref>), (<xref ref-type="bibr" rid="B47">Rondiya et al., 2017</xref>), and the sol-gel approach (<xref ref-type="bibr" rid="B10">Ghosh et al., 2016</xref>). Together, CNTS&#x2019;s favorable energy levels, earth-abundant composition, chemical stability, high hole mobility, easy synthesis, tunable properties, and reduced environmental impact (lead-free) suggest that it could help improve the sustainability and performance of PVSCs technologies (<xref ref-type="bibr" rid="B55">Uddin et al., 2024</xref>). Consequently, the CNTS material has been chosen as the HTL in our PVC design following an assessment of the electrical performance.</p>
</sec>
<sec id="s3-3">
<title>3.3 Determining the proper ETL thickness and donor doping concentration</title>
<p>Once the appropriate HTL for PVC was determined, we adjusted the ZnO ETL&#x2019;s depth between 10 and 50 nm to examine its impact on PVC efficiency. Additionally, the donor concentration (N<sub>D</sub>) of the ETL is varied between 10<sup>14</sup> cm<sup>&#x2212;3</sup> and 10<sup>20</sup> cm<sup>&#x2212;3</sup>, and the PVSC efficiency is calculated in order to examine the impact of the doping charge density on the PVSC efficiency. The performance of PVSC with respect to the thickness and N<sub>D</sub> of the ETL is depicted in <xref ref-type="fig" rid="F4">Figure 4</xref>.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Effect of thickness and donor density on ETL performance: <bold>(a)</bold> PCE, <bold>(b)</bold> V<sub>OC,</sub> <bold>(c)</bold> J<sub>SC</sub>, and <bold>(d)</bold> FF.</p>
</caption>
<graphic xlink:href="fmats-12-1652733-g004.tif">
<alt-text content-type="machine-generated">Four contour plots analyze the effect of ETL thickness and donor density on photovoltaic parameters. Plot (a) shows power conversion efficiency (PCE) in percent, ranging from 30.72 to 30.78. Plot (b) illustrates open-circuit voltage (V_OC) in volts, ranging from 1.13411 to 1.13423. Plot (c) depicts short-circuit current density (J_SC) in milliampere per square centimeter, ranging from 32.81 to 32.90. Plot (d) represents fill factor (FF) in percent, ranging from 82.48 to 82.57. Each plot uses color gradients from blue to red to represent data variations.</alt-text>
</graphic>
</fig>
<p>The ETL&#x2019;s thickness affects the charge transport&#x2019;s velocity and efficiency. An optimal ETL thickness ensures efficient charge collection, increasing photo-generated current and overall device efficiency. A broad ETL acts as a barrier, preventing or lessening charge carrier recombination inside the active absorber material. Furthermore, the effectiveness of PVSC is significantly impacted by the electron carrier level in the ETL. On the other hand, a deeper ETL may absorb more incident photons, which could reduce the amount of light that reaches the photoactive perovskite layer. Conversely, a thin ETL might make it more likely that charge carriers will recombine inside the photoactive layer or at the ETL-perovskite interface. The efficient transfer of electrons to the electrode may be hampered by an inadequately thick ETL layer, which would lower device performance (<xref ref-type="bibr" rid="B5">Chabri et al., 2023</xref>). The device&#x2019;s PCE first increases from roughly 30.72% to roughly 30.77% until the thickness reaches 30 nm, as seen in <xref ref-type="fig" rid="F4">Figure 4</xref>. Additionally, thicker ETL causes FF and V<sub>OC</sub> to rise and then stabilize. But as thickness increases, J<sub>SC</sub> decreases. As a result, the ETL&#x2019;s ideal thickness, taking into account all factors, is 30 nm.</p>
<p>On the other hand, as seen in <xref ref-type="fig" rid="F6">Figure 6</xref>, the N<sub>D</sub> is increased to 10<sup>19</sup> cm<sup>&#x2212;3</sup>, and the PVSC device characteristics&#x2019; FF and PCE exhibit a notable increase followed by a decline. Conversely, J<sub>SC</sub> increases until N<sub>D</sub> reaches 10<sup>19</sup> cm<sup>&#x2212;3</sup>, beyond which it decreases. When the N<sub>D</sub> of ETL is raised to 10<sup>20</sup> cm<sup>&#x2212;3</sup>, the PVSC device properties show a significant decrease. Additionally, as the N<sub>D</sub> rises, V<sub>OC</sub> gradually decreases. The relationship between the increase in doping density and the concomitant rise in the ETL&#x2019;s internal electric field is responsible for the growth in device PCE. This ultimately results in improved conductivity and charge transport motion (<xref ref-type="bibr" rid="B42">Qaid et al., 2024</xref>). However, too much doping results in the formation of Coulomb traps, which lowers electron mobility (<xref ref-type="bibr" rid="B42">Qaid et al., 2024</xref>). Therefore, for upcoming simulations, we will maintain the ETL&#x2019;s ideal N<sub>D</sub> at 10<sup>19</sup> cm<sup>&#x2212;3</sup>.</p>
</sec>
<sec id="s3-4">
<title>3.4 Determining the proper HTL thickness and doping concentration</title>
<p>Since CNTS performs better than the other HTLs previously described, we have chosen it as an HTL. We are presently optimizing the CNTS layer thickness by altering it between 0.1 and 0.5 &#x3bc;m. Additionally, The HTL layers have a significant impact on the PVSC device&#x2019;s efficacy in respect to acceptor concentration (N<sub>A</sub>). To investigate the effect of HTL, N<sub>A</sub> on PVSC device efficiency, we measured the PVSC device&#x2019;s efficiency by altering the HTL layer&#x2019;s N<sub>A</sub> between 10<sup>14</sup> cm<sup>&#x2212;3</sup> and 10<sup>20</sup> cm<sup>&#x2212;3</sup>. Note that we do not alter any other materials, i.e., ZnO is utilized as the ETL and no interfacial layer is applied. <xref ref-type="fig" rid="F5">Figure 5</xref> shows how well the PVSC performs for varying N<sub>A</sub> and HTL (CNTS) thicknesses.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Effect of thickness and acceptor density on HTL performance: <bold>(a)</bold> PCE, <bold>(b)</bold> V<sub>OC,</sub> <bold>(c)</bold> J<sub>SC</sub>, and <bold>(d)</bold> FF.</p>
</caption>
<graphic xlink:href="fmats-12-1652733-g005.tif">
<alt-text content-type="machine-generated">Four contour plots display the performance metrics of a material based on HTL thickness and acceptor density. Plot (a) shows PCE (%) ranging from 35.84 to 35.88. Plot (b) illustrates Voc (V) ranging from 1.17064 to 1.17160. Plot (c) presents Jsc (mA/cm&#xB2;) from 34.39 to 34.40. Plot (d) shows FF (%) from 88.97 to 89.02. Each plot varies in color from red to blue, indicating different values.</alt-text>
</graphic>
</fig>
<p>It is evident from the graph that the variation in HTL thickness has minimal impact on our PVSC&#x2019;s performance characteristics, specifically FF, J<sub>SC</sub>, V<sub>OC</sub>, and PCE. This is due to the fact that the depth of the HTL layer does not directly affect the VBO at the intersection of the perovskite layer film and the nearby HTL layer (<xref ref-type="bibr" rid="B42">Qaid et al., 2024</xref>). The energy levels of the materials in concern and the interface&#x2019;s characteristics have the biggest effects on the VBO. However, longer lengths for holes to traverse from the perovskite layer to the interface may arise from a thicker HTL. Despite its potential advantages for charge transfer, excessive thickness might result in slower charge carriers, more resistive losses, and worse overall device efficiency. It may also increase the probability of charge carrier recombination. The quantity of photocurrent generated by the perovskite layer to the interface decreases as a result of holes&#x2019; increased propensity to recombine with electrons in the layer as they pass through a dense HTL. Despite its potential advantages for charge transfer, excessive thickness might result in slower charge carriers, more resistive losses, and worse overall device efficiency (<xref ref-type="bibr" rid="B42">Qaid et al., 2024</xref>). As a result, 0.5 &#x3bc;m has been chosen as the HTL&#x2019;s thickness. On the other hand, As the N<sub>A</sub> is raised to 10<sup>20</sup> cm<sup>&#x2212;3</sup>, the PVSC device&#x2019;s properties FF, J<sub>SC</sub>, V<sub>OC</sub>, and PCE show a discernible increase. The performance parameters of the PVSC gadget rapidly rise with increasing HTL doping concentration. The relationship between the rise in the electric field inside the HTL and the increase in doping charge concentration is responsible for the improvement in the device&#x2019;s performance. As a result, conductivity and carrier transport velocity both rise (<xref ref-type="bibr" rid="B13">Haneef et al., 2024b</xref>). Therefore, we maintain the N<sub>A</sub> of the HTL at 10<sup>20</sup> cm<sup>&#x2212;3</sup> for the simulations that follow.</p>
</sec>
<sec id="s3-5">
<title>3.5 Assessment of the suitable thickness of both active absorber layers</title>
<p>To optimize the thickness of the dual absorber layers MASnBr<sub>3</sub> and ZnSnN<sub>2</sub> a contour mapping approach was employed as illustrated in <xref ref-type="fig" rid="F6">Figure 6</xref>. The performance parameters analyzed include PCE, V<sub>OC</sub>, J<sub>SC</sub>, and FF. <xref ref-type="fig" rid="F6">Figure 6a</xref> shows that as the thicknesses of both MASnBr<sub>3</sub> and ZnSnN<sub>2</sub> increase, PCE also increases significantly, ranging from approximately 19% to over 31%. A similar trend is observed in J<sub>SC</sub> from <xref ref-type="fig" rid="F6">Figure 6c</xref>, with values increasing up to 34.90 mA/cm<sup>2</sup>, indicating enhanced light absorption and carrier generation with thicker absorbers. On the other hand, <xref ref-type="fig" rid="F6">Figure 6b</xref> illustrates that V<sub>OC</sub> reaches its peak of around 1.2 V at lower MASnBr<sub>3</sub> thicknesses (&#x3c;0.2 &#xb5;m), but the variation across the range is minimal (1.10&#x2013;1.21 V), and thus not critical in this optimization. <xref ref-type="fig" rid="F6">Figure 6d</xref> reveals that FF is slightly higher at lower absorber thicknesses, varying from 80.48% to 84.42%. Despite the inverse behavior of FF with thickness, the overall efficiency gain justifies the selection of a thicker configuration. Therefore, the optimum thicknesses are chosen as MASnBr<sub>3</sub> &#x3d; 0.8 &#xb5;m and ZnSnN<sub>2</sub> &#x3d; 0.1 &#xb5;m. At this configuration, the corresponding performance metrics are V<sub>OC</sub> &#x3d; 1.1135 V, J<sub>SC</sub> &#x3d; 34.43 mA/cm<sup>2</sup>, FF &#x3d; 81.79%, and PCE &#x3d; 31.35%, demonstrating a balanced and efficient design for further device optimization.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Effect of absorbers layer thickness on PVSC performance parameters: <bold>(a)</bold> PCE, <bold>(b)</bold> V<sub>OC</sub>, <bold>(c)</bold> J<sub>SC</sub>, and <bold>(d)</bold> FF.</p>
</caption>
<graphic xlink:href="fmats-12-1652733-g006.tif">
<alt-text content-type="machine-generated">Four contour plots showing the interaction between ZnSnN&#x2082; and MASnBr&#x2083; thicknesses. Plot (a) depicts power conversion efficiency (PCE) in percentage, varying from green to red. Plot (b) shows open-circuit voltage (VOC) in volts, transitioning from blue to red. Plot (c) illustrates short-circuit current density (Jsc) in milliamps per square centimeter, shown from blue to red. Plot (d) presents fill factor (FF) in percentage, changing from blue to red. Each plot includes a color scale indicating levels of measured values.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-6">
<title>3.6 Analysis of both active absorber layers&#x2019; appropriate carrier concentrations</title>
<p>The effect of acceptor density variation in both MASnBr<sub>3</sub> and ZnSnN<sub>2</sub> absorber layers on the performance of the solar cell was analyzed using contour plots, as shown in <xref ref-type="fig" rid="F7">Figure 7</xref>. <xref ref-type="fig" rid="F7">Figure 7a</xref> indicates that increasing the acceptor density of MASnBr<sub>3</sub> significantly enhances PCE, while variation in ZnSnN<sub>2</sub> acceptor density has a relatively minor effect. The highest efficiency is observed at lower ZnSnN<sub>2</sub> acceptor density levels. This improvement in PCE with higher MASnBr<sub>3</sub> doping can be attributed to the enhancement of built-in electric field strength, which improves charge carrier separation and reduces recombination losses. A similar trend is observed in the variation of V<sub>OC</sub> and FF, as shown in <xref ref-type="fig" rid="F7">Figures 7b,d</xref>, where higher MASnBr<sub>3</sub> acceptor density results in consistent performance gains. <xref ref-type="fig" rid="F6">Figure 6c</xref> also confirms that high J<sub>SC</sub> values are obtained under these optimized conditions. Based on these findings, the optimal acceptor densities were selected as MASnBr<sub>3</sub> &#x3d; 1 &#xd7; 10<sup>18</sup> cm<sup>-3</sup> and ZnSnN<sub>2</sub> &#x3d; 1 &#xd7; 10<sup>13</sup> cm<sup>-3</sup>. At this configuration, the device achieved a V<sub>OC</sub> of 1.1716 V, a J<sub>SC</sub> of 34.39 mA/cm<sup>2</sup>, an FF of 89.02%, and a PCE of 35.87%, confirming a substantial improvement in overall solar cell performance under these doping conditions.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Effect of absorbers acceptor density on PVSC performance parameters <bold>(a)</bold> PCE, <bold>(b)</bold> V<sub>OC,</sub> <bold>(c)</bold> J<sub>SC,</sub> and <bold>(d)</bold> FF.</p>
</caption>
<graphic xlink:href="fmats-12-1652733-g007.tif">
<alt-text content-type="machine-generated">Four contour plots display the effects of ZnSnN&#x2082; and MASnBr&#x2083; densities on solar cell parameters. (a) Power conversion efficiency increases with higher densities. (b) Open-circuit voltage shows minimal variation. (c) Short-circuit current density reaches its maximum at high MASnBr&#x2083; densities. (d) Fill factor rises with increasing densities. Each plot includes a color gradient legend.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-7">
<title>3.7 Examination of absorber defect density</title>
<p>The influence of total defect density in the absorber layers MASnBr<sub>3</sub> and ZnSnN<sub>2</sub> was examined by varying their respective values from 1 &#xd7; 10<sup>13</sup> cm<sup>-3</sup> to 1 &#xd7; 10<sup>18</sup> cm<sup>-3</sup>, as presented in <xref ref-type="fig" rid="F8">Figure 8</xref>. <xref ref-type="fig" rid="F8">Figure 8a</xref> depicts the effect of MASnBr<sub>3</sub> defect density on device performance. As the defect density increases, a pronounced decline in all key parameters PCE, V<sub>OC</sub>, J<sub>SC</sub>, and FF is observed. Specifically, PCE drops steeply from 35.88% at 1 &#xd7; 10<sup>13</sup> cm<sup>-3</sup> to just 11.63% at 1 &#xd7; 10<sup>18</sup> cm<sup>-3</sup>. This degradation is primarily attributed to enhanced non-radiative recombination pathways that arise from the increased density of trap states, severely limiting charge carrier lifetimes (<xref ref-type="bibr" rid="B9">Eperon G. E. et al., 2014</xref>). In contrast, <xref ref-type="fig" rid="F8">Figure 8b</xref> shows the effect of ZnSnN<sub>2</sub> defect density. While all parameters exhibit a downward trend, the decline is less severe compared to MASnBr<sub>3</sub>. The PCE decreases from 35.94% at 1 &#xd7; 10<sup>13</sup> cm<sup>-3</sup>&#x2013;25.30% at 1 &#xd7; 10<sup>18</sup> cm<sup>-3</sup>. Notably, J<sub>SC</sub> remains relatively stable across the range, indicating that light absorption and charge generation are less sensitive to defect density in the ZnSnN<sub>2</sub> layer, although increased recombination still impacts V<sub>OC</sub> and FF. In our study, we have employed a defect density of 1 &#xd7; 10<sup>13</sup> cm<sup>-3</sup> for MASnBr<sub>3</sub> and 1 &#xd7; 10<sup>14</sup> cm<sup>-3</sup> for ZnSnN<sub>2</sub>. At these conditions, the device maintains strong PV performance with a V<sub>OC</sub> of 1.1716 V, a J<sub>SC</sub> of 34.39 mA/cm<sup>2</sup>, an FF of 89.02%, and a PCE of 35.87%.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Analysis of absorbers defect density on PV performance parameters: <bold>(a)</bold> MASnBr<sub>3</sub> <bold>(b)</bold> ZnSnN<sub>2</sub>.</p>
</caption>
<graphic xlink:href="fmats-12-1652733-g008.tif">
<alt-text content-type="machine-generated">Graphs compare solar cell performance metrics versus total defect density for two materials, MASnBr3 (left) and ZnSnN2 (right). Metrics include fill factor (FF), short-circuit current density (Jsc), open-circuit voltage (Voc), and power conversion efficiency (PCE). MASnBr3 shows a general decline across metrics with increasing defect density, while ZnSnN2 exhibits less variation.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-8">
<title>3.8 Examination of the impact of resistance on PV measurements</title>
<p>The impact of series resistance R<sub>S</sub> and shunt resistance R<sub>Sh</sub> on the PV performance of the dual-absorber solar cell was examined, as illustrated in <xref ref-type="fig" rid="F9">Figure 9</xref>. The values of R<sub>S</sub> were varied from 0 to 6 &#x3a9; cm<sup>-2</sup>, while R<sub>Sh</sub> was swept from 10 to 10<sup>6</sup> &#x3a9; cm<sup>-2</sup>. An increase in R<sub>S</sub> shows a clear detrimental effect on all performance metrics. PCE drops from 35.99% at R<sub>S</sub> &#x3d; 0 &#x3a9; cm<sup>-2</sup>&#x2013;29.30% at R<sub>S</sub> &#x3d; 6 &#x3a9; cm<sup>-2</sup>. This decline is driven primarily by the drop in FF, while J<sub>SC</sub> and V<sub>OC</sub> remain largely unchanged. In contrast, increasing R<sub>Sh</sub> significantly improves device performance. At low R<sub>Sh</sub> &#x3d; 10 &#x3a9; cm<sup>-2</sup>, the device shows poor metrics with PCE &#x3d; 2.93%, V<sub>OC</sub> &#x3d; 0.344 V, and FF &#x3d; 25.00%. As R<sub>Sh</sub> increases, leakage currents are suppressed, leading to a rapid enhancement in all parameters. At R<sub>Sh</sub> &#x2265; 10<sup>5</sup> &#x3a9; cm<sup>-2</sup>, performance saturates. According to previous studies (<xref ref-type="bibr" rid="B22">Karthick et al., 2020</xref>), maintaining a low series resistance is crucial to minimize internal power losses and ensure efficient power transfer to the external load. Meanwhile, a high shunt resistance is necessary to suppress leakage currents and uphold high V<sub>OC</sub> and FF (<xref ref-type="bibr" rid="B22">Karthick et al., 2020</xref>). In alignment with these insights and supported by other simulation-based investigations (<xref ref-type="bibr" rid="B54">Sunny et al., 2021</xref>), we selected a realistic R<sub>S</sub> of 0.1 &#x3a9; cm<sup>-2</sup> and R<sub>Sh</sub> of 1 &#xd7; 10<sup>6</sup> &#x3a9; cm<sup>-2</sup> in our simulations to emulate practical conditions and optimize device efficiency.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Analysis of resistance effect on PV metrics: <bold>(a)</bold> R<sub>S</sub> <bold>(b)</bold> R<sub>Sh</sub>.</p>
</caption>
<graphic xlink:href="fmats-12-1652733-g009.tif">
<alt-text content-type="machine-generated">Graphs comparing solar cell parameters. In (a), the fill factor (FF) and power conversion efficiency (PCE) decrease with increasing series resistance (R&#x209B;), while short circuit current density (J&#x209B;c) and open circuit voltage (V&#x2092;c) remain stable. In (b), FF, J&#x209B;c, and PCE increase, and V&#x2092;c stabilizes with increasing shunt resistance (Rsh).</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-9">
<title>3.9 Influence of temperature on solar cell performance</title>
<p>The influence of temperature on the performance of the dual-absorber solar cell was examined over a range from 300 K to 440 K, as shown in <xref ref-type="fig" rid="F10">Figure 10</xref>. <xref ref-type="fig" rid="F10">Figure 10a</xref> presents the variation of key PV parameters PCE, V<sub>OC</sub>, J<sub>SC</sub>, and FF with temperature. As temperature increases, a notable decline in both V<sub>OC</sub> and FF is observed, leading to a corresponding reduction in PCE. Specifically, efficiency drops from 35.88% at 300 K to 30.57% at 440 K. The decline in V<sub>OC</sub> with increasing temperature is attributed to the enhanced intrinsic carrier concentration and increased recombination activity at higher temperatures, which reduces the quasi-Fermi level splitting. Similarly, FF degrades due to elevated series resistance and reduced built-in electric field strength. In contrast, J<sub>SC</sub> remains relatively stable throughout the temperature range, indicating that photogeneration is not significantly affected. <xref ref-type="fig" rid="F10">Figure 10b</xref> further confirms this trend through the J&#x2013;V characteristics at various temperatures, where the FF and V<sub>OC</sub> both diminish as temperature rises. This inverse relationship between temperature and solar cell performance is well-documented in literature, where it has been shown that elevated temperatures adversely affect charge carrier recombination and material interface stability (&#x201d;31. Numerical simulation on an).</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>
<bold>(a)</bold> Temperature effect on solar cell performance <bold>(b)</bold> JV curve at different temperatures.</p>
</caption>
<graphic xlink:href="fmats-12-1652733-g010.tif">
<alt-text content-type="machine-generated">Graph (a) shows the variation of power conversion efficiency (PCE), open-circuit voltage (V_OC), short-circuit current density (J_SC), and fill factor (FF) with temperature from 300 K to 440 K. PCE and V_OC decrease, while J_SC remains constant. Graph (b) illustrates current density versus voltage for temperatures ranging from 300 K to 440 K, showing increasing curves with temperature.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-10">
<title>3.10 Quantum efficiency and device optimization</title>
<p>
<xref ref-type="fig" rid="F11">Figure 11a</xref> shows the quantum efficiency (QE) graph of the solar cell. The device exhibits excellent spectral response, maintaining nearly 100% QE in the visible range, indicating efficient light harvesting and charge collection throughout the working wavelength range. The QE declines at higher wavelengths beyond 850 nm, consistent with the optical absorption limits of the absorber materials. <xref ref-type="fig" rid="F11">Figure 11b</xref> presents the current voltage (J&#x2013;V) characteristics before and after optimization. Initially, based on the calculated IV-curve, the solar cell exhibited the following performance: V<sub>OC</sub> &#x3d; 1.0974 V, J<sub>SC</sub> &#x3d; 32.70 mA/cm<sup>2</sup>, FF &#x3d; 83.86%, and PCE &#x3d; 30.10%. To improve performance, a step-by-step optimization procedure was employed. Initially, the ETL and HTL were selected based on favorable band alignment and their contribution to the overall device metrics. In this process, ZnO was selected as the ETL and CNTS as the HTL due to their suitable energy levels and compatibility. Following the material selection, the thicknesses of the ETL, HTL, and both absorber layers (ZnSnN<sub>2</sub> and MASnBr<sub>3</sub>) were optimized. The optimum ETL thickness was determined to be 30 nm, and the donor density of ZnO was set to 1 &#xd7; 10<sup>19</sup> cm<sup>-3</sup>. The MASnBr<sub>3</sub> absorber thickness was optimized to 0.8 &#xb5;m and its acceptor density to 1 &#xd7; 10<sup>18</sup> cm<sup>-3</sup>. For the ZnSnN<sub>2</sub> absorber, a thickness of 0.1 &#xb5;m and acceptor density of 1 &#xd7; 10<sup>13</sup> cm<sup>-3</sup> were found to be optimal. The HTL thickness was adjusted to 500 nm, with an optimized acceptor density of 1 &#xd7; 10<sup>20</sup> cm<sup>-3</sup>. After completing these optimizations, the solar cell demonstrated significant improvements across all performance indicators. The final device performance reached V<sub>OC</sub> &#x3d; 1.1716 V, J<sub>SC</sub> &#x3d; 34.40 mA/cm<sup>2</sup>, FF &#x3d; 89.02%, and a PCE of 35.88%, confirming the effectiveness of the comprehensive optimization strategy and material selections in achieving a high-efficiency dual-absorber solar cell.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>
<bold>(a)</bold> Quantum Efficiency and <bold>(b)</bold> device optimization analysis of MASnBr<sub>3</sub>/ZnSnN<sub>2</sub> based PVSCs.</p>
</caption>
<graphic xlink:href="fmats-12-1652733-g011.tif">
<alt-text content-type="machine-generated">Chart (a) shows quantum efficiency versus wavelength, maintaining around 100% from 400 to 900 nanometers, then dropping sharply at 1000 nanometers. Chart (b) shows current density versus voltage before and after optimization. The optimized curve (red) shows improved performance over the unoptimized curve (black) at voltages above 0.9 volts.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-11">
<title>3.11 The performance metrics of previously published publications on PVSCs are compared to our study</title>
<p>The search for high-efficiency and eco-friendly solar tech has led to extensive development of Pb-free perovskite and nitride-based absorbers. <xref ref-type="table" rid="T7">Table 7</xref> presents a detailed comparison of the PV performance of our proposed n-ZnO/p-MASnBr<sub>3</sub>/p-<sup>&#x2b;</sup>ZnSnN<sub>2</sub>/p-<sup>&#x2b;&#x2b;</sup>CNTS heterostructure with previously reported devices. Arca et al. (<xref ref-type="bibr" rid="B7">Arca et al., 2017</xref>) explored ZnSnN<sub>2</sub> based structures incorporating Mg:CuCrO<sub>2</sub> as HTL and achieved a PCE of 23.5%, limited by moderate Jsc. With improvements in absorber quality and interface tuning, Laidouci et al. (<xref ref-type="bibr" rid="B28">Laidouci et al., 2020</xref>) reported 22.32% efficiency using CuCrO<sub>2</sub> as HTL. In a subsequent study (<xref ref-type="bibr" rid="B29">Laidouci et al., 2023</xref>), integrating a Si BSF pushed the PCE to 29.5%.</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Comparison with other work.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Device structure</th>
<th align="center">Absorber</th>
<th align="center">HTL/BSF</th>
<th align="center">PCE (%)</th>
<th align="center">Jsc (mA/cm<sup>2</sup>)</th>
<th align="center">Voc (V)</th>
<th align="center">FF (%)</th>
<th align="center">Ref</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">ZTN/Mg:CuCrO<sub>2</sub>
</td>
<td align="center">ZnSnN<sub>2</sub>
</td>
<td align="center">Mg:CuCrO<sub>2</sub>
</td>
<td align="center">23.5</td>
<td align="center">24.1</td>
<td align="center">1.2</td>
<td align="center">82.7</td>
<td align="center">
<xref ref-type="bibr" rid="B7">Arca et al. (2017)</xref>
</td>
</tr>
<tr>
<td align="center">p-CuCrO<sub>2</sub>/n-ZnSnN<sub>2</sub>
</td>
<td align="center">ZnSnN<sub>2</sub>
</td>
<td align="center">CuCrO<sub>2</sub>
</td>
<td align="center">22.32</td>
<td align="center">23.71</td>
<td align="center">1.1833</td>
<td align="center">79.56</td>
<td align="center">
<xref ref-type="bibr" rid="B28">Laidouci et al. (2020)</xref>
</td>
</tr>
<tr>
<td align="center">ZnO:Al/CdS/ZnSnN<sub>2</sub>/Si/Mo</td>
<td align="center">ZnSnN<sub>2</sub>
</td>
<td align="center">Si (BSF)</td>
<td align="center">29.5</td>
<td align="center">25.50</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">
<xref ref-type="bibr" rid="B29">Laidouci et al. (2023)</xref>
</td>
</tr>
<tr>
<td align="center">FTO/SnO<sub>2</sub>/MASnBr<sub>3</sub>/NiO/Au</td>
<td align="center">MASnBr<sub>3</sub>
</td>
<td align="center">NiO</td>
<td align="center">34.52</td>
<td align="center">34.84</td>
<td align="center">1.1214</td>
<td align="center">88.30</td>
<td align="center">
<xref ref-type="bibr" rid="B36">Mushtaq et al. (2023b)</xref>
</td>
</tr>
<tr>
<td align="center">FTO/IIO<sub>2</sub>/MASnBr<sub>3</sub>/CuSbS<sub>2</sub>/Au</td>
<td align="center">MASnBr<sub>3</sub>
</td>
<td align="center">CuSbS<sub>2</sub>
</td>
<td align="center">26.01</td>
<td align="center">32.59</td>
<td align="center">0.90</td>
<td align="center">80.25</td>
<td align="center">
<xref ref-type="bibr" rid="B46">Rawat et al. (2024)</xref>
</td>
</tr>
<tr>
<td align="center">ZnO/3C&#x2013;SiC/MASnBr<sub>3</sub>/Graphene/CuO/Au</td>
<td align="center">MASnBr<sub>3</sub>
</td>
<td align="center">Graphene/CuO</td>
<td align="center">31.97</td>
<td align="center">32.54</td>
<td align="center">1.112</td>
<td align="center">89.38</td>
<td align="center">
<xref ref-type="bibr" rid="B13">Haneef et al. (2024b)</xref>
</td>
</tr>
<tr>
<td align="center">n-ZnO/p-ZnSnN<sub>2</sub>/p-<sup>&#x2b;</sup>MASnBr<sub>3</sub>/p-<sup>&#x2b;&#x2b;</sup>CNTS</td>
<td align="center">MASnBr<sub>3</sub> &#x2b; ZnSnN<sub>2</sub>
</td>
<td align="center">CNTS</td>
<td align="center">35.87</td>
<td align="center">34.39</td>
<td align="center">1.17</td>
<td align="center">89.01</td>
<td align="center">This Work</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Meanwhile, MASnBr<sub>3</sub> based devices have shown notable promise. Mushtaq et al. (<xref ref-type="bibr" rid="B12">Haneef et al., 2024a</xref>) demonstrated a planar FTO/SnO<sub>2</sub>/MASnBr<sub>3</sub>/NiO/Au stack with 34.52% PCE. Rawat et al. (<xref ref-type="bibr" rid="B46">Rawat et al., 2024</xref>) investigated temperature-dependent MASnBr<sub>3</sub> performance and achieved 26.01% using CuSbS<sub>2</sub> as HTL. Haneef et al. (<xref ref-type="bibr" rid="B13">Haneef et al., 2024b</xref>) introduced graphene and 3C&#x2013;SiC interface layers, reaching 31.97%.</p>
<p>In comparison, the dual-absorber structure proposed here combining MASnBr<sub>3</sub> and ZnSnN<sub>2</sub> achieved a PCE of 35.87%, outperforming all previous reports. The graded absorber strategy leverages the complementary bandgap of MASnBr<sub>3</sub> (1.3eV) and ZnSnN<sub>2</sub> (1.5 eV), enhancing carrier collection and reducing losses. Optimized thickness, doping, and defect further improved performance. This highlights the importance of absorber engineering and interface tuning for next-gen, high efficiency, Pb-free PVSCs.</p>
</sec>
<sec id="s3-12">
<title>3.12 Experimental pathway and fabrication challenges</title>
<p>A future experimental validation of the proposed MASnBr<sub>3</sub>/ZnSnN<sub>2</sub>-based photovoltaic structure can follow scalable, low-cost fabrication approaches already explored for similar materials. MASnBr<sub>3</sub> thin films can be synthesized using solution-based methods such as spin coating or ultrasonic spray pyrolysis (USP), or vacuum-based methods like sequential thermal evaporation or co-evaporation of SnBr<sub>2</sub> and methylammonium bromide (MABr) precursors (<xref ref-type="bibr" rid="B21">Kaleli et al., 2022</xref>), (<xref ref-type="bibr" rid="B59">Wang et al., 2025</xref>). Among these, sequential evaporation has yielded better film quality and higher efficiencies (up to 1.12%) than co-evaporation due to better phase control and stoichiometry. Additionally, fully USP-fabricated structures have been demonstrated using FTO/TiO<sub>2</sub>/MASnBr<sub>3</sub>/P3HT/Ag configurations.</p>
<p>For ZnSnN<sub>2</sub>, RF magnetron co-sputtering is a well-established technique that provides high purity and stoichiometric control (<xref ref-type="bibr" rid="B28">Laidouci et al., 2020</xref>). This method allows co-deposition from Zn and Sn targets in a nitrogen plasma environment. Stoichiometry can be verified by XRF, while phase purity and crystallinity can be confirmed via XRD. Hall effect measurements can assess carrier mobility and type.</p>
<p>MASnBr<sub>3</sub> faces major challenges with Sn<sup>2&#x2b;</sup> oxidation to Sn<sup>4&#x2b;</sup> in ambient conditions, leading to rapid degradation. This can be addressed through encapsulation techniques such as ALD-deposited Al<sub>2</sub>O<sub>3</sub>, parylene coatings, or by introducing reducing additives during synthesis to stabilize Sn<sup>2&#x2b;</sup> (<xref ref-type="bibr" rid="B40">Noel et al., 2014</xref>), (<xref ref-type="bibr" rid="B31">Li et al., 2016</xref>), (<xref ref-type="bibr" rid="B44">Raiford, 2021</xref>). On the other hand, ZnSnN<sub>2</sub> requires precise stoichiometry control and annealing optimization to minimize defects and maintain phase purity (<xref ref-type="bibr" rid="B4">Bui, 2022</xref>). Its metastable wurtzite structure can be sensitive to temperature and growth conditions. Additionally, interface engineering is crucial. Proper alignment and passivation of the MASnBr<sub>3</sub>/ZnSnN<sub>2</sub> interface can suppress recombination and enhance charge transfer. Experimental deposition order and interlayer treatment (e.g., surface treatments or insertion of ultra-thin buffer layers) may play a key role. Together, the integration of sequential evaporation for MASnBr<sub>3</sub> and RF co-sputtering for ZnSnN<sub>2</sub>, followed by post-deposition annealing and encapsulation, represents a viable experimental roadmap to replicate the high-efficiency dual-absorber structure proposed in this simulation study.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s4">
<title>4 Conclusion</title>
<p>In this study, we proposed and optimized a lead-free perovskite solar cell using a dual-absorber configuration of MASnBr<sub>3</sub> and ZnSnN<sub>2</sub>. Through SCAPS-1D simulation, we demonstrated that careful selection and tuning of (ETL) ZnO and (HTL) CNTS, along with optimization of absorbers thickness, doping, and defect densities, can significantly enhance device performance. The optimized device achieved a high PCE of 35.87%, with V<sub>OC</sub> &#x3d; 1.17 V, J<sub>SC</sub> &#x3d; 34.39 mA/cm<sup>2</sup>, and FF &#x3d; 89.01%. Encapsulation strategies were noted as essential for improving MASnBr<sub>3</sub> stability under ambient conditions. Moreover, both absorber materials consist of earth-abundant and non-toxic elements, supporting sustainability and scalability.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec sec-type="author-contributions" id="s6">
<title>Author contributions</title>
<p>MH: Resources, Validation, Visualization, Project administration, Conceptualization, Formal Analysis, Data curation, Writing &#x2013; review and editing, Methodology, Writing &#x2013; original draft, Investigation, Software, Supervision. MSi: Supervision, Software, Methodology, Validation, Conceptualization, Data curation, Investigation, Writing &#x2013; original draft, Formal Analysis, Writing &#x2013; review and editing, Resources, Visualization, Project administration. MA: Writing &#x2013; review and editing, Investigation, Software, Conceptualization, Funding acquisition, Resources, Project administration, Methodology, Validation, Supervision, Data curation, Formal Analysis, Visualization. MSh: Validation, Data curation, Supervision, Conceptualization, Writing &#x2013; review and editing, Project administration, Software, Resources, Formal Analysis. AA: Funding acquisition, Validation, Resources, Project administration, Supervision, Investigation, Writing &#x2013; review and editing, Methodology, Visualization, Software. MH: Resources, Funding acquisition, Project administration, Formal Analysis, Data curation, Validation, Writing &#x2013; review and editing, Conceptualization, Supervision, Investigation, Methodology.</p>
</sec>
<sec sec-type="funding-information" id="s7">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.</p>
</sec>
<ack>
<p>Dr. Marc Burgelman of the University of Gent in Belgium is to be thanked by the authors for supplying the SCAPS simulator. The authors also would like to express their sincere gratitude to Pabna University of Science and Technology, Pabna, Bangladesh, and Rajshahi University of Engineering and Technology, Rajshahi, Bangladesh, for providing renewable energy laboratory facilities and the necessary support to carry out this research.</p>
</ack>
<sec sec-type="COI-statement" id="s8">
<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="ai-statement" id="s9">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s note</title>
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</sec>
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