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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Electron.</journal-id>
<journal-title>Frontiers in Electronics</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Electron.</abbrev-journal-title>
<issn pub-type="epub">2673-5857</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-meta>
<article-id pub-id-type="publisher-id">1613402</article-id>
<article-id pub-id-type="doi">10.3389/felec.2025.1613402</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Electronics</subject>
<subj-group>
<subject>Brief Research Report</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Exploring the performance of GaN trench CAVETs from cryogenic to elevated temperatures</article-title>
<alt-title alt-title-type="left-running-head">Wen 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/felec.2025.1613402">10.3389/felec.2025.1613402</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Wen</surname>
<given-names>X.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<contrib contrib-type="author">
<name>
<surname>Lee</surname>
<given-names>K.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<contrib contrib-type="author">
<name>
<surname>Kasai</surname>
<given-names>H.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<contrib contrib-type="author">
<name>
<surname>Noshin</surname>
<given-names>M.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<contrib contrib-type="author">
<name>
<surname>Meng</surname>
<given-names>C.</given-names>
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<sup>1</sup>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Chowdhury</surname>
<given-names>S.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<aff id="aff1">
<sup>1</sup>
<institution>Department of Electrical Engineering</institution>, <institution>Stanford University</institution>, <addr-line>Stanford</addr-line>, <addr-line>CA</addr-line>, <country>United States</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Research Institute for Advanced Material and Devices</institution>, <institution>Corporate R&#x26;D Group</institution>, <addr-line>Kyocera</addr-line>, <country>Japan</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/2659715/overview">Wenping Zhang</ext-link>, Tianjin University, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1766083/overview">Xiao Li</ext-link>, Beihang University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3049862/overview">Jiahui Sun</ext-link>, Zhejiang University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: S. Chowdhury, <email>srabanti@stanford.edu</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>12</day>
<month>08</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>6</volume>
<elocation-id>1613402</elocation-id>
<history>
<date date-type="received">
<day>17</day>
<month>04</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>17</day>
<month>07</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Wen, Lee, Kasai, Noshin, Meng and Chowdhury.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Wen, Lee, Kasai, Noshin, Meng and Chowdhury</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Fabricated GaN trench current aperture vertical electron transistors (CAVETs) were characterized across a wide temperature range for the first time, including <italic>in situ</italic> cryogenic measurements down to 10&#xa0;K and <italic>ex situ</italic> thermal shock testing at elevated temperatures of 773&#xa0;K and 1073&#xa0;K. The device featured a highly conductive AlGaN/GaN channel regrown on p-GaN following trench etching. As the temperature decreased, the field-effect mobility in the regrown two-dimensional electron gas (2DEG) channel increased from 1886 cm<sup>2</sup>/(V&#x2219;s) at 296&#xa0;K to 3577 cm<sup>2</sup>/(V&#x2219;s) at 10&#xa0;K. The device maintained a stable threshold voltage (V<sub>TH</sub>). The subthreshold slope (SS) decreased from 98.32&#xa0;mV/dec to 51.31&#xa0;mV/dec, and the I<sub>on</sub>/I<sub>off</sub> ratio increased from 3 &#xd7; 10<sup>9</sup> to 9 &#xd7; 10<sup>10</sup> over the same temperature range. The specific on-state resistance (R<sub>on,sp</sub>) decreased from 1.02&#xa0;m&#x3a9;&#xa0;cm<sup>2</sup> at 296&#xa0;K to 0.586&#xa0;m&#x3a9;&#xa0;cm<sup>2</sup> at 10&#xa0;K. Furthermore, 1-min thermal shock testing was conducted as a preliminary method to assess the resilience of trench CAVET at elevated temperatures. The device maintained field effect transistor (FET) functionality after exposure to 773&#xa0;K, albeit with reduced current. Testing at 1073&#xa0;K resulted in more significant performance degradation, including a sharp increase in R<sub>on,sp</sub> and failure to achieve pinch-off due to a pronounced surge in gate leakage.</p>
</abstract>
<kwd-group>
<kwd>gallium nitride</kwd>
<kwd>current aperture vertical electron transistor</kwd>
<kwd>vertical transistor</kwd>
<kwd>cryogenic electronics</kwd>
<kwd>high-temperature electronics</kwd>
<kwd>extreme temperature applications</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Power Electronics</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Power electronics operating in extreme temperature environments have garnered increasing attention for applications such as space, healthcare, and transport systems. Under high-temperature conditions, power devices must retain functionality despite potential performance degradation. Conversely, at cryogenic temperatures, devices are expected to exhibit enhanced electrical performance. Gallium nitride (GaN) is considered a promising candidate for reliable operation across these extreme thermal regimes, owing to its wide bandgap of 3.4&#xa0;eV and the presence of thermally stable two-dimensional electron gas (2DEG).</p>
<p>As temperature decreases from room temperature (RT), conventional silicon (Si) power transistors benefit from reduced scattering effects, leading to higher carrier mobility, lower on-resistance (R<sub>on</sub>), and improved power density with reduced losses (<xref ref-type="bibr" rid="B36">Rajashekara and Akin, 2013</xref>). However, Si devices suffer from intrinsic carrier freeze-out below &#x223c;100&#xa0;K, causing a negative temperature coefficient of R<sub>on</sub> (i.e., resistance increases as temperature decreases) (<xref ref-type="bibr" rid="B1">Ahmad, 1987</xref>). Silicon carbide (SiC) devices face additional challenges due to interface state trapping, resulting in degraded current conduction and increased R<sub>on</sub> (<xref ref-type="bibr" rid="B2">Chen et al., 2013</xref>). Unlike Si and SiC power transistors, which rely on impurity doping to enable conduction, GaN CAVETs benefit from a 2DEG channel formed by polarization effects even without intentional doping. This intrinsic mechanism enables high current conductivity, low R<sub>on</sub>, and fast switching capability at cryogenic temperatures (<xref ref-type="bibr" rid="B32">Nela et al., 2021</xref>). As a result, GaN CAVETs are well-suited for cryogenic power electronics applications, such as onboard electronics for space applications and image sensors, where systems operate directly at low ambient temperatures. In such environments, maintaining conventional power devices at room temperature would require bulky and inefficient thermal insulation. Cryogenically compatible electronics, by contrast, offer a more compact and efficient solution (<xref ref-type="bibr" rid="B12">Gui et al., 2020</xref>). Therefore, understanding the behavior of power devices at cryogenic temperatures is critical for advancing performance in emerging cryogenically cooled power electronics applications.</p>
<p>High-temperature operations are found in applications such as deep-well drilling, automotive systems, and spacecraft. In particular, some systems must withstand brief exposure to extreme thermal events, where temperatures rise sharply for short durations. Under such high-temperature conditions, solid-state switching devices, which serve as critical components in power electronics converters, must sustain functionality despite potential performance degradation. The 2DEG channel formed at an AlGaN/GaN heterojunction has demonstrated excellent thermal stability, supporting reliable operation at elevated temperatures (<xref ref-type="bibr" rid="B47">Yuan, 2022</xref>; <xref ref-type="bibr" rid="B14">Hassan et al., 2018</xref>). Lateral GaN high electron mobility transistors (HEMTs), leveraging a 2DEG channel along with the high critical electric field, demonstrate high power density and efficiency, making them commercially viable for medium-power and high-frequency applications (1&#x2013;10&#xa0;kW) (<xref ref-type="bibr" rid="B5">Chowdhury and Mishra, 2013</xref>; <xref ref-type="bibr" rid="B20">Ji et al., 2016</xref>). Nevertheless, vertical device architectures are preferred for power electronics due to superior electric field management and more efficient chip area utilization. Among GaN vertical transistors (<xref ref-type="bibr" rid="B17">Ji, 2017</xref>; <xref ref-type="bibr" rid="B35">Oka et al., 2015</xref>; <xref ref-type="bibr" rid="B16">Jeong et al., 2023</xref>; <xref ref-type="bibr" rid="B49">Zhang, 2018</xref>; <xref ref-type="bibr" rid="B28">Liu, 2020</xref>), the current aperture vertical electron transistor (CAVET) (<xref ref-type="bibr" rid="B6">Chowdhury et al., 2008</xref>; <xref ref-type="bibr" rid="B41">Wen, 2024</xref>; <xref ref-type="bibr" rid="B7">Chowdhury et al., 2012</xref>; <xref ref-type="bibr" rid="B18">Ji et al., 2018a</xref>) stands out as the only structure that contains a high-conductivity 2DEG channel for current transport, combining a vertical p&#x2013;n junction for off-state voltage blocking (<xref ref-type="bibr" rid="B42">Wen et al., 2024a</xref>). For low-to-medium voltage applications, where the channel conductivity significantly influences the total R<sub>on</sub>, GaN CAVETs offer a compelling advantage in power device figure of merit (BV<sup>2</sup>/R<sub>on,sp</sub>) due to their inherently high channel conductivity (<xref ref-type="bibr" rid="B43">Wen et al., 2024b</xref>). Several studies have explored GaN trench CAVET structures (<xref ref-type="bibr" rid="B18">Ji et al., 2018a</xref>; <xref ref-type="bibr" rid="B45">Wen et al., 2024c</xref>; <xref ref-type="bibr" rid="B37">Shibata, 2016</xref>), in which a regrown AlGaN/GaN heterostructure is formed on a selective-area p-GaN current-blocking layer (CBL) by trench etching.</p>
<p>Despite successful demonstrations, many fundamental properties of GaN CAVETs, including their temperature-dependent behavior, remain insufficiently explored. Prior studies have primarily focused on device performance from RT up to moderately elevated temperatures (&#x3c;473&#xa0;K) (<xref ref-type="bibr" rid="B37">Shibata, 2016</xref>; <xref ref-type="bibr" rid="B8">D&#xf6;ring, 2024</xref>). In our previous work, we reported <italic>in situ</italic> DC and switching characterization of GaN trench CAVETs operating at temperatures up to 573&#xa0;K (<xref ref-type="bibr" rid="B45">Wen et al., 2024c</xref>). Building on that foundation, this work further extends the temperature characterization range by presenting the first <italic>in situ</italic> electrical characterization of GaN trench CAVETs from 296&#xa0;K down to cryogenic temperatures as low as 10&#xa0;K. Additionally, for the first time, the of CAVETs are subjected to1-minute thermal shock tests at 773&#xa0;K and 1073&#xa0;K to <italic>ex-situ</italic> access thermal survivability under high-temperature conditions. The device retained proper transistor functionality after exposure to 773&#xa0;K but exhibited pinch-off failure at 1073&#xa0;K. Evaluating GaN CAVETs across this broad temperature range enables an assessment of their suitability for power electronics intended for harsh and thermally demanding environments. This work provides preliminary insights into the potential of GaN CAVETs to serve as robust candidates for future power electronics applications operating under extreme temperature conditions.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<p>The GaN trench CAVET was fabricated on a bulk GaN substrate, as illustrated in <xref ref-type="fig" rid="F1">Figure 1</xref>. We implemented an etch-then-regrowth approach to form a regrown AlGaN/GaN heterostructure by metal-organic chemical vapor deposition (MOCVD), with the channel extending along slanted trench sidewalls. The 2DEG conductivity is strongly influenced by the etch-then-regrowth process, presenting two key challenges (<xref ref-type="bibr" rid="B19">Ji et al., 2018b</xref>). First, Mg inevitably out-diffuses from p-GaN CBL into the channel during high-temperature MOCVD regrowth, which can significantly compensate the 2DEG charge and degrade output current (<xref ref-type="bibr" rid="B46">Xing et al., 2003</xref>). To address this, we insert a thin low-temperature GaN (LT-GaN) layer, named the Mg stop layer (MSL), between the p-GaN CBL and the regrown channel, effectively suppressing Mg redistribution (<xref ref-type="bibr" rid="B44">Wen et al., 2023</xref>). Second, the etch-then-regrowth process can easily introduce interface issues (<xref ref-type="bibr" rid="B10">Fu et al., 2019</xref>; <xref ref-type="bibr" rid="B9">Fu et al., 2021</xref>), particularly Si impurity accumulation at the regrowth interface (<xref ref-type="bibr" rid="B9">Fu et al., 2021</xref>). The unmodulated impurities can increase off-state leakage through a parasitic conduction path (<xref ref-type="bibr" rid="B25">Li et al., 2018</xref>). To mitigate interfacial Si contamination, we perform a chemical cleaning process using ultraviolet-ozone (UVO) and hydrofluoric (HF) acid treatment before MOCVD regrowth (<xref ref-type="bibr" rid="B34">Noshin et al., 2022</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Schematic of trench CAVET fabricated on a GaN substrate.</p>
</caption>
<graphic xlink:href="felec-06-1613402-g001.tif">
<alt-text content-type="machine-generated">Diagram showing a semiconductor structure. On the left is a vertical stack with labels: GaN Substrate, three micrometers n-GaN (Si: six times ten to the sixteenth centimeters cubed), three hundred nanometers p-GaN (Mg: one times ten to the nineteenth centimeters cubed), one hundred nanometers MSL, one hundred forty nanometers UID-GaN, thirty nanometers Al sub 0.3 Ga sub 0.7 N. On the right is a cross-sectional view with labeled layers and components: GaN Substrate, n-GaN, Al sub 2 O sub 3, AlGaN/GaN, pGaN, MSL, with contacts labeled S (source), G (gate), D (drain).</alt-text>
</graphic>
</fig>
<p>The fabrication process of the trench CAVET is summarized in <xref ref-type="fig" rid="F2">Figure 2</xref>. The structure was grown by MOCVD on a &#x223c;400-&#x3bc;m GaN substrate with n &#x2b; doping about 1 &#xd7; 10<sup>18</sup>&#xa0;cm<sup>&#x2212;3</sup>, followed by a 3-&#x3bc;m n-GaN drift layer with a Si doping density of &#x223c;6 &#xd7; 10<sup>16</sup>&#xa0;cm<sup>&#x2212;3</sup>. A 300-nm p-GaN layer was grown as the CBL with Mg doping density of &#x223c;1 &#xd7; 10<sup>19</sup>&#xa0;cm<sup>&#x2212;3</sup>. On top of the p-GaN, another 100&#xa0;nm of LT-GaN was grown at 1023&#xa0;K to prevent Mg out-diffusion from p-GaN into the subsequent regrown layers. Trenches were etched to &#x223c;500&#xa0;nm deep using inductively coupled plasma reactive ion etching (ICP-RIE) to create the aperture region. After tetramethylammonium hydroxide (TMAH) wet etching to smooth the trench sidewalls (<xref ref-type="bibr" rid="B24">Kodama et al., 2008</xref>), UVO cleaning and HF treatment were performed immediately before the regrowth to reduce the Si concentration accumulating at the regrowth interface. The MOCVD regrowth contained 140&#xa0;nm unintentionally doped (UID) GaN and 30&#xa0;nm Al<sub>0.3</sub>Ga<sub>0.7</sub>N. Then, after device isolation by dry etching, the p-GaN CBL was activated by rapid thermal annealing (RTA). The Ti/Al/Ni/Au metal stack was deposited on AlGaN with lift-off, followed by RTA post-annealing at 1073&#xa0;K to form an ohmic source contact. Ni/Au p-GaN contact was deposited on the exposed p-GaN surface. A 15&#xa0;nm layer of Al<sub>2</sub>O<sub>3</sub> was deposited by plasma atomic layer deposition (ALD) as a gate dielectric with post-deposition annealing (PDA) in N<sub>2</sub>. Ni/Au formed the gate contact covering the trench-shaped channel. A 170 nm SiO<sub>2</sub> r was deposited as a passivation layer using plasma enhanced chemical vapor deposition (PECVD), followed by via opening. Ti/Au formed the gate and source pads and connected the p-GaN contact to the source. A Ti/Au drain electrode was placed on the backside.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Schematic process flow of the GaN trench CAVET.</p>
</caption>
<graphic xlink:href="felec-06-1613402-g002.tif">
<alt-text content-type="machine-generated">Cross-sectional diagrams showing the fabrication steps of a semiconductor structure. The first image shows layers labeled MSL, pGaN, nGaN, and GaN Substrate. The second and third images illustrate modifications with added AlGaN, GaN, and Al&#x2082;O&#x2083; layers. The final image includes additional elements labeled S (source), G (gate), and D (drain), along with Al&#x2082;O&#x2083; integrations.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3">
<title>3 Experimental results</title>
<sec id="s3-1">
<title>3.1 On the cryogenic characterization of GaN trench CAVET</title>
<p>CAVETs are unique among vertical GaN devices in that they employ a polarization-induced 2DEG channel, which enables a temperature-insensitive 2DEG channel without relying on impurity doping. This intrinsic conduction mechanism makes them highly attractive for cryogenic power electronics. Notably, in trench CAVETs, the AlGaN/GaN heterostructure that forms the 2DEG channel is <italic>ex situ</italic> regrown on a trench-shaped surface, with partial overlap on the p-GaN CBL. This geometry introduces challenges in the MOCVD regrowth process, particularly in achieving high-quality heterointerfaces and maintaining excellent 2DEG conductivity. Given that, we focused on characterizing the 2DEG transport properties and current conduction behavior of the trench CAVET across a wide temperature range. The fabricated wafer was measured using a cryogenic probe station equipped with liquid helium for temperature control, enabling electrical characterization down to approximately 10&#xa0;K. We extracted the 2DEG charge density through capacitance&#x2013;voltage (C&#x2013;V) measurements at 1&#xa0;MHz, as shown in <xref ref-type="fig" rid="F3">Figure 3b</xref>. The C&#x2013;V measurements were performed on a circular Schottky diode fabricated on the CAVET wafer (<xref ref-type="fig" rid="F3">Figure 3a</xref>). The 2DEG charge density (n<sub>s</sub>) determined from C&#x2013;V was 7.36 &#xd7; 10<sup>12</sup>&#xa0;cm<sup>&#x2212;2</sup>&#xa0;at 296&#xa0;K and 6.83 &#xd7; 10<sup>12</sup>&#xa0;cm<sup>&#x2212;2</sup>&#xa0;at 10&#xa0;K, indicating an almost negligible variation with temperature. The measured capacitance in the accumulation region is nearly flat, which shows the capacitance of the AlGaN barrier layer (C<sub>AlGaN</sub>). As the voltage bias becomes more negative, electrons in the 2DEG channel at the AlGaN/GaN heterojunction begin to gradually deplete under gate control, resulting in an increasing depletion width in the GaN layer. The total measured capacitance consists of the C<sub>AlGaN</sub> and the GaN depletion capacitance (C<sub>depletion</sub>) in series, as shown in <xref ref-type="disp-formula" rid="e1">Equation (1)</xref>:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>G</mml:mi>
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<mml:mfrac>
<mml:mrow>
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</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>C&#x2013;V characteristics and TLM of the regrown AlGaN/GaN heterostructure. <bold>(a)</bold> Circular Schottky diode for C&#x2013;V measurements. <bold>(b)</bold> The C&#x2013;V plot at different temperatures from 296&#xa0;K to 10&#xa0;K. <bold>(c)</bold> Temperature-dependent R<sub>sh</sub> from TLM.</p>
</caption>
<graphic xlink:href="felec-06-1613402-g003.tif">
<alt-text content-type="machine-generated">Diagram and graphs related to a semiconductor device. (a) Cross-section of a device with AlGaN, GaN, MSL, p-GaN, n-GaN layers, and GaN substrate. (b) Capacitance versus voltage graph at various temperatures (296K to 10K), showing a sharp increase around -4V. (c) Sheet resistance versus temperature graph, showing an upward trend from 100 to 600 &#x3A9;/sq as temperature increases from 0K to 300K.</alt-text>
</graphic>
</fig>
<p>In the transition region where the 2DEG is almost depleted, the C&#x2013;V curve slope becomes steeper as the temperature decreases from 296&#xa0;K due to stronger electron confinement at the AlGaN/GaN interface at cryogenic temperatures (<xref ref-type="bibr" rid="B26">Liang et al., 2022</xref>; <xref ref-type="bibr" rid="B33">Nicollian and Brews, 2002</xref>; <xref ref-type="bibr" rid="B29">Miczek et al., 2008</xref>). When the gate bias falls below the threshold voltage, the 2DEG becomes fully depleted, and the C&#x2013;V curve reaches a lower plateau. This region corresponds to the depletion capacitance of the UID-GaN channel and the MSL beneath the heterojunction. At cryogenic temperatures, the ionization rate of residual donors in GaN decreases, resulting in a wider depletion region and thus a lower capacitance.</p>
<p>The temperature dependence of the channel sheet resistance (R<sub>sh</sub>) was extracted from the transfer length method (TLM), as presented in <xref ref-type="fig" rid="F3">Figure 3c</xref>. R<sub>sh</sub> decreased from 450.5&#xa0;&#x3a9;/sq at 296&#xa0;K to 118.9&#xa0;&#x3a9;/sq at 10&#xa0;K, which was primarily attributed to the improvement in 2DEG carrier mobility due to the reduction of scattering effects at lower temperatures (<xref ref-type="bibr" rid="B48">Zanato et al., 2004</xref>).</p>
<p>The transconductance (g<sub>m</sub> &#x3d; &#x2202;I<sub>D</sub>/&#x2202;V<sub>GS</sub>) extracted from I<sub>D</sub>&#x2013;V<sub>GS</sub> at V<sub>DS</sub> &#x3d; 0.1&#xa0;V across different temperatures is shown in <xref ref-type="fig" rid="F4">Figure 4</xref>. Measurements were conducted on a lateral trench channel structure with identical epitaxial layers to those of the CAVET, as illustrated in <xref ref-type="fig" rid="F4">Figure 4a</xref>. The field-effect mobility (&#x3bc;<sub>FE</sub>) of the regrown AlGaN/GaN channel was calculated using (<xref ref-type="disp-formula" rid="e2">Equation 2</xref>) the following equation (<xref ref-type="bibr" rid="B40">Wei et al., 2015</xref>):<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bc;</mml:mi>
<mml:mrow>
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<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where L<sub>G</sub>/W<sub>G</sub> is the gate length-to-width ratio, and C<sub>g</sub> is the capacitance between the gate and channel. The extracted mobility from the peak g<sub>m</sub>, as shown in <xref ref-type="fig" rid="F4">Figure 4c</xref>, increased from 1886 cm<sup>2</sup>/(V&#x2219;s) at 296&#xa0;K to 3577 cm<sup>2</sup>/(V&#x2219;s) at 10&#xa0;K. In the relatively high-temperature range, polar optical (LO) phonon scattering is the dominant mobility-limiting mechanism for the 2DEG (<xref ref-type="bibr" rid="B48">Zanato et al., 2004</xref>; <xref ref-type="bibr" rid="B21">Kaasbjerg et al., 2013</xref>). As the temperature decreases from 296&#xa0;K, the mobility limited by LO phonon scattering increases exponentially (<xref ref-type="bibr" rid="B27">Lisesivdin et al., 2010</xref>; <xref ref-type="bibr" rid="B22">Karmakar et al., 2023</xref>). Below approximately 100&#xa0;K, the mobility gradually saturates and exhibits weak temperature dependence, consistent with prior reports (<xref ref-type="bibr" rid="B48">Zanato et al., 2004</xref>; <xref ref-type="bibr" rid="B11">G&#xf6;kden, 2003</xref>). In this deep cryogenic regime, phonon-related scattering mechanisms are largely suppressed, and the remaining mobility limitation can be primarily attributed to interface roughness and dislocation scattering (<xref ref-type="bibr" rid="B31">Nedwell, 1999</xref>).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>
<bold>(a)</bold> Lateral trench structure on the GaN substrate, involving identical epitaxial layers to those of the CAVET. <bold>(b)</bold> Temperature-dependent I<sub>D</sub>&#x2013;V<sub>GS</sub> with corresponding transconductance. <bold>(c)</bold> Extracted field-effect mobility as a function of temperature.</p>
</caption>
<graphic xlink:href="felec-06-1613402-g004.tif">
<alt-text content-type="machine-generated">Diagram and graphs illustrate a GaN transistor. (a) Cross-section of the transistor with labeled layers: p-GaN, n-GaN, and GaN substrate, showing source (S), gate (G), and drain (D). (b) Graph of I_D (drain current) in milliamperes versus V_GS (gate-source voltage) in volts, across various temperatures from 10K to 296K at V_DS of 0.1V. (c) Graph of electron mobility in square centimeters per volt-second versus temperature in Kelvin, showing mobility decreasing as temperature increases.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F5">Figure 5a</xref> illustrates the temperature-dependent I<sub>D</sub>&#x2013;V<sub>GS</sub> transfer characteristics of the trench CAVET in both logarithmic and linear scales. At lower temperatures, the off-state leakage current decreased due to the suppression of thermally generated carriers within the material (<xref ref-type="bibr" rid="B23">Kizilyalli and Aktas, 2015</xref>; <xref ref-type="bibr" rid="B3">Chen et al., 2024</xref>). Coupled with the increased on-state current at lower temperatures, the I<sub>on</sub>/I<sub>off</sub> ratio improved significantly from 3 &#xd7; 10<sup>9</sup>&#xa0;at 296&#xa0;K to 9 &#xd7; 10<sup>10</sup>&#xa0;at 10&#xa0;K. The off-state leakage current decreased at lower temperatures, consistent with the reduced capacitance values observed in the lower plateau of the C&#x2013;V curves in <xref ref-type="fig" rid="F3">Figure 3b</xref> at cryogenic temperatures. The extracted subthreshold slope (SS) improved from 98.32 mV/dec at 296&#xa0;K to 51.31 mV/dec at 10&#xa0;K. <xref ref-type="fig" rid="F5">Figure 5b</xref> shows the threshold voltage (V<sub>TH</sub>) defined at 1&#xa0;&#x3bc;A/mm. No significant variation in V<sub>TH</sub> was observed across the temperature range, showing an average value of &#x2212;7.45&#xa0;V and a standard deviation of 0.069&#xa0;V. The 2DEG at the AlGaN/GaN interface is primarily induced by polarization fields rather than doping, and the degenerate electron population in the 2DEG channel is nearly temperature-independent (<xref ref-type="bibr" rid="B39">Smorchkova et al., 1999</xref>). Because the n<sub>s</sub> strongly influences V<sub>TH</sub> (<xref ref-type="bibr" rid="B15">Huque et al., 2009</xref>), the observed V<sub>TH</sub> stability of CAVET is consistent with the fact that n<sub>s</sub> remained almost constant across temperatures.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>
<bold>(a)</bold> Temperature-dependent I<sub>D</sub>&#x2013;V<sub>GS</sub> transfer characteristics of the fabricated trench CAVET with as-grown MSL. <bold>(b)</bold> The extracted V<sub>TH</sub> across temperatures from 296&#xa0;K to 10&#xa0;K.</p>
</caption>
<graphic xlink:href="felec-06-1613402-g005.tif">
<alt-text content-type="machine-generated">(a) Graph showing drain current (\(I_D\)) and gate current (\(I_G\)) versus gate voltage (\(V_{GS}\)) at various temperatures from 10K to 296K with a drain-source voltage (\(V_{DS}\)) of 5V. As temperature increases, the curves shift upwards. (b) Graph depicting threshold voltage (\(V_{TH}\)) versus temperature (\(T\)), showing a slight variation as temperature ranges from 0 to 300K.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F6">Figures 6a,b</xref> compare the I<sub>D</sub>&#x2013;V<sub>DS</sub> output characteristics of the fabricated trench CAVET measured at 296&#xa0;K and 10&#xa0;K with the gate voltage swept from 0&#xa0;V in steps of &#x2212;1&#xa0;V. At 296&#xa0;K, the specific on-resistance (R<sub>on,sp</sub>) was 1.02&#xa0;m&#x3a9;&#xa0;cm<sup>2</sup>, and the maximum drain current density (I<sub>D,max</sub>) at V<sub>DS</sub> &#x3d; 10&#xa0;V and V<sub>GS</sub> &#x3d; 0&#xa0;V was 3.66&#xa0;kA/cm<sup>2</sup>. At 10&#xa0;K, R<sub>on,sp</sub> decreased to 0.586&#xa0;m&#x3a9;&#xa0;cm<sup>2</sup>, and I<sub>D,max</sub> increased to 5.82&#xa0;kA/cm<sup>2</sup>. The normalized on-resistance at each temperature, defined as R<sub>on,sp</sub> (T)/R<sub>on,sp</sub> (296&#xa0;K), is plotted in <xref ref-type="fig" rid="F6">Figure 6c</xref> alongside data from a lateral trench HEMT (<xref ref-type="fig" rid="F4">Figure 4a</xref>). As the temperature decreased from 296&#xa0;K to 10&#xa0;K, both devices exhibited a similar decreasing trend in R<sub>on,sp</sub>, which continuously decreased as the temperature dropped from 296&#xa0;K and gradually saturated below 100&#xa0;K. At 10&#xa0;K, the normalized R<sub>on,sp</sub> of the lateral trench HEMT was 0.541, while that of the vertical CAVET was slightly higher at 0.576. The slightly less pronounced reduction in R<sub>on,sp</sub> for the vertical CAVET, compared to the lateral counterpart, indicates additional contributions from drift resistance (R<sub>drift</sub>) and substrate resistance (R<sub>sub</sub>). The R<sub>on,sp</sub> in a CAVET primarily comprises the channel resistance (R<sub>ch</sub>), R<sub>drift</sub>, and R<sub>sub</sub> (<xref ref-type="bibr" rid="B4">Chowdhury, 2019</xref>). In the fabricated trench CAVET with a 3-&#x3bc;m drift layer, R<sub>ch</sub> accounted for approximately 70% of R<sub>on,sp</sub> at RT, and its temperature dependence was primarily governed by channel mobility, as the 2DEG charge density remained nearly constant. At cryogenic temperatures, the bulk electron mobility is primarily constrained by ionized impurity scattering, while the 2DEG channel experiences a more pronounced mobility enhancement (<xref ref-type="bibr" rid="B27">Lisesivdin et al., 2010</xref>; <xref ref-type="bibr" rid="B38">Shur et al., 1996</xref>).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>I<sub>D</sub>&#x2013;V<sub>DS</sub> output characteristics of the fabricated trench CAVET at <bold>(a)</bold> 296&#xa0;K and <bold>(b)</bold> 10&#xa0;K. <bold>(c)</bold> Temperature-dependent normalized R<sub>on,sp</sub> of the fabricated trench CAVET and trench HEMT.</p>
</caption>
<graphic xlink:href="felec-06-1613402-g006.tif">
<alt-text content-type="machine-generated">Graphs (a) and (b) display I_D versus V_DS characteristics with steps of minus one volt, showing maximum V_GS of zero volts. Graph (a) has a specific on-resistance of 1.02 milliohms centimeter squared, while graph (b) shows 0.586 milliohms centimeter squared. Graph (c) presents normalized R_on,sp versus temperature in Kelvin, comparing Trench CAVET (blue) and Trench HEMT (red). Both lines rise with increasing temperature, with data points marked by symbols.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 On the high-temperature survivability of GaN trench CAVET</title>
<p>Thermal shock testing serves as an effective preliminary method to assess the resilience of devices under extreme temperature fluctuations and rapid thermal cycling. As an initial effort to explore the impact of elevated temperatures (&#x2265;773&#xa0;K) on the fabricated GaN trench CAVETs, two samples were subjected to rapid thermal annealing (RTA) in a nitrogen ambient atmosphere for 1&#xa0;minute at 773&#xa0;K (500&#xa0;&#xb0;C) and 1073&#xa0;K (800&#xa0;&#xb0;C), respectively.</p>
<p>One-minute 773&#xa0;K thermal shock tests were performed three times on the trench CAVET. The post-annealing I&#x2013;V characteristics, including both transfer and output curves, are presented in <xref ref-type="fig" rid="F7">Figure 7</xref> to explore the impact of repeated thermal shock tests on device transport properties. The devices retained typical FET behavior throughout the tests. The transfer characteristics in <xref ref-type="fig" rid="F7">Figure 7a</xref> exhibit a positive V<sub>TH</sub> shift from &#x2212;9.9&#xa0;V before the thermal shock to &#x2212;9.2&#xa0;V after the first run, with no further obvious change observed after the second and third runs. The observed rightward shift in V<sub>TH</sub> after thermal shock tests may be attributed to annealing effects in the ALD-grown Al<sub>2</sub>O<sub>3</sub> gate dielectric layer during thermal shock tests. Specifically, such annealing may reduce the trap state density either at the oxide/AlGaN interface or within the oxide layer, resulting in a positive shift in V<sub>TH</sub> (<xref ref-type="bibr" rid="B30">Nakazawa et al., 2019</xref>; <xref ref-type="bibr" rid="B13">Gupta et al., 2019</xref>). Additionally, gradual gate degradation was observed after the repeated thermal shock tests, as reflected by an increase in off-state gate leakage current from 10<sup>&#x2212;5</sup> A/cm<sup>2</sup> to 10<sup>&#x2212;3</sup> A/cm<sup>2</sup> after three cycles. The output curves in <xref ref-type="fig" rid="F7">Figure 7b</xref> show that the R<sub>on,sp</sub> increased to 1.58&#xa0;m&#x3a9;&#xa0;cm<sup>2</sup> after the first test and 1.60&#xa0;m&#x3a9;&#xa0;cm<sup>2</sup> after the third thermal test. The output current density at V<sub>GS</sub> &#x3d; 0&#xa0;V and V<sub>DS</sub> &#x3d; 6&#xa0;V decreased to 1892 A/cm<sup>2</sup> after the first thermal test and 1819 A/cm<sup>2</sup> after the third run.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>
<bold>(a)</bold> I<sub>D</sub>&#x2013;V<sub>GS</sub> transfer characteristics and <bold>(b)</bold> I<sub>D</sub>&#x2013;V<sub>DS</sub> output characteristics trench CAVET after repeated 773&#xa0;K thermal shock testing.</p>
</caption>
<graphic xlink:href="felec-06-1613402-g007.tif">
<alt-text content-type="machine-generated">Graph (a) shows gate voltage (V\(_{\text{GS}}\)) versus drain and gate current densities (I\(_{\text{D}}\), I\(_{\text{G}}\)) on a logarithmic scale for different rapid thermal annealing (RTA) stages at V\(_{\text{DS}}\) = 5 V. Graph (b) depicts drain voltage (V\(_{\text{DS}}\)) versus drain current density (I\(_{\text{D}}\)) for the same RTA stages, showing increased current with temperature iterations.</alt-text>
</graphic>
</fig>
<p>After exposure to 1073&#xa0;K, the devices exhibited more severe performance degradation. As shown in <xref ref-type="fig" rid="F8">Figure 8a</xref>, proper pinch-off behavior was no longer observed due to a substantial increase in gate leakage current. Extracted from the output characteristics in <xref ref-type="fig" rid="F8">Figure 8b</xref>, the R<sub>on,sp</sub> increased significantly to 24.2&#xa0;m&#x3a9;&#xa0;cm<sup>2</sup>, and the output current density dropped to 170 A/cm<sup>2</sup>. Compared to the 773&#xa0;K treatment, visible metal degradation and peel-off were observed at 1073&#xa0;K, as shown in <xref ref-type="fig" rid="F9">Figure 9</xref>, along with a distinct color change in the gate metal, indicating possible metal alloying contributing to the increased leakage.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>
<bold>(a)</bold> I<sub>D</sub>&#x2013;V<sub>DS</sub> and <bold>(b)</bold> I<sub>D</sub>&#x2013;V<sub>GS</sub> of trench CAVET after 1073&#xa0;K thermal shock testing.</p>
</caption>
<graphic xlink:href="felec-06-1613402-g008.tif">
<alt-text content-type="machine-generated">Chart (a) shows a plot of current density \(I_D\) and \(I_G\) against gate-source voltage \(V_{GS}\) from -8V to 0V, with \(V_{DS} = 2.5V\). The \(I_D\) curve is black, and the \(I_G\) curve is red. Chart (b) displays current density \(I_D\) against drain-source voltage \(V_{DS}\) from 0V to 6V with \(V_{GS, MAX} = 0V\), \(V_{step} = -1V\), and resistance \(24.2 \, \text{m&#x3A9;} \cdot \text{cm}^2\), featuring six blue curves.</alt-text>
</graphic>
</fig>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Optical images of trench CAVET <bold>(a)</bold> before testing, <bold>(b)</bold> after 773&#xa0;K thermal shock, and <bold>(c)</bold> after 1073&#xa0;K thermal shock.</p>
</caption>
<graphic xlink:href="felec-06-1613402-g009.tif">
<alt-text content-type="machine-generated">Three panels show a microchip with &#x22;Gate&#x22; and &#x22;Source&#x22; labels under different conditions. (a) Before test, the gate and source appear intact. (b) At seven hundred seventy-three Kelvin, slight discoloration appears. (c) At one thousand seventy-three Kelvin, significant damage is visible with pronounced color changes and degradation around the gate and source.</alt-text>
</graphic>
</fig>
<p>These results represent the first demonstration of the thermal survivability of GaN trench CAVETs under high-temperature shocks and provide a foundation for future studies exploring their reliability under combined high-temperature and bias-stress conditions. The electrical characteristics of the GaN trench CAVETs from this work and our prior study (<xref ref-type="bibr" rid="B45">Wen et al., 2024c</xref>) are summarized in <xref ref-type="table" rid="T1">Table 1</xref>, including both <italic>in situ</italic> measurements (i.e., devices measured at the specified temperature) and <italic>ex-situ</italic> measurements (i.e., devices measured after undergoing 1-min thermal shock testing).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>A summary of the GaN trench CAVET performance in this work and in <xref ref-type="bibr" rid="B45">Wen et al. (2024c)</xref> at different temperatures, including both <italic>in situ</italic> measurements (i.e., devices measured at the specified temperature) and <italic>ex-situ</italic> measurements (i.e., devices measured after undergoing 1-min thermal shock testing). &#x2a;Note that the minimum current measurement resolution of the source measurement unit (SMU) used for gate current measurement in <italic>ex-situ</italic> characterization is approximately 10<sup>&#x2212;5</sup> A/cm<sup>2</sup>. Currents below this threshold may not be accurately detected.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Measurement conditions</th>
<th align="center">Temperature</th>
<th align="center">R<sub>on,sp</sub>
</th>
<th align="center">I<sub>D</sub> at V<sub>GS</sub> &#x3d; 0&#xa0;V and V<sub>DS</sub> &#x3d; 6&#xa0;V</th>
<th align="center">Off-state I<sub>G</sub>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">
<italic>In situ</italic>
</td>
<td align="center">10&#xa0;K</td>
<td align="center">0.59&#xa0;m&#x3a9;&#xa0;cm<sup>2</sup>
</td>
<td align="center">5191 A/cm<sup>2</sup>
</td>
<td align="center">&#x223c;2 &#xd7; 10<sup>&#x2212;8</sup> A/cm<sup>2</sup>
</td>
</tr>
<tr>
<td align="center">
<italic>In situ</italic>
</td>
<td align="center">296&#xa0;K (RT)</td>
<td align="center">1.0&#xa0;m&#x3a9;&#xa0;cm<sup>2</sup>
</td>
<td align="center">3314 A/cm<sup>2</sup>
</td>
<td align="center">&#x223c;4 &#xd7; 10<sup>&#x2212;7</sup> A/cm<sup>2</sup>
</td>
</tr>
<tr>
<td align="center">
<italic>In situ</italic>
</td>
<td align="center">573&#xa0;K (<xref ref-type="bibr" rid="B45">Wen et al., 2024c</xref>)</td>
<td align="center">2.3&#xa0;m&#x3a9;&#xa0;cm<sup>2</sup>
</td>
<td align="center">1760 A/cm<sup>2</sup>
</td>
<td align="center">&#x223c;4 &#xd7; 10<sup>&#x2212;4</sup> A/cm<sup>2</sup>
</td>
</tr>
<tr>
<td align="center">
<italic>Ex-situ</italic>
</td>
<td align="center">773&#xa0;K</td>
<td align="center">1.6&#xa0;m&#x3a9;&#xa0;cm<sup>2</sup>
</td>
<td align="center">1892 A/cm<sup>2</sup>
</td>
<td align="center">&#x223c;2 &#xd7; 10<sup>&#x2212;5</sup> A/cm<sup>2</sup>&#x2a;</td>
</tr>
<tr>
<td align="center">
<italic>Ex-situ</italic>
</td>
<td align="center">1073&#xa0;K</td>
<td align="center">24&#xa0;m&#x3a9;&#xa0;cm<sup>2</sup>
</td>
<td align="center">170 A/cm<sup>2</sup>
</td>
<td align="center">&#x223c;10 A/cm<sup>2</sup>
</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec sec-type="conclusion" id="s4">
<title>4 Conclusion</title>
<p>In summary, this study presents the first investigation of the device characterization of GaN trench CAVETs over a broad temperature range. For cryogenic characterization, the 2DEG charge density was 7.36 &#xd7; 10<sup>12</sup>&#xa0;cm<sup>&#x2212;2</sup> obtained from the regrown AlGaN/GaN channel with a slight 7% reduction from 296&#xa0;K to 10&#xa0;K. The V<sub>TH</sub> of CAVET exhibited excellent thermal stability. The field-effect mobility increased from 1886 cm<sup>2</sup>/(V&#x2219;s) at 296&#xa0;K to 3577 cm<sup>2</sup>/(V&#x2219;s) at 10&#xa0;K, contributing to improved device conductivity. Specifically, I<sub>D,max</sub> increased from 3.66&#xa0;kA/cm<sup>2</sup> to 5.82&#xa0;kA/cm<sup>2</sup>, and R<sub>on,sp</sub> decreased from 1.06&#xa0;m&#x3a9;&#xa0;cm<sup>2</sup> to 0.586&#xa0;m&#x3a9;&#xa0;cm<sup>2</sup>. Additionally, we performed 1-min thermal shock testing to preliminarily evaluate the survivability of trench CAVETs under high-temperature conditions. The device maintained normal functionality after 773&#xa0;K testing with approximately 50% current reduction. Exposure to 1073&#xa0;K caused more significant degradation in both R<sub>on,sp</sub> and gate control. These findings demonstrate the potential of GaN trench CAVETs for applications in extreme temperature environments.</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>XW: Conceptualization, Data curation, Investigation, Methodology, Visualization, Writing &#x2013; original draft, Writing &#x2013; review and editing. KL: Conceptualization, Investigation, Methodology, Writing &#x2013; original draft, Writing &#x2013; review and editing. HK: Conceptualization, Investigation, Methodology, Resources, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review and editing. MN: Conceptualization, Investigation, Methodology, Writing &#x2013; original draft, Writing &#x2013; review and editing. CM: Conceptualization, Investigation, Methodology, Writing &#x2013; original draft, Writing &#x2013; review and editing. SC: Conceptualization, Funding acquisition, Investigation, Methodology, Project administration, Supervision, Writing &#x2013; original draft, Writing &#x2013; review and editing.</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 work is funded by KYOCERA Corporation, Japan. The funder was not involved in the study design, collection, analysis, interpretation of data, the writing of this article, or the decision to submit it for publication.</p>
</sec>
<ack>
<p>We are grateful for the support from KYOCERA Corporation, Japan. The devices were fabricated at the Stanford Nanofabrication Facility (SNF) and the Stanford Nano Shared Facilities (SNSF).</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>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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