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			<titleStmt><title level='a'>Al Composition Dependence of Band Offsets for SiO &lt;sub&gt;2&lt;/sub&gt; on α-(Al &lt;sub&gt;x&lt;/sub&gt; Ga &lt;sub&gt;1−x&lt;/sub&gt; ) &lt;sub&gt;2&lt;/sub&gt; O &lt;sub&gt;3&lt;/sub&gt;</title></titleStmt>
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				<publisher></publisher>
				<date>11/01/2021</date>
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				<bibl> 
					<idno type="par_id">10323118</idno>
					<idno type="doi">10.1149/2162-8777/ac39a8</idno>
					<title level='j'>ECS Journal of Solid State Science and Technology</title>
<idno>2162-8769</idno>
<biblScope unit="volume">10</biblScope>
<biblScope unit="issue">11</biblScope>					

					<author>Xinyi Xia</author><author>Chaker Fares</author><author>Fan Ren</author><author>Anna Hassa</author><author>Holger von Wenckstern</author><author>Marius Grundmann</author><author>S. J. Pearton</author>
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			<abstract><ab><![CDATA[Valence band offsets for SiO              2              deposited by Atomic Layer Deposition on              α              -(Al              x              Ga              1-x              )              2              O              3              alloys with x = 0.26–0.74 were measured by X-ray Photoelectron Spectroscopy. The samples were grown with a continuous composition spread to enable investigations of the band alignment as a function of the alloy composition. From measurement of the core levels in the alloys, the bandgaps were determined to range from 5.8 eV (x = 0.26) to 7 eV (x = 0.74). These are consistent with previous measurements by transmission spectroscopy. The valence band offsets of SiO              2              with these alloys of different composition were, respectively, were −1.2 eV for x = 0.26, −0.2 eV for x = 0.42, 0.2 eV for x = 0.58 and 0.4 eV for x = 0.74. All of these band offsets are too low for most device applications. Given the bandgap of the SiO              2              was 8.7 eV, this led to conduction band offsets of 4.1 eV (x = 0.26) to 1.3 eV (x = 0.74). The band alignments were of the desired nested configuration for x > 0.5, but at lower Al contents the conduction band offsets were negative, with a staggered band alignment. This shows the challenge of finding appropriate dielectrics for this ultra-wide bandgap semiconductor system.]]></ab></abstract>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head>Introduction</head><p>(AlxGa1-x )2O3 is an ultra-wide bandgap semiconductor that is attracting attention for use in high power transistors and deep ultraviolet (DUV) photodetectors <ref type="bibr">(1)</ref><ref type="bibr">(2)</ref><ref type="bibr">(3)</ref><ref type="bibr">(4)</ref> . To this point, most of the work has focused on the &#946;-polytype with a bandgap tunability ranging from 4.8 eV (Ga2O3) to 8.7 eV (Al2O3) <ref type="bibr">(1,</ref><ref type="bibr">2)</ref> . The advantages of &#946;-(AlxGa1-x)2O3 grown on &#946;-Ga2O3 include the high channel mobility at the interface and ability to use the heterostructure in field effect transistor structures with improved mobility, as well as Schottky diodes and photodetectors <ref type="bibr">(1,</ref><ref type="bibr">2)</ref> . A drawback of this materials system during growth with techniques such as Metal Organic Chemical Vapor Deposition is the difficulty in maintain phase stability at high Al contents <ref type="bibr">(1)</ref> .</p><p>The &#945;-polytype is a potential solution to extending the stability to higher Al contents and higher temperatures <ref type="bibr">(2)</ref><ref type="bibr">(3)</ref><ref type="bibr">(4)</ref><ref type="bibr">(5)</ref><ref type="bibr">(6)</ref><ref type="bibr">(7)</ref><ref type="bibr">(8)</ref><ref type="bibr">(9)</ref><ref type="bibr">(10)</ref><ref type="bibr">(11)</ref><ref type="bibr">(12)</ref> . This metastable, corundum crystal structure &#945;-polytype, transforms to the &#946;polymorph at temperatures above 750-900&#176;C under equilibrium conditions <ref type="bibr">(5)</ref> . Of all reported polymorphs, this phase has the highest optical bandgap with energies ranging between 5.0 eV and 5.3 eV for the binary. A number of different growth methods have recently been shown to produce high quality rhombohedral &#945;-AlxGa1-x)2O3 over a broad composition range  and in particular, the use of Al2O3 cap layers during annealing is able to preserve the &#945;-phase <ref type="bibr">(16)</ref> . The &#945;-polytype has an even larger bandgap than the &#946;-polytype and can be grown on low-cost c-plane sapphire substrates which have the same lattice structure, albeit with relatively high dislocation densities <ref type="bibr">(2,</ref><ref type="bibr">19,</ref><ref type="bibr">22,</ref><ref type="bibr">43)</ref> . Figure <ref type="figure">1</ref> shows the crystal structure of rhombohedral &#945;-Ga2O3. This rhombohedral phase can also occur for Al2O3 and In2O3, which allows a potential bandgap engineering over the entire composition range <ref type="bibr">(34,</ref><ref type="bibr">45,</ref><ref type="bibr">46)</ref> , rendering this polymorph interesting for deep UV photodetectors or quantum-well infrared photodetectors <ref type="bibr">(1,</ref><ref type="bibr">2)</ref> , in addition to the power device applications <ref type="bibr">(35)</ref><ref type="bibr">(36)</ref><ref type="bibr">(37)</ref> .</p><p>It is clearly of interest to establish the band alignments for commonly employed dielectrics on this materials system. SiO2 is one of the most promising choices, due to its large bandgap and maturity as a dielectric in semiconductor devices. We have previously measured the band alignment and its thermal stability for SiO2 and Al2O on &#946;-AlxGa1-x)2O3 for 0.2&lt; x &lt;0.65 (51,52)   . In this paper we report on the measurement of valence band offsets in the SiO2/&#945;-AlxGa1x)2O3 system using alloys grown by Pulsed Laser Deposition (PLD) <ref type="bibr">(49,</ref><ref type="bibr">50)</ref> over a wide composition range. This was done using circular half-segmented (Ga2O3/Al2O3) ceramic targets to synthesize large diameter large thin films with a lateral varying cation composition <ref type="bibr">(1,</ref><ref type="bibr">7,</ref><ref type="bibr">8,</ref><ref type="bibr">45,</ref><ref type="bibr">46)</ref> .</p><p>Since the bandgap of the &#945;-polytype alloys is even larger than those of the &#946;-polytype alloys, this system represents a test in terms of finding dielectrics that exhibit acceptable band offsets (&gt; 1eV is a common rule of thumb) in both the conduction and valence bands.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Experimental</head><p>The &#945;-AlxGa1-x)2O3 alloys were grown by combinatorial PLD using a KrF excimer laser (Coherent LPX Pro 305, 248 nm, 2.6 J.cm -2 ) directed through a quartz window onto a segmented ceramic target (Ga2O3/Al2O3) under an O2 partial pressure <ref type="bibr">(1,</ref><ref type="bibr">49,</ref><ref type="bibr">50)</ref> . The substrate and target were mounted rotatable opposite each other at a distance of 10 cm and with a small lateral offset to each other <ref type="bibr">(46)</ref> . PLD has been utilized previously to obtain AGO alloys over a broad composition range for both &#945;and &#946;-polytypes <ref type="bibr">(8,</ref><ref type="bibr">20,</ref><ref type="bibr">40)</ref> The resulting cation ratio was determined by energy dispersive X-ray spectroscopy (EDX) measurements performed using a FEI Nova Nanolab 200 equipped with an Ametek EDAX detector and the crystal structure by X-ray diffraction (XRD). measured by a PANalytical X'pert PRO MRD diffractometer equipped with a PIXcel3D detector operating in 1D scanning line mode with 255 channels (for 2&#415;-&#969; scans), receiving slit mode (for &#934;-scans) and fast 2D frame based mode (for reciprocal space maps). The cation gradient ranged between x= 0.13 and x=0.84 as measured by EDX and marked as black dots in Figure <ref type="figure">2(a)</ref>. The composition between these data points was interpolated and the resulting cation ratio represented as false color map. Along the cation gradient direction, marked with a black arrow, additional EDX measurements were performed in 1mm steps to obtain the spatial Al dependence with high lateral resolution as shown in Figure <ref type="figure">2</ref>(b) <ref type="bibr">(20)</ref> . The Al incorporation covers a range of 0.13 &#8804; x &#8804; 0.84. The rhombohedral crystal structure of the thin films was confirmed by the 2&#415;-&#969; XRD scans. The resulting false color map is presented in Figure <ref type="figure">3</ref> and reveals the crystallization in the rhombohedral phase in the entire investigated Al range. We examined four compositions, x=0.26, 0.42, 0.58 and 0.74. More details and discussion on the characterization of these samples can be found in Hassa et al. <ref type="bibr">(20)</ref> . The SiO2 layers were deposited by Atomic Layer Deposition (ALD) at 200&#176;C using the thermal mode in a Cambridge Nano Fiji 200. The precursors were Tris (dimethylamino) silane and an inductively coupled plasma (ICP) of O2 at 300 W <ref type="bibr">(51,</ref><ref type="bibr">52)</ref> . After solvent cleaning, the substrates were exposed to Ozone for 15 min to form a protective oxide that is easily thermally desorbed during the ALD step. Both thick (200 nm) and thin (1.5 nm) layers of SiO2 were deposited for measuring bandgaps and core levels on the &#945;-(AlxGa1-x)2O3.</p><p>XPS survey scans were performed to measure the chemical state of the SiO2 and (AlxGa1x)2O3 layers in a Physical Instruments ULVAC PHI, with an Al x-ray source (energy 1486.6 eV, source power 300W) <ref type="bibr">(51)</ref><ref type="bibr">(52)</ref><ref type="bibr">(53)</ref> . The analysis size was 100 &#181;m diameter, with a take-off angle of 50&#176; and acceptance angle of &#177;7 degrees. The electron pass energy was 23.5 eV for high-resolution scans and 93.5 eV for survey scans. The total energy resolution of this XPS system is 0.5 eV, and the accuracy of the observed binding energy is ~ 0.03 eV. Charge compensation was performed using an electron flood gun and simultaneous ion beam. The C 1s core levels of the surface adsorbate (284.8 eV) were used to calibrate the binding energy <ref type="bibr">(53)</ref> . Only the relative energy position is needed to determine the valence band offsets, so the absolute energy calibration has no effect on that offset. The samples were electrically insulated from the chuck to avoid uneven charge dispersion along the sample. All electron analyzers and equipment were grounded. Differential charging was not observed in any of the samples with the use of the electron gun (51,52)   . The SiO2 bandgap was obtained from Reflection Electron Energy Loss Spectroscopy (REELS) using a 1 kV electron beam and hemispherical electron analyzer. The bandgaps of the (AlxGa1-x)2O3 for each composition were obtained from XPS energy loss measurements of the O1S peak. This is done simultaneously with the band alignment measurements <ref type="bibr">(52,</ref><ref type="bibr">53)</ref> .</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Results and Discussion</head><p>Figure <ref type="figure">4</ref> shows the high resolution XPS spectra for the &#945;-(AlxGa1-x)2O3 to SiO2 vacuumcore delta regions of the four compositions, while the data for the SiO2 is shown in Figure <ref type="figure">5</ref>. The valence band offsets were extracted from the shift of the core levels for the heterostructure samples with the thin dielectric on top of the four different compositions of the alloy. A compilation of the valence band maxima (VBM) are collected in Table <ref type="table">1</ref>, with values of (2.7&#177;0.15) eV for x=0.26, (3.3&#177;0.15) eV for x=0.42, (4.4&#177;0.15)eV for x=0.58 and (4.5&#177;0.15) eV for x=0.74. These were obtained by fitting of the leading edge of the valence band. The error bars in the different binding energies were combined in a root sum square relationship to determine the overall error bars in the valence band offsets (&#916;EV) <ref type="bibr">(51)</ref> . These band offsets are then obtained by measuring the shift of the core levels in the &#945;-(AlxGa1-x)2O3 when SiO2 was deposited. These are also tabulated in Table <ref type="table">1</ref>, with values of -1.2 eV for x=0.26, -0.2 eV for x=0.42, 0.2 eV for x=0.58 and 0.4 eV for x=0.74.</p><p>Once the valence band offsets are established, to determine the conduction band offset, it is necessary to measure the band gap of each composition. We measured the bandgaps of the four (AlxGa1-x)2O3 compositions, as shown in Figure <ref type="figure">6</ref> (a), from the separation between the core level peak energy and the onset of inelastic (plasmon) losses in each O 1s photoemission spectra (36)   . To find the band-gap energy, a linear fit is made to the measured loss spectra curve near the approximate location of onset of inelastic losses. Next, by subtracting the background, the "zero" level is determined. The energy corresponding to the onset of inelastic losses is found by extrapolating the linear-fit line and calculating its intersection with the "zero" level <ref type="bibr">(33,</ref><ref type="bibr">40)</ref> . The bandgap energy is equal to the difference between the core-level peak energy and the onset of inelastic losses.</p><p>The bandgap energies were determined as 5.8 eV for x=0.26, 6.1 eV for x=0.42, 6.4 eV for x=0.58 and 7 eV for x= 0.74, respectively. Figure <ref type="figure">7</ref> shows the relationship between bandgap of the alloys and Al composition for our samples. As previously reported, the bandgap as a function of composition, x, is given by <ref type="bibr">(28,</ref><ref type="bibr">54)</ref> &#119864;&#119864; &#119866;&#119866; (&#119909;&#119909;) = (1 -&#119909;&#119909;)&#119864;&#119864; &#119866;&#119866; &#119866;&#119866;&#119866;&#119866;&#119866;&#119866; + &#119909;&#119909;&#119864;&#119864; &#119866;&#119866; &#119860;&#119860;&#119860;&#119860;&#119866;&#119866; -&#119887;&#119887;&#119909;&#119909; (1 -&#119909;&#119909;)</p><p>where EG GaO and EG AlO are the bandgaps of the &#945;-polytype binary endpoints and b is the bowing parameter. This has been previously reported in the range 0.84-2.13 <ref type="bibr">(9,</ref><ref type="bibr">34)</ref> . We get a value closer to 3 for our samples in the composition range measured. It was noted by Varley <ref type="bibr">(53)</ref> that the b values are strongly influenced by the selective occupation of different cation sublattice by Al and that a single bowing parameter is not accurate over the entire composition range</p><p>The SiO2 bandgap was obtained from Reflection Electron Energy Loss Spectroscopy (REELS) and showed a value of 8.7 eV, similar to previous reports <ref type="bibr">(51,</ref><ref type="bibr">52)</ref> .</p><p>The conduction band offsets &#916;EC were obtained from the relation</p><p>The corresponding conduction band offsets were 4.1 eV (x=0.26), 2.8 eV (x=0.46), 2.1 eV (x=0.58) and 1.30 eV (x=0.74).</p><p>Figure <ref type="figure">7</ref> shows the band diagrams for the SiO2/&#945;(AlxGa1-x)2O3 heterostructure. The SiO2 has adequate conduction band offsets, but the valence band offsets are small and actually negative at </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Summary and Conclusions</head><p>The valence band offsets of SiO2/ &#945;-(         </p><note type="other">Figure Captions</note></div></body>
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