Surface electronic properties of clean and S-terminated InSb and 001 111
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Surface electronic properties of clean and S-terminated InSb and 001 111
JOURNAL OF APPLIED PHYSICS 104, 083709 共2008兲 Surface electronic properties of clean and S-terminated InSb„001… and „111…B P. D. C. King, T. D. Veal, M. J. Lowe, and C. F. McConvillea兲 Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom 共Received 27 June 2008; accepted 29 August 2008; published online 24 October 2008兲 The electronic properties of clean and sulfur-terminated surfaces of InSb共001兲 and 共111兲B are investigated using x-ray photoemission spectroscopy and high-resolution electron energy loss spectroscopy. The clean surfaces exhibit upward band bending 共electron depletion兲 consistent with the charge neutrality level in InSb lying at the valence band maximum. The surface Fermi level to valence band maximum separation is increased for the S terminated compared with the clean surface, leading to flat bands and downward band bending 共electron accumulation兲 for the 共001兲 and 共111兲B surfaces, respectively. This is discussed in terms of compensation of native acceptor surface states. © 2008 American Institute of Physics. 关DOI: 10.1063/1.3000567兴 I. INTRODUCTION Following the discovery that the electronic properties of devices can be improved by coating the surface with sulfurcontaining compounds,1 chemical and electronic passivation of III–V semiconductors by sulfur has been intensively investigated. Chemically, sulfur passivation aims to provide and maintain a surface free from atmospheric contaminants. This is important for device applications as the native oxides of III–V materials are generally considered unsuitable dielectrics.2 However, potentially more important is the electronic passivation. The breaking of the translational crystal symmetry at a surface or interface allows evanescent states to exist within the semiconductor band gap.3 These states act to pin the Fermi level at the surface/interface, largely independent of the bulk doping level or the properties of a contact made to the semiconductor. This Fermi level pinning prevents control of the barrier height of metal-semiconductor contacts, and the high density of surface states leads to high surface recombination. Electronic passivation aims to reduce 共ideally to zero兲 the density of surface states within the semiconductor band gap, hence unpinning the surface Fermi level so that it occurs near to the value found in the bulk. Sulfur can be chemisorbed at the surface by treating the samples in aqueous sulfur containing compounds,1,4,5 or in vacuo by gas-based methods,6 ultraviolet photosulphidation,7 or by depositing sulfur from an electrochemical cell.8 The influence of sulfur on the surface electronic properties of III–V materials to date has largely focused on GaAs,9–11 InP,12,13 and InAs.14,15 Due to their small band gaps, InSb and related alloys are favorable materials for use in long wavelength optoelectronic devices. Despite this technological importance, few investigations have been performed into sulfur passivation of these materials. Weiguo16 grew a thick 共⬃300 Å兲 sulphide-oxide film on InSb and reported almost flat-band conditions to result. Ichikawa et al.17 observed a 6–7 monolayer 共ML兲 sulphide layer formed following immersion of InSb in 共NH4兲2Sx solution for 60 min. Annealing a兲 Electronic mail: [email protected]. 0021-8979/2008/104共8兲/083709/8/$23.00 was observed to result in a breaking of Sb–S bonds 共310 ° C兲 and In–S bonds 共400 ° C兲 with a reduction in the unoccupied surface state density for S terminated in comparison to clean InSb inferred from inverse photoemission spectroscopy measurements. In this paper, the surface chemical and electronic properties of InSb共001兲 and 共111兲B surfaces, following initial preparation by atomic hydrogen cleaning 共AHC兲 and after S dosing from an electrochemical cell and various annealing treatments, are investigated. X-ray photoemission spectroscopy 共XPS兲 provides information on the bonding of the sulfur atoms at the surface. High resolution electron energy loss spectroscopy 共HREELS兲 is utilized to investigate the band bending at the surface of the material by probing the variation in near-surface conduction band plasmon energy. For the clean surfaces, depletion layers were found to occur with flat bands 关共001兲 surface兴 and electron accumulation 关共111兲B surface兴 resulting following deposition of sulfur and annealing to break the Sb–S bonds. Upon desorption of all sulfur from the surface, depletion layers were recovered, restoring the upward band bending present for the clean surface prepared by AHC. II. EXPERIMENTAL DETAILS n-type Te-doped InSb共001兲 and undoped InSb共111兲B wafers obtained from Wafertech, U.K. were grown by the Czochralski method and mechanically polished and chemically etched before being loaded into the vacuum chambers. The carrier concentration and electron mobility measured by the single-field Hall effect were 5.3⫻ 1017 cm−3 and 12 800 cm2 V−1 s−1, respectively, for the InSb共001兲 and 1.9⫻ 1016 cm−3 and 49 900 cm2 V−1 s−1, respectively, for the InSb共111兲B samples. Room temperature XPS measurements were performed using a VG Scientific ESCALAB Mk I spectrometer. Al K␣ x-rays of energy h = 1486.6 eV were produced using a nonmonochromated dual anode x-ray source. The ejected photoelectrons were analyzed by a 100 mm mean radius 150° spherical-sector electron energy analyzer. The effective instrumental resolution is ⬃1.1 eV derived from the Gaussian 104, 083709-1 © 2008 American Institute of Physics Downloaded 25 Oct 2008 to 137.205.202.120. Redistribution subject to AIP license or copyright; see http://jap.aip.org/jap/copyright.jsp 083709-2 (a) In 3d5/2 (b) In-Sb O 1s Sb 3d5/2 (c) In-Sb C 1s Sb-In In 3d5/2 (a) (b) Sb 3d5/2 Sb-O Sb-In (d) (e) S-In (f) In-S (c) 447 444 441 534 531 528 525 288 285 282 Binding energy (eV) FIG. 1. In 3d5/2, Sb 3d5/2, and C 1s XPS core level spectra from InSb共001兲 before 关共a兲–共c兲兴 and after 关共d兲–共f兲兴 surface preparation by AHC. The In 3d5/2 and Sb 3d5/2 peaks have been fitted using a Shirley background and Voigt 共mixed Lorentzian–Gaussian兲 line shapes, shown vertically offset for clarity. convolution of the analyzer broadening and the natural linewidth of the x-ray source 共⬃0.85 eV兲. Satellite peaks due to the nonmonochromatic nature of the x-ray source are also observed in the spectra. The predominant satellite observed is from Al K␣3 x-rays, giving rise to an additional peak located at a binding energy of 9.7 eV below each Al K␣1,2 peak with an intensity of 7.3% of that of the main peak.18 This was accounted for in the peak fitting. Room temperature HREELS measurements were performed using a VSW HREELS spectrometer in the specular scattering geometry with incident electron energies in the range of 7–60 eV. The spectrometer consisted of a fixed monochromator and rotatable analyzer, both of the 180° hemispherical deflector design with four-element entrance and exit lens systems. Initial surface preparation was achieved via AHC. The AHC consisted of annealing the sample at ⬃125 ° C under exposure to a 5 kilo-Langmuir 共kL兲 dose of molecular hydrogen passed through a thermal gas cracker with a cracking efficiency of approximately 50%, followed by a further 20 kL hydrogen dose, while the sample was annealed to ⬃200 ° C. XPS core level spectra for as-loaded and AHC treated InSb共001兲 are shown in Fig. 1. Before AHC, two components are required to fit the In 3d5/2 peak, attributed to In–Sb and In–O bondings, in addition to satellite features arising from the In 3d3/2 peak. Three main components were required to fit the Sb 3d5/2 region of the spectrum, attributed to Sb–In and Sb–O bondings, as well as an O 1s core-level component 共⬃531 eV兲, which overlaps the Sb 3d5/2 region of the spectrum. Additionally, a large C 1s peak was observed. Upon AHC, the O- and C-related components are quenched. An electrochemical sulfur cell based on the design of Heegemann et al.19 held at a temperature of ⬃275 ° C was used for deposition of sulfur on the clean InSb共001兲 and 共111兲B surfaces. Dosing times were 30 min. Following dosing, the 共001兲 关共111兲 B兴 sample was annealed successively for 1 h at 200, 300, 350, and 400 ° C 共200, 300, 400, and 450 ° C兲. Intensity (arb. units) Intensity (arb. units) In-O J. Appl. Phys. 104, 083709 共2008兲 King et al. (d) (e) (f) (g) (h) (i) (j) (k) 530 528 526 165 447 444 441 S 2p 162 159 Binding energy (eV) FIG. 2. In 3d5/2, Sb 3d5/2, and S 2p XPS core level spectra from InSb共001兲 after AHC 关共a兲 and 共b兲兴, sulfur dosing and annealing to 300 ° C at normal emission 关共c兲–共e兲兴 and at an emission angle of 30° 关共f兲–共h兲兴, and at normal emission after sulfur dosing and annealing to 400 ° C 关共i兲–共k兲兴. All peaks have been fitted using a Shirley background and Voigt 共mixed Lorentzian– Gaussian兲 line shapes, shown vertically offset for clarity. Peak assignments are indicated by dashed vertical lines. III. RESULTS, ANALYSIS, AND DISCUSSIONS A. InSb„001… Core level XPS spectra from InSb共001兲, following surface preparation by AHC and after S dosing and annealing to 300 and 400°C, are shown in Fig. 2. All peaks have been fitted using a Shirley background and Voigt 共mixed Lorentzian–Gaussian兲 line shapes. After AHC, a single component due to In–Sb bonding was observed in the In 3d5/2 and Sb 3d5/2 core levels at 444.3 and 527.9 eV, respectively. Additionally, satellite peaks due to the In 3d3/2 and Sb 3d3/2 core levels were observed. The lack of oxide or carbon components in the XPS spectra indicates the preparation of a clean surface, as discussed above. HREEL spectra for a variety of incident electron energies from the clean surface are shown in Fig. 3共a兲. The Fuchs–Kliewer surface phonon mode occurs at ⬃23 meV in InSb 共Refs. 20–22兲 and, for the bulk carrier concentration of the InSb共001兲 sample used in this work, a bulk conduction band plasmon frequency of ⬃40 meV would be expected. Due to the proximity of these energies, the phonon and plasmon couple resulting in a plasmaron mode, which is ob- Downloaded 25 Oct 2008 to 137.205.202.120. Redistribution subject to AIP license or copyright; see http://jap.aip.org/jap/copyright.jsp 083709-3 J. Appl. Phys. 104, 083709 共2008兲 King et al. TABLE I. Material parameters 兵zero temperature band gap 共Eg兲 and Varshni parameters 共␣ , 兲, band edge effective mass 共mⴱ0兲, spin-orbit splitting 共⌬so兲, dielectric constants 关共0兲 , 共⬁兲兴, and TO phonon frequency 共TO兲其 for InSb. (a) 60 eV Eg 共0 K兲 共meV兲 Intensity (arb. units) 30 eV 15 eV 7 eV ␣ 共meV/K兲  共K兲 mⴱ0 共m0兲 ⌬so 共meV兲 共0兲 共⬁兲 TO 共meV兲 (b) 60 eV 30 eV 15 eV 7 eV p = 60 eV 15 eV 7 eV 0 25 50 Energy loss (meV) 75 冉 ne2 0共⬁兲具mⴱ共E兲典 100 具mⴱ共E兲典 = FIG. 3. 共Color online兲 InSb共001兲 HREEL spectra 共open circles兲 normalized to the elastic peak intensity after 共a兲 AHC, 共b兲 sulfur dosing and annealing to 350°C, and 共c兲 sulfur dosing and annealing to 400 ° C for a variety of excitation energies as shown in the figure and corresponding semiclassical dielectric theory simulations 共solid lines兲. The spectra for different excitation energies are vertically offset for clarity. 冕 served in the HREEL spectra with a loss energy of ⬃35 meV. A slight dispersion of the plasmaron mode to higher loss energies is observed with increasing incident electron energy, indicating an increase in the carrier concentration with increasing depth below the surface, suggesting the presence of a depletion layer at the surface, as has previously been observed by HREELS at clean InSb共001兲 surfaces.23–25 To obtain a more quantitative analysis of the variation in carrier concentration in the near-surface region, the HREEL spectra were simulated using semiclassical dielectric theory, as developed by Lambin et al.26 A multilayered dielectric function 共DF兲 model is utilized to describe the variation in electronic properties with depth normal to the surface, with the DF of each layer described, in the hydrodynamic model used here by 冋 − 2 关共0兲 − 共⬁兲兴TO 2 共⬁兲关TO − 2 − i⌫兴 册 2p , 2 − 共i/兲 − 2q2 1/2 共2兲 , 共1兲 where q and are the wave vector and frequency of the excitation, 共0兲 关共⬁兲兴 is the static 关high frequency兴 dielectric constant of the material, TO 共⌫兲 is the frequency 共damping兲 of the transverse optical phonon, p 共兲 is the frequency 共lifetime兲 of the conduction band plasmon, and  is the spatial dispersion coefficient. The plasma frequency is related to ⬁ 0 g共E兲mⴱ共E兲f共E兲dE 冕 , ⬁ 共3兲 g共E兲f共E兲dE 0 where g共E兲 is the density of states and f共E兲 is the Fermi– Dirac factor and the momentum effective mass mⴱ共E兲 = ប2k 共q, 兲 = 共⬁兲 1 + 冊 where 具mⴱ共E兲典 denotes the density of states averaged momentum effective mass 30 eV -25 0.336 241 0.0135 810 17.88 15.68 22.9 the carrier concentration, n, and effective mass via (c) -50 235 冏 冏 dE共k兲 dk −1 . 共4兲 The effective mass is energy dependent due to the distinct nonparabolicity of the conduction band, which is described here in the Kane formalism.27 The InSb material parameters used are listed in Table I. A two-layer DF model consisting of a carrier-free layer atop a semi-infinite layer representing the bulk of the semiconductor was found to be sufficient to reproduce the measured HREEL spectra. The dielectric theory simulations resulting from such a two layer model are shown in Fig. 3共a兲 and exhibit good agreement with the experimental HREEL spectra for all excitation energies. The plasma frequency layer profile is converted into a carrier concentration histogram profile, shown in Fig. 4共a兲, using Eqs. 共2兲–共4兲 and consists of a carrier-free layer of 185 Å thickness, followed by a semi-infinite layer of carrier concentration 4.6⫻ 1017 cm−3, very close to the bulk carrier concentration measured by the single field Hall effect. The large thickness of the carrier-free layer required to simulate the HREEL spectra confirms the presence of a depletion layer at the semiconductor surface. Realistic charge profiles calculated by solving Poisson’s equation within a modified Thomas–Fermi approximation 共MTFA兲 共Refs. 28 and 29兲 as described elsewhere30 were compared to the histogram charge profiles in order to determine the band bending, position of the Fermi level at the surface, and the surface state density for the clean InSb共001兲 surface. From this, an upward band bending of 0.15⫾ 0.05 eV is determined at the clean surface, corre- Downloaded 25 Oct 2008 to 137.205.202.120. Redistribution subject to AIP license or copyright; see http://jap.aip.org/jap/copyright.jsp 083709-4 17 -3 n(z) (10 cm ) 6 Atomic Hydrogen Cleaning Sulphur dosing + 350°C anneal Sulphur dosing + 400°C anneal 5 4 3 2 1 0 Energy (eV) J. Appl. Phys. 104, 083709 共2008兲 King et al. (a) (b) (c) (d) (e) (f) 0.0 EF -0.1 CBM -0.2 VBM -0.3 0 200 400 600 0 200 400 600 0 200 400 600 Depth, z (Å) FIG. 4. 共Color online兲 InSb共001兲 carrier concentration histogram profiles used for simulating the HREEL spectra following 共a兲 AHC, 共b兲 sulfur dosing and annealing to 350 ° C, and 共c兲 sulfur dosing and annealing to 400 ° C with the calculated MTFA charge profiles. The corresponding band bending profiles are also shown 关共d兲–共f兲兴. sponding to a surface state density of Nss = 共−9.9⫾ 2.4兲 ⫻ 1011 cm−2, leading to a depletion of electrons at the surface. The charge profile and band bending are shown in Figs. 4共a兲 and 4共d兲. The overriding mechanism driving the depletion of electrons at the surface can be understood within the theory of virtual gap states 共ViGS兲 共Ref. 3兲, evanescent surface states that occur within the band gap region whose wave functions decay exponentially into the vacuum. The ViGS are derived from the bulk band structure and so their character changes from predominantly donorlike close to the valence band to predominantly acceptorlike close to the conduction band. The position where they have equal donor and acceptorlike character is termed the charge neutrality level 共CNL兲 or branch point energy, which is located close to the average midgap energy across the Brillouin zone. Theoretical estimates of the CNL position in InSb range from 0.34 eV below to 0.22 eV above the VBM,2 a range over twice the size of the band gap in InSb. However, the experimental Schottky barrier height of Au on InSb of 0.00 eV relative to the VBM 共Ref. 31兲 and the observed stabilization of the Fermi level at the VBM upon irradiation32 indicate that the CNL lies at the VBM in InSb. If the Fermi level is located above the CNL at the surface, a number of acceptor ViGS will be occupied, and hence negatively charged, although the exact density of acceptor ViGS is specific to a given surface reconstruction and is affected by the presence of any adatoms on the surface. In the presence of a negative surface charge, the bands must bend upward at the surface leading to a depletion of electrons in the near surface region, maintaining charge neutrality—the negatively charged acceptor ViGS are compensated by the background positively charged donor ions in the electron depletion region. From the bulk Fermi level and the upward band bending present, the surface Fermi level is determined to lie 0.11⫾ 0.05 eV above the VBM, and hence below the conduction band minimum 共CBM兲. The depletion layer observed here indicates that the Fermi level at the surface must be pinned slightly above the CNL and is consistent with the CNL lying at the VBM. This rather low location of the CNL relative to the band edges in InSb can be understood by considering the high energy of the Sb 5p atomic orbital, p − d repulsion due to the occupied In 4d orbitals and the large spin-orbit splitting, which all push the p-like VBM to high energies on an absolute energy scale.33 Sulfur was deposited on the clean surface. XPS corelevel spectra 共not shown兲 revealed the formation of In–S and Sb–S bonds, in addition to In–Sb bonds, and also some carbon contamination 共attributed to residual contamination from the electrochemical sulfur source兲. C–H vibrational modes and a broadening of the elastic peak were also observed in HREEL spectra of the S-dosed surface 共not shown兲, indicating some carbon contamination and a reduction in the degree of surface order, respectively, following S dosing. Annealing the sample to 200 ° C resulted in the breaking of Sb–S bonds, revealed by core-level XPS spectra 共not shown兲, although some carbon was still present on the surface. Further annealing to 300 ° C was sufficient to remove this carbon and also resulted in a slight increase in the In:Sb ratio determined from the XPS core levels, attributed to the formation of In–S bonds at the expense of In–Sb bonds at the surface. The XPS core-level spectra following this annealing treatment are shown in Fig. 2. A clear S 2p peak is evident, indicating the presence of S at the surface. The In 3d5/2 core-level peak is well described by two components in addition to satellite features from the In 3d3/2 core-level peak. The lower binding energy component at 444.6 eV is attributed to In–Sb bonding. The higher binding energy component at 445.3 eV is attributed to In–S bonding. The separation of these components is of the order of that previously observed for In–Sb and In–S bondings.34,35 Additionally, the area of the In–S component increases relative to that of the In–Sb component on moving to more grazing 共and hence more surface sensitive兲 emission angles 关Figs. 2共c兲 and 2共f兲兴, supporting the assignment of In–S bonding at the surface. The Sb 3d5/2 peak consists of only a single Sb–In component at 528.3 eV binding energy 共and a satellite of the Sb 3d3/2 peak兲, indicating that no S is bonded to Sb after a 300 ° C anneal. The In–Sb bonding components of the In 3d5/2 and Sb 3d5/2 core-level peaks are shifted to higher binding energies by ⬃0.3 eV following the S dosing and 300 ° C annealing compared with after the AHC treatment. This suggests that the surface Fermi level is located higher above the VBM following the S dosing and annealing than for the clean surface, although accurate quantification of the shift via XPS would require high resolution valence band photoemission to directly determine the VBM to surface Fermi level separation in each case. After a further annealing treatment at 350 ° C, very similar XPS spectra were obtained although the elastic peak of the HREEL spectra showed a reduction in width with successive annealing treatments, indicating an improvement in surface order. The sulfur coverage was estimated as 1.4 ML using the inelastic mean free path of the photoelectrons calculated using the TPP-2M predictive formula of Tanuma et al.36 HREEL spectra following the 350° anneal are shown in Fig. 3共b兲. Very little dispersion is observed in the plasmaron Downloaded 25 Oct 2008 to 137.205.202.120. Redistribution subject to AIP license or copyright; see http://jap.aip.org/jap/copyright.jsp 083709-5 J. Appl. Phys. 104, 083709 共2008兲 King et al. peak as a function of incident electron energy, indicating that the charge profile varies much less in the near surface region than for the clean surface. Three-layer dielectric theory simulations were required to simulate the HREEL spectra. The first layer is a thin 共2 Å兲 carrier-free layer with the dielectric constants modified to represent the differing properties of an InS surface layer. A further 20 Å carrier-free layer 共with InSb properties兲 followed by a semi-infinite InSb layer with a carrier concentration n = 4.87⫻ 1017 cm−3 were required to simulate the spectra. This carrier concentration is slightly higher than the bulk carrier concentration used to simulate the clean surface spectra, and this may be due to a small amount of sulfur diffusing into the subsurface region and acting as an n-type dopant. The carrier-free layer thickness is much smaller than for the clean surface, as shown in Fig. 4, indicating a drastic reduction in the band bending compared with the clean surface. Calculated charge profiles and band bending at the surface for a small band bending of ⫾0.01 eV are shown in Figs. 4共b兲 and 4共e兲, respectively. As the surface acts as an almost infinite potential barrier, the wave functions of the carriers must have zero amplitude at the surface, and hence the carrier concentration tends smoothly to zero, requiring a “dead layer” at the surface regardless of the type of spacecharge layer.3 It is therefore difficult to distinguish between the flat band condition 共where there is no band bending at the surface兲 and small amounts of accumulation or depletion at the surface, as evident from Fig. 4共b兲. However, the band bending is clearly very small in this case resulting in approximately flat band conditions with a band bending at the surface of 0.00⫾ 0.01 eV. Thus, the sulfur effectively passivates the electron depletion. The Fermi level is located significantly higher at the surface 共0.09⫾ 0.01 eV above the CBM兲 and is thus located further above the CNL than for the clean surface. As acceptorlike ViGS are the dominant species above the CNL, this would be expected to lead to a higher density of occupied 共and hence negatively charged兲 ViGS than for the clean surface, and hence a higher 共more negative兲 surface state density resulting in a greater depletion width. However, the band bending is reduced to zero here, resulting in an approximately zero space charge. Two mechanisms are possible to maintain charge neutrality. First, sulfur bonded to indium at the surface acts as a donor donating an electron into the depletion layer, hence reducing the depletion. A positive S ion is therefore left at the surface, which passivates the negative surface charge. Second, the intrinsic surface state distribution may be modified by the dosing of S on the clean surface. A diffuse 共1 ⫻ 1兲 low-energy electron diffraction 共LEED兲 pattern was observed here at 45 eV incident electron energy on the S-terminated surface, which may be a slightly disordered version of the 共2 ⫻ 1兲 surface reconstruction, which has previously been observed on an ammonium sulphide treated InSb共001兲 surface following annealing to 310 ° C.17 This is in contrast to the 共4 ⫻ 2兲 / c共8 ⫻ 2兲 reconstruction commonly observed at clean InSb共001兲 surfaces, which was also observed by LEED here following AHC and following the desorption of all sulfur from the surface. A reduction in the density of unoccupied dangling bond states was reported from inverse photoemission measurements for the 共2 ⫻ 1兲 reconstruction;17 such a change could be partly responsible for the reduction in band bending at the surface of S-terminated InSb共001兲. Further annealing of the sample to 400 ° C breaks the In–S bonds, and the S is completely desorbed from the surface, indicated by the quenching of the S 2p and In–S component of the In 3d XPS core level peaks 关Figs. 2共k兲 and 2共i兲兴. The In–Sb components are also located at very similar binding energies as for the AHC surface 共444.3 and 528.0 eV for the In 3d5/2 and Sb 3d5/2 core levels, respectively兲, suggesting the surface electronic properties are like those of the AHC surface. Indeed, the HREEL spectra following this anneal 关Fig. 3共c兲兴 are very similar to those of the AHC surface and are well simulated assuming a carrier-free layer of thickness 160 Å at the surface and a semi-infinite layer with a carrier concentration n = 5.27⫻ 1017 cm−3. The slightly higher “bulk” carrier concentration compared with after the previous treatments is again attributed to additional subsurface diffusion of S. The slightly smaller depth of the carrierfree layer compared with the AHC surface may also be due to this higher bulk carrier concentration reducing the screening length for the space-charge region. Again, realistic smooth charge profiles were calculated to determine the band bending at the surface, and good agreement with the HREEL histogram charge profile was achieved for an upward band bending of 0.15⫾ 0.05 eV as for the AHC surface, corresponding to a surface state density of 共−10.5⫾ 2.6兲 ⫻ 1011 cm−2, very similar to that of the AHC surface. Once the sulfur is desorbed from the surface, the surface states will no longer be compensated by the sulfur ions, leading to the reformation of a depletion layer as for the AHC surface. Additionally, a 共4 ⫻ 2兲 / c共8 ⫻ 2兲 surface reconstruction was observed by LEED after desorption of the sulfur as for the AHC surface, and so any reconstruction related change in the distribution of intrinsic acceptor surface states between the clean surface and the surface following desorption of the sulfur would not be expected. B. InSb„111…B The chemical nature of the 共111兲B surface after AHC, S dosing, and various annealing stages was very similar to the 共001兲 surface, revealed by core-level XPS measurements 共not shown兲, although In–S bonds remained on the surface with annealing treatments up to 400 ° C. This indicates that the S-terminated surface is slightly more thermally stable for the 共111兲B surface than the 共001兲 surface with a breaking of the In–S bonds and desorption of sulfur from the surface being achieved only after annealing at 450 ° C. After annealing to 400 ° C, the sulfur coverage was estimated to be ⬃2 ML. HREEL spectra for an excitation energy of 10 eV after AHC, S dosing, and annealing to 400 ° C and 450 ° C are shown in Fig. 5. The bulk carrier concentration for the 共111兲B sample was low, resulting in the loss-related features in the HREEL spectra consisting of a shoulder on the elastic peak. The shoulder becomes much more pronounced after S dosing and annealing at 400 ° C, indicating the presence of a higher electron concentration in the near surface region for Downloaded 25 Oct 2008 to 137.205.202.120. Redistribution subject to AIP license or copyright; see http://jap.aip.org/jap/copyright.jsp 083709-6 J. Appl. Phys. 104, 083709 共2008兲 King et al. AHC S-dosed + 400°C anneal S-dosed + 450°C anneal (c) S-dosed + 450°C anneal (b) S-dosed + 400°C anneal 17 -3 n(z) (10 cm ) Intensity (arb. units) 2.0 1.5 1.0 0.5 (a) (a) AHC -50 -25 0 25 50 75 0.0 100 CBM Energy loss (meV) the S-terminated surface, although further qualitative analysis of the HREEL spectra is limited due to the low carrier densities involved. Dielectric theory simulations of the HREEL spectra have been performed for five excitation energies ranging from 8 to 60 eV, enabling quantitative analysis. The HREEL spectra for the clean 共111兲B surface prepared by AHC were well reproduced using a two-layer model: a 160 Å carrier-free layer followed by a semi-infinite layer with a carrier concentration n = 2.4⫻ 1016 cm−3, similar to the bulk carrier concentration determined by the single field Hall effect. Although lower than for the 共001兲 sample, the bulk Fermi level in the 共111兲B sample still lies above the CNL. Consequently, the surface Fermi level will also lie above the CNL and a number of acceptor ViGS will still be occupied, hence negatively charged, leading to an upward bending of the bands and electron depletion at the surface, as for the 共001兲 surface. Poisson-MTFA charge profiles have again been calculated, and those showing the best agreement with the HREELS histogram charge profiles are shown in Fig. 6. For the clean 共111兲B surface, an upward band bending 共surface state density兲 of 0.03⫾ 0.02 eV 共−8.0⫾ 3.6 ⫻ 1010 cm−2兲 has been determined, resulting in the Fermi level at the surface being pinned above the CNL, as required for acceptor ViGS to be occupied. The smaller amount of band bending in the depletion layer observed here than for the 共001兲 sample is predominantly due to the lower bulk Fermi level in this case. Sulfur dosing and annealing to 400 ° C resulted in a S-terminated surface with S–In bonds but no S–Sb bonds present, as identified by XPS measurements. Dielectric theory simulations of the HREEL spectra following this treatment required a four-layer model consisting of a 3 Å InS carrier-free layer, a 15 Å InSb carrier-free 共dead兲 layer, a 225 Å layer of carrier concentration n = 2.3⫻ 1017 cm−3, and a semi-infinite layer of carrier concentration n = 2.4 ⫻ 1016 cm−3. The third layer having a significantly higher carrier density than that of the bulk indicates the presence of an electron accumulation layer at the S–InSb共111兲B surface. Energy (eV) FIG. 5. 共Color online兲 InSb共111兲B HREEL spectra 共open circles兲 normalized to the elastic peak intensity after 共a兲 AHC, 共b兲 sulfur dosing and annealing to 400 ° C, and 共c兲 sulfur dosing and annealing to 450 ° C for an excitation energy of 10 eV and corresponding semiclassical dielectric theory simulations 共solid lines兲. The spectra are vertically offset for different S dosing and annealing treatments for clarity. 0.0 EF -0.1 VBM -0.2 -0.3 (b) 0 300 600 900 1200 Depth, z (Å) FIG. 6. 共Color online兲 共a兲 InSb共111兲B Poisson-MTFA carrier concentration profiles and 共b兲 corresponding band bending profiles following AHC, sulfur dosing and annealing to 400 ° C, and sulfur dosing and annealing to 450 ° C. Comparison of Poisson-MTFA charge profiles with the HREELS histogram charge profile indicates a downward band bending of 0.12⫾ 0.02 eV for the S-terminated InSb共111兲B surface. This pronounced downward band banding results in the Fermi level at the surface being located substantially above the CBM and a large accumulation of electrons in the near surface region as shown in Fig. 6. The absolute shift in the surface Fermi level position between the AHC and S-treated surface after annealing to 400 ° C is similar to that for the 共001兲 surface between AHC and S dosing and annealing to 350 ° C 共⬃0.15 eV兲, suggesting a similar mechanism is responsible for the shift in both cases. Considering the difference in bulk Fermi levels, a similar shift in the surface Fermi level as for the S–InSb共001兲 surface is sufficient to induce a pronounced electron accumulation at the S–InSb共111兲B surface. The Fermi level lies significantly above the CNL at the S-terminated 共111兲B surface suggesting that acceptor ViGS will be occupied and hence negatively charged. These will be compensated by S donors at the surface, as was proposed for the 共001兲 surface. This mechanism is supported by the plasmon lifetime values required in the dielectric theory simulations of the HREEL spectra, which were higher for the clean surface 共both AHC and after sulfur desorption兲 than for the S-terminated surface. This suggests that the presence of the sulfur increases the carrier scattering; the sulfur is charged, acting as an ionized impurity at the surface. The ionized sulfur therefore acts to compensate the acceptor surface states. However, as for the 共001兲 surface, a change in the intrinsic distribution of surface states with surface recon- Downloaded 25 Oct 2008 to 137.205.202.120. Redistribution subject to AIP license or copyright; see http://jap.aip.org/jap/copyright.jsp 083709-7 J. Appl. Phys. 104, 083709 共2008兲 King et al. FIG. 7. 共Color online兲 共a兲 LEED image and 共b兲 inverse image of InSb共111兲B prepared by AHC obtained with an incident electron energy of 43 eV showing a 共冑3 ⫻ 冑3兲R30° reconstruction and 共c兲 LEED image and 共d兲 inverse image of InSb共111兲B after S dosing and annealing to 450 ° C obtained with an incident electron energy of 49 eV showing a 共3 ⫻ 3兲 reconstruction. The red boxes indicate the unit cell. struction for the S-terminated surface cannot be ruled out as a possible cause of some changes in surface Fermi level pinning position. Annealing of the sample to 450 ° C to desorb the sulfur resulted in a depletion layer very similar to that of the AHC surface. A slightly higher bulk Fermi level was required to simulate the HREEL spectra 共2.9⫻ 1016 cm−3 as opposed to 2.4⫻ 1016 cm−3 for the AHC preparation兲, which is attributed to the diffusion of a small amount of sulfur into the near-surface region, acting as an n-type dopant, as was observed for the 共001兲 surface. The HREELS analysis presented above for the 共111兲B surface is consistent with the positions of the XPS core level peaks, which show, as for the 共001兲 surface, a shift of ⬃0.3 eV to higher binding energies for the S terminated compared with the clean surface. This indicates that the VBM to surface Fermi level separation is greater for the S terminated than the clean surface, as found from the analysis of the HREELS spectra. Following preparation of the 共111兲B surface by AHC, a 共冑3 ⫻ 冑3兲R30° reconstruction was observed by LEED, as shown in Fig. 7共a兲. This reconstruction is believed to be Sbrich by analogy with the As-rich GaAs共111兲B 共冑3 ⫻ 冑3兲R30° reconstruction37 and is likely observed here due to the low-temperature AHC procedure used to prepare the clean surface. In contrast, following desorption of sulfur from the surface, a 共3 ⫻ 3兲 reconstruction was observed 关Fig. 7共c兲兴. The very similar surface electronic properties observed for the two different clean-surface reconstructions indicate that the distribution of intrinsic surface states may not be especially sensitive to the surface reconstruction in this case. IV. CONCLUSIONS The clean and sulfur-terminated surfaces of InSb共001兲 and 共111兲B have been investigated using x-ray photoemission spectroscopy and high-resolution electron energy loss spectroscopy. Depletion layers were observed at the clean 共001兲 and 共111兲B surfaces prepared by AHC. This was explained within the theory of ViGS and is consistent with the CNL in InSb lying at the VBM. Dosing with sulfur from an electrochemical cell resulted in In–S and Sb–S bond formation, although after annealing to 350 ° C 共400 ° C兲 for the 共001兲 关共111兲B兴 surface, an ordered S-terminated surface remains with only In–S bonds present. 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