The Effects of Core-level Broadening in Determining Band Alignment at the Epitaxial SrTiO 3 (001)/p-Ge(001) Heterojunction

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1 The Effects of Core-level Broadening in Determining Band Alignment at the Epitaxial SrTiO 3 (001)/p-Ge(001) Heterojunction Scott A. Chambers *,1, Yingge Du 1, Ryan Comes 1,2, Steven R. Spurgeon 1, Peter V. Sushko 1 1 Physical and Computational Sciences Directorate, Pacific Northwest National Laboratory, Richland, WA 99352, USA 2 Present address -- Department of Physics, Auburn University, Auburn AL 36849, USA Chemical effects at the surface and interface can broaden core-level spectra in x-ray photoemission for thin-film heterojunctions, as can electronic charge redistributions. We explore these effects and their influence on the measurement of valence and conduction band offsets at the epitaxial SrTiO 3 (001)/p-Ge(001) heterojunction. We observe clear broadening in Ge 3d and Sr 3d core-level x-ray photoelectron spectra relative to those for clean, bulk Ge(001) and homoepitaxial SrTiO 3 (001), respectively. Angle-resolved measurements indicate that this broadening is driven primarily by chemical shifts associated with surface hydroxylation, with built-in potentials playing only a minor role. The impact of these two interpretations on valence band offset is significant on the scale of transport energetics, amounting to a difference of 0.2 ev. Ge is an attractive semiconductor for visible light harvesting. It has a small, indirect band gap (0.66 ev) and exhibits room-temperature electron and hole mobilities of 3900 and 1900 cm 2 /V-sec, respectively. Ge also has an optical absorption coefficient higher than that of other semiconductors of current interest across the visible portion of the electromagnetic spectrum, and into the infrared. 1 Moreover, based on density functional calculations of idealized interfaces, alignment of the Ge band edges with the half-cell reaction potentials for water electrolysis should be favorable. 2 However, for photoelectrochemical applications, pure Ge is subject to photo-oxidation in aqueous solutions, leading to the formation of secondary phases that could block carrier transport across the solid/solution interface. Controlled passivation by means of a thin oxide film represents a potentially effective way to protect the Ge surface, provided the band alignment is favorable for electron and/or hole propagation to the surface. SrTiO 3 (STO) is reasonably well lattice matched to Ge ( a/a = -2.3%) and represents a good candidate for an epitaxial passivating layer, provided the STO film can be grown without forming unwanted oxides of Ge at the interface. Epitaxial STO/Ge heterojunctions have been prepared for the purpose of investigating the associated electrical properties. Hudait et al. 3 used pulsed laser deposition (PLD) to evaporate epitaxial STO directly on MBE-grown Ge on GaAs(100), (110) and (111). However, GeO x formation occurred for all three orientations. McDaniel et al. 4 demonstrated that STO can be grown epitaxially on Ge(001) without GeO x formation using atomic layer deposition (ALD) by first incorporating a SrGe 2 template layer for oxidation resistance. Jahangir-Moghadam et al. 5 showed that structurally coherent interfaces of SrTi 1-x Zr x O 3 (0.2 x 0.75) and p-ge(001) can be made without GeO 2 formation using molecular beam epitaxy (MBE) by also depositing a SrGe 2 template layer, as was first done for MBEgrown STO on Si(001). 6 The purpose of this paper is two-fold. First, we explore the electronic properties of epitaxial STO on p-ge(001) with an eye toward possible photoelectrochemical applications. A key component of this investigation is determining the band alignment, and the most direct and reliable way to do so is by using a combination of core and valence band binding energies from x-ray photoelectron spectroscopy (XPS), as originally demonstrated by Kraut et al. 7,8 Second, we discuss the nuances that can result from carrying out XPS measurements with high energy resolution to determine band offsets. We show that core-level peak broadening occurs as a result of heterointerface formation and we consider two possible causes: (i) the presence of built-in potential drops, 9 and, (ii) surface and interface chemical shifts. The choice of cause, and subsequent modeling, has a measureable effect on the resulting band offsets. SrTiO 3 epitaxial films were deposited on clean p-ge(001) substrates using MBE and were characterized by in situ highenergy-resolution XPS. In Fig. 1 we present high-angle annular dark field (HAADF) scanning transmission electron micrographs (STEM) of an STO/Ge(001) heterojunction at two lengths scales, along with a structural model showing the interface registration suggested by the STEM images. Although the exact structure is not known, it appears that Ge atoms in the terminal substrate layer are directly adjacent to either Sr or O in the interfacial STO layer. Either of these atomic arrangements will give rise to an interfacial electronic structure different than that found in bulk Ge, leading to Ge core-level binding energies slightly different than those found in deeper layers. This effect will cause some level of peak associated broadening. Fig. 2 shows XPS results for a representative 5 unit cell (u.c.) STO/p-Ge(001) heterojunction measured at normal emission. The Ti 2p line shape (Fig. 2a) reveals the presence of Ti 4+, with no measureable intensity at lower binding energies that would indicate Ti 3+. The Sr 3d spin-orbit (SO) doublet (Fig. 2b) is broader than what we measure for pure STO. We fit this spectrum using two pairs of doublets, one more intense at lower binding energy corresponding to lattice Sr, and one less intense at higher binding energy corresponding to surface bound Sr(OH) x, as explained in more detail below. The Ge 3d spectrum (Fig. 2c) consists of a partially resolved SO doublet, 10 slightly broader than that of pure Ge, and yields no evidence for any measurable quantity of GeO x. If present, GeO x would result in photoemission intensity ~1-3 ev higher in binding energy from the lattice Ge peaks. The Ga acceptor level in bulk Ge is ev above the valence band maximum (VBM). 1 Consistent with this, VB spectra for clean p-ge(001) result in the VBM being a few tens of mev below the Fermi level. Moreover, back-to-back measurements of the VB and Ge 3d core level allow the latter to be accurately referenced to the former. This measurement in turn allows us to assess changes in band bending upon interface formation. Doing so, we find that the Ge 3d 5/2 binding energy increases by 0.1 to 0.25 ev 1

2 after heterojunction formation, indicating downward band bending. The VB spectrum (Fig. 2d) contains contributions from both Ge and STO and can be used to determine the valence band offset (VBO). 11 The upper region of the heterojunction VB spectrum (0 to ~3 ev) consists entirely of Ge 3s and 3p contributions whereas the region from ~3 ev to ~10 ev is dominated by O 2p contributions from STO. Knowing the energies of the core orbitals relative to the VB maxima (E CL - E V ) for the two pure materials, we can use the core-level binding energies for the heterojunction to accurately position the pure Ge and pure STO VB spectra relative to the Fermi level. Upon weighting these spectra to account for the heterojunction structure, we sum the two and compare this model spectrum to that for the actual heterojunction. As seen in Fig. 2d, the model spectrum (red) overlaps the measured spectrum very well, particularly along the leading (0-1 ev) and trailing (7 9 ev) edges, allowing the VBO to be accurately determined. From this procedure, we find that the VBMs for the Ge and STO reference spectra are 0.3 ev and 3.3 ev, respectively, leading to a VBO of 3.0 ev. We obtain the same VBO value from the core-level binding energies and the E CL-VB values. Specifically, we determine VBOs of 3.11(8) ev and 2.94(8) ev from lattice Sr 3d 5/2 and Ti 2p 3/2, respectively, yielding an average value of 3.0(1) ev. This value differs substantially from that determined earlier using PLD-grown films (VBO = 2.4 ev) 3, possibly because of the presence of GeO x at the interfaces presented in ref. 3, and also from that measured on ALD-grown heterojunctions (VBO = 2.7 ev). 4 Implicit in this analysis is the assumption that the bands are flat throughout the XPS probe depth. However, we consistently find that the core-level line shapes are slightly broader for the heterojunctions than they are for reference surfaces of the constituent pure materials. In Fig. 3a & b we show a direct comparison of Ge 3d and Sr 3d spectra for a representative heterojunction with those for clean, near flat-band surfaces of p-ge(001) and TiO 2 -terminated homoepitaxial STO(001). Broadening is revealed in both heterojunction spectra by a filling in of the valley between the two spin orbit (SO) components. There are two conceivable causes for the broadening: built-in potential drops on both sides of the interface and chemical shifts at the surface and/or interface. We first consider built-in potential drops. If a potential drop is present in the Ge within the XPS probe depth (~5 nm below the surface), the Ge 3d line shape would be broadened as Ge atoms in each atomic layer are at a slightly different potential. We have tested several different values of potential drop in the Ge. A VBM change of 0.02 ev per layer, running from 0.25 ev below E F at the interface to 0.01 ev below E F in the 13 th layer below the interface, results in the best match to experiment, and is shown in Fig. 3c. We assigned the clean Ge 3d line shape (blue spectrum in Fig. 3a) to each Ge layer down to a depth of 5 nm below the surface, with a shift of 0.02 ev relative to the layer above it and intensities weighted according to depth. Likewise, we consider that a built-in potential drop with the same sign as that modeled for the Ge may also be present in the STO film. We assign the Sr 3d line shape from homoepitaxial STO (blue spectrum in Fig. 3b) to each of the five AO layers, weighted according to depth, and shifted to give the best match to experiment. The optimum value is 0.1 ev per u.c., as seen in Fig. 3d. The simulated spectrum (red) reproduces the overall 2 width, as well as the depth of the SO valley. In this model, the VBO is determined by the binding energy difference between the Ge and SrO layers directly at the interface, rather than those associated with an average over all layers within the probe depth, as discussed in conjunction with Fig. 2. The VBO resulting from this interpretation of the data is 2.8(1) ev. Fig. 4 compares the energy diagrams resulting from these two ways of interpreting the broadening. In Fig. 4a, we assume that the Ge band bending is negligible within the XPS probe depth which is reasonable in light of the small dielectric constant of Ge. We also assume a constant potential for all layers within the STO film. Using the indirect gap for STO (3.25 ev), 12 the conduction band offset (CBO) becomes 0.4(1) ev. In contrast, the spectral interpretation shown in Figs. 3c & d leads to downward band bending in both Ge and STO as shown in Fig. 4b, with a CBO of 0.2(1) ev. In modeling built-in potential drops, we have assumed that the sign of the potential gradient is that same on both sides of the interface, as required by Poisson s equation for a semiconductor heterojunction. If instead we think of the STO layer as an insulator, the built-in potential drop within the STO layer could be due to the presence of fixed positive charge. In this case, the sign of the potential gradient could be either positive or negative, depending on the distribution of the fixed charge within the film. In order to investigate this possibility, we modeled the Sr 3d spectrum using a built-in potential drop of opposite sign to that shown in Fig. 4b. Interestingly, we obtained as good a match using the same magnitude as in Fig. 4b (0.1 ev/u.c.), but with the band energy decreasing from the interface to the surface. To further probe this ambiguity, we measured core-level spectra at a very shallow take-off angle ( t = 10 o ) to enhance the signal from the film surface. Spectra obtained at t = 10 o should exhibit slightly narrower line shapes, as well as different binding energies than those collected at t = 90 o, depending on the sign and magnitude of the potential drop. However, as seen in Fig. 5a, the low-angle Sr 3d spectrum is markedly broader and highly asymmetric compared to the normal emission spectrum, clearly indicating the presence of a second, weaker unresolved SO doublet which is not obvious in the normal emission spectrum. In addition, the Sr 3d 5/2 peak maximum, which is dominated by lattice Sr, is shifted to lower binding energy by 0.13 ev in the more surface sensitive spectrum, consistent with a small potential gradient within the film of sign opposite to that depicted in Fig. 4b. The O 1s spectra (Fig. 5b) also show a second weaker feature shifted by ~0.2 ev to higher binding energy from the lattice peak at ev. The intensity of this feature is enhanced relative to the lattice peak at low take-off angle, indicating that it originates from a surface bound species, most likely Sr(OH) x. The SrO-terminated domains of STO are quite reactive toward trace amounts of residual water vapor in the UHV environment. Moreover, Sr(OH) x exhibits Sr 3d binding energies higher than those of STO. We thus conclude that the asymmetry seen in the Sr 3d spectra (Fig. 5a) is due to the formation of Sr(OH) x, resulting from the film surface reacting with residual water vapor. Indeed, as seen in Figs. 5d & 2b, the Sr 3d spectra at t = 10 o and 90 o can be fit with two SO doublets, one for the lattice (green), and one for surface bound Sr(OH) x (brown) shifted by ~0.8 ev to higher binding energy relative to the lattice peaks. The two Ti 2p 3/2 spectra (Fig. 5c) have very nearly the same line shape, but the low-angle spectrum is shifted 0.15 ev to lower binding energy relative to

3 the high-angle spectrum. The small, unidirectional shifts in the Sr 3d and Ti 2p 3/2 spectra suggests the presence of a very small (~0.1 ev) band energy increase within the STO film as the surface is approached. However, the Sr 3d broadening is dominated by the formation of Sr(OH) x on the surface, and modeling it in terms of a larger built-in potential drop, as shown in Fig. 3d, is incorrect. It is more accurate to use the lattice Sr3d 5/2 binding energy averaged over all layers below the surface to determine the VBO. Finally, we consider the origin of the broadening seen in the Ge 3d spectrum. Due to the depth of the Ge below the surface (~2 nm), we cannot measure the Ge 3d spectrum at grazing emission to compare the normal emission spectra, as we did with Sr 3d. Moreover, we note that Ge 3d broadening does not occur until we deposit the STO; it is not triggered by the 0.5 ML Sr deposition used to generate the SrGe 2 layer. The Ge 3d line shapes for the clean surface and the surface with 0.5 ML Sr are virtually identical. Therefore, we cannot determine with the data at hand if the slight broadening measured in the Ge 3d after STO deposition is due to a built-in potential drop or an interface chemical shift. Nevertheless, whether the Ge 3d broadening is caused by band bending or an interface-induced energy shift, or some combination thereof, the heterojunction band alignment is more accurately represented by Fig. 4a than by Fig. 4b. In summary, we have determined band alignment at the epitaxial SrTiO 3 (001)/p-Ge(001) heterojunction and have probed the effects of XPS core-level peak broadening on the valence band offset values extracted from these spectra. This broadening could be due to either the presence of unique electronic structures directly at the surface and interface, or the presence of built-in potential drops throughout the film and below the buried interface. Angle-resolved measurements show that the observed Sr 3d broadening is due to chemical shifts in the surface layer resulting from Sr(OH) x formation due to interaction of the film surface with residual water vapor. The band alignment is thus most accurately determined by modeling the STO film as being essentially flat band. In this interpretation, the VBO and CBO are 3.0(1) ev and 0.4(1) ev, respectively. The Ge/STO heterojunction thus forms a staggered (type II) band alignment. As a result, STO films on p-ge(001) generate no impediment for electron migration to the surface following electron-hole pair formation in the Ge. Therefore, p-ge passivated with a thin film of STO should be an effective photocathode for the hydrogen evolution reaction in photoelectrochemical applications. SUPPLEMENTARY MATERIAL See supplemental material for information on Ge surface preparation, MBE film growth of STO, STEM imaging and analysis of the photoemission data. ACKNOWLEDGEMENTS The authors are indebted to Drs. Tiffany Kaspar and Kelsey Stoerzinger, and to Prof. Joseph Ngai, for helpful discussions. S.R.S. thanks Dr. Colin Ophus for help with the lattice averaging script. This work was supported by the U.S. Department of Energy, Office of Science, Division of Materials Sciences and Engineering under Award # The PNNL work was performed in the Environmental Molecular Sciences Laboratory, a national scientific user facility sponsored by the Department of Energy s Office of Biological and Environmental Research and located at PNNL. *Author to whom correspondence should be addressed. Electronic address: sa.chambers@pnnl.gov 1 S. M. Sze, Physics of Semiconductor Devices (John Wiley and Sons, 1981). 2 S. Y. Chen and L. W. Wang, Chem. Mater. 24, 3659 (2012). 3 M. K. Hudait, M. Clavel, Y. Zhu, P. S. Goley, S. Kundu, D. Maurya, S. Priya, ACS Appl. Mater. Interfaces 7, 5471 (2015). 4 M. D. McDaniel, T. Q. Ngo, A. Posadas, C. Q. Hu, S. R. Lu, D. J. Smith, E. T. Yu, A. A. Demkov, J. G. Ekerdt, Adv. Mater. Int. 1, (2014). 5 M. Jahangir-Moghadam, K. Ahmadi-Majlan, X. Shen, T. Droubay, M. Bowden, M. Chrysler, D. Su, S. A. Chambers, J. H. Ngai, Adv. Mater. Int. 2, (2015). 6 R. A. McKee, F. J. Walker, M. F. Chisholm, Phys. Rev. Lett. 81, 3014 (1998). 7 E. A. Kraut, R. W. Grant, J. R. Waldrop, S. P. Kowalczyk, Phys. Rev. Lett. 44, 1620 (1980). 8 E. A. Kraut, R. W. Grant, J. R. Waldrop, S. P. Kowalczyk, Phys. Rev. B 28, 1965 (1983). 9 S. A. Chambers, L. Qiao, T. C. Droubay, T. C. Kaspar, B. Arey, P. V. Sushko, Phys. Rev. Lett. 107, (2011). 10 E. Landemark, C. J. Karlsson, L. S. O. Johansson, R. I. G. Uhrberg, Phys. Rev. B 49, (1994). 11 S. A. Chambers, Y. Liang, Z. Yu, R. Droopad, J. Ramdani, K. Eisenbeiser, Appl. Phys. Lett. 77, 1662 (2000). 12 K. van Bentham, C. Elsasser, R. H. French, J. Appl. Phys. 90, 6156 (2001). FIG. 1. (Color online) (Left) Lattice-averaged and driftcorrected STEM-HAADF image of the STO/Ge(001) interface. (Middle) Detail of the interface. (Right) Approximate structural model for the STO/p-Ge(001) heterojunction. FIG. 2. (Color online) Core-level and valence band XPS for 5 u.c. STO/p-Ge(001). In a-c, the green and brown curves are Voigt functions fit to the raw spectra and the red curves are the sums of the individual Voigt functions. In d, the measured spectrum is well matched to a model spectrum (red) made by adding spectra for pure Ge (brown) and pure STO (green), appropriately weighted and shifted to reflect the physical structure and the band energies as determined from the corelevel binding energies. FIG. 3. (Color online) Comparison of Ge 3d (a) and Sr 3d (b) spectra for 5 u.c. STO/p-Ge(001) (red) with those for clean p- Ge(001) (blue) and homoepitaxial STO(001) (blue). Overlays of the Ge 3d (c) and Sr 3d (d) heterojunction spectra (blue dots) with models (red curves) in which built-in potential drops of 0.02 ev/atomic layer for Ge and 0.1 ev per u.c. for STO were assumed. FIG. 4. (Color online) Energy diagrams resulting from the analysis of core-level and valence band spectra for 5 u.c. STO/p-Ge(001) assuming constant potentials on both sides of 3

4 the interface (a), and upon modeling built-in potential drops, as shown in Figs. 3 c & d (b). FIG. 5. (Color online) Sr 3d (a), O 1s (b) and Ti 2p 3/2 (c) corelevel spectra measured at take-off angles ( t ) of 90 o (red) and 10 o (blue). Sr 3d spectra with fits measured at t = 10 o (d). 4

5 [001] [110] Ti O Sr Ge 1 nm 0.5 nm

6 (a) Ti 2p (b) Sr 3d (c) Ge 3d (d) VB Binding Energy Relative to Fermi level (ev)

7 (a) Ge 3d (b) Sr 3d Relative Binding Energy (ev) (c) Ge 3d (d) Sr 3d Binding Energy Relative to Fermi level (ev)

8 Band Energy (ev) (a) 0.66 ev (b) 0.66 ev Ge 3.0(1) ev 2.8(1) ev 0.4(1) ev 3.25 ev STO 0.2(1) ev 3.25 ev depth below the surface (Å)

9 (a) Sr 3d (b) O 1s (c) Ti 2p 3/2 (d) Sr 3d at θ t = 10 o Binding Energy Relative to Fermi level (ev)

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