Acoustic deformation potentials and heterostructure band offsets in semiconductors.

It is argued that the absolute hydrostatic deformation potentials recently calculated for tetrahedral semiconductors with the linear muffin-tin-orbital method must be screened by the dielectric response of the material before using them to calculate electron-phonon interaction. This screening can be estimated by using the midpoint of an average dielectric gap evaluated at special (Baldereschi) points of the band structure. This dielectric midgap energy (DME) is related to the charge-neutrality point introduced by Tejedor and Flores, and also by Tersoff, to evaluate band offsets in heterojunctions and Schottky-barrier heights. We tabulate band offsets obtained with this method for several heterojunctions and compare them with other experimental and theoretical results. The DME’s are tabulated and compared with those of Tersoff’s charge-neutrality points.

[1]  E. A. Kraut,et al.  Valence-band discontinuities for abrupt (110), (100), and (111) oriented Ge-GaAs heterojunctions , 1983 .

[2]  J. Woicik,et al.  Heterojunction band discontinuity at the Si–Ge(111) interface , 1985 .

[3]  W. Frensley,et al.  Theory of the energy-band lineup at an abrupt semiconductor heterojunction , 1977 .

[4]  R. Martin,et al.  Theoretical calculations of semiconductor heterojunction discontinuities , 1986 .

[5]  Olego,et al.  Optical investigation of hole and electron subbands in HgTe-CdTe superlattices. , 1985, Physical review letters.

[6]  I. Yokota Lattice Distorsion around Charged Impurity in Semiconductors , 1964 .

[7]  P. B. Allen,et al.  Deformation potentials and electron-phonon scattering: Two new theorems , 1984 .

[8]  N. Christensen Electronic structure of GaAs under strain , 1984 .

[9]  E. Mendez,et al.  Temperature dependence of the electron mobility in GaAs‐GaAlAs heterostructures , 1984 .

[10]  Cheung,et al.  CdTe-HgTe (1-bar 1-bar 1-bar) heterojunction valence-band discontinuity: A common-anion-rule contradiction. , 1986, Physical review letters.

[11]  F. Flores,et al.  Energy barriers and interface states at heterojunctions , 1979 .

[12]  D. R. Penn,et al.  Wave-Number-Dependent Dielectric Function of Semiconductors , 1962 .

[13]  Chang,et al.  Pressure dependence of band offsets in an InAs-GaSb superlattice. , 1986, Physical review letters.

[14]  U. Pietsch,et al.  The Influence of Free Carriers on the Equilibrium Lattice Parameter of Semiconductor Materials , 1983, November 16.

[15]  R. H. Williams,et al.  Chemical and electronic structure of InSb‐CdTe interfaces , 1986 .

[16]  T. Kuech,et al.  Epitaxial growth of Ge on 〈100〉 Si by a simple chemical vapor deposition technique , 1981 .

[17]  M. Cardona,et al.  Self-energies of phonons in heavily doped n- and p-type silicon , 1982 .

[18]  H. Presting,et al.  Deformation Potentials of k = 0 States of Tetrahedral Semiconductors , 1984, November 1.

[19]  Y. Guldner,et al.  HgTe-CdTe superlattices: Magnetooptics and band structure , 1986 .

[20]  James R. Chelikowsky,et al.  Nonlocal pseudopotential calculations for the electronic structure of eleven diamond and zinc-blende semiconductors , 1976 .

[21]  Leroy L. Chang,et al.  Optical absorption of In1−xGaxAsGaSb1−yAsy superlattices , 1978 .

[22]  J. Tersoff Schottky Barrier Heights and the Continuum of Gap States , 1984 .

[23]  John C. Bean,et al.  Measurement of the band gap of GexSi1−x/Si strained‐layer heterostructures , 1985 .

[24]  E. A. Kraut,et al.  Determination of the InAs–GaAs(100) heterojunction band discontinuities by x‐ray photoelectron spectroscopy (XPS) , 1982 .

[25]  J. Tersoff,et al.  Tight‐binding theory of heterojunction band lineups and interface dipoles , 1986 .

[26]  B. Nag,et al.  Electron mobility in InP , 1977 .

[27]  E. A. Kraut,et al.  Measurement of ZnSe–GaAs(110) and ZnSe–Ge(110) heterojunction band discontinuities by x‐ray photoelectron spectroscopy (XPS) , 1982 .

[28]  Stergios Logothetidis,et al.  Temperature dependence of the dielectric function of germanium , 1984 .

[29]  A. Baldereschi,et al.  Mean-Value Point in the Brillouin Zone , 1973 .

[30]  T. C. Mcgill,et al.  Correlation for III-V and II-VI Semiconductors of the Au Schottky Barrier Energy with Anion Electronegativity , 1976 .

[31]  O. K. Andersen,et al.  Linear methods in band theory , 1975 .

[32]  Peter Lawætz Long-Wavelength Phonon Scattering in Nonpolar Semiconductors , 1969 .

[33]  M. Cardona,et al.  Physical properties of ion-implanted laser annealed n-type germanium , 1985 .

[34]  Daniel L. Rode,et al.  Electron Transport in InSb, InAs, and InP , 1971 .

[35]  Vinter Low-temperature phonon-limited electron mobility in modulation-doped heterostructures. , 1986, Physical review. B, Condensed matter.

[36]  Allan,et al.  Tight-binding calculation of the band offset at the Ge-GaAs (110) interface using a local charge-neutrality condition. , 1986, Physical review. B, Condensed matter.

[37]  E. Louis,et al.  The metal-semiconductor interface: Si (111) and zincblende (110) junctions , 1977 .

[38]  Louie,et al.  First-principles theory of quasiparticles: Calculation of band gaps in semiconductors and insulators. , 1985, Physical review letters.

[39]  M. Cardona,et al.  Absolute Hydrostatic Deformation Potentials of Tetrahedral Semiconductors , 1982 .

[40]  A. Gossard,et al.  Temperature dependence of the mobility of two‐dimensional hole systems in modulation‐doped GaAs‐(AlGa)As , 1984 .

[41]  English,et al.  Light scattering determination of band offsets in GaAs-AlxGa1-xAs quantum wells. , 1986, Physical review. B, Condensed matter.

[42]  J. D. Wiley Valence-band deformation potentials for the III V compounds , 1970 .

[43]  R. Daniels,et al.  Nature of the Band Discontinuities at Semiconductor Heterojunction Interfaces , 1982 .

[44]  P. Pfeffer,et al.  Theory of free-electron optical absorption in n-GaAs , 1984 .

[45]  Fred H. Pollak,et al.  Effects of Uniaxial Stress on the Indirect Exciton Spectrum of Silicon , 1971 .

[46]  S. Kocsis Lattice scattering mobility of electrons in GaP , 1975 .

[47]  Wolf,et al.  Strain-induced two-dimensional electron gas in selectively doped Si/SixGe1-x superlattices. , 1985, Physical review letters.

[48]  G. Bauer,et al.  Hot-Electron-Phonon Interaction in the Nonparabolic Conduction Band of Degenerate InSb at 4.2 K , 1973 .

[49]  G. Srinivasan Microscopic dielectric function of a model semiconductor , 1969 .

[50]  G. Margaritondo Theory of Semiconductor Heterojunctions - the Role of Quantum Dipoles - Comment , 1985 .

[51]  Martin,et al.  Theoretical calculations of heterojunction discontinuities in the Si/Ge system. , 1986, Physical review. B, Condensed matter.

[52]  R. H. Lyddane,et al.  On the Polar Vibrations of Alkali Halides , 1941 .

[53]  Leo Esaki,et al.  In1−xGaxAs‐GaSb1−yAsy heterojunctions by molecular beam epitaxy , 1977 .

[54]  M. Y. Dashevsky,et al.  Impurity effects on low‐angle boundary formation in silicon single crystals , 1979 .

[55]  S. L. Wright,et al.  Energy band alignment in GaAs:(Al,Ga)As heterostructures: The dependence on alloy composition , 1986 .

[56]  E. Gornik,et al.  Physics of Narrow Gap Semiconductors , 1982 .

[57]  Christensen,et al.  Relativistic and core-relaxation effects on the energy bands of gallium arsenide and germanium. , 1985, Physical review. B, Condensed matter.

[58]  Chung,et al.  Thin-film quantization studies of grey tin epitaxially grown on CdTe(111). , 1985, Physical Review B (Condensed Matter).

[59]  J. Bardeen,et al.  Deformation Potentials and Mobilities in Non-Polar Crystals , 1950 .

[60]  M. Cardona,et al.  Energy-Band Structure and Optical Spectrum of Grey Tin , 1970 .

[61]  S. Puri Phonon Drag and Phonon Interactions inn-InSb , 1965 .

[62]  J. Ihm,et al.  Self-consistent calculation of the electronic structure of the (110) GaAs-ZnSe interface , 1979 .

[63]  Tersoff Band lineups at II-VI heterojunctions: Failure of the common-anion rule. , 1986, Physical review letters.

[64]  Richard M. Martin,et al.  Theoretical Study of Semiconductor Interfaces , 1985 .

[65]  G. Margaritondo,et al.  Experimental-Study of the Gap-Si Interface , 1984 .

[66]  S. Groves,et al.  BAND STRUCTURE OF GRAY TIN , 1963 .

[67]  H. Sakaki,et al.  Energy relaxation of two‐dimensional electrons and the deformation potential constant in selectively doped AlGaAs/GaAs heterojunctions , 1986 .