A Statistical Model for Inhomogeneities Explaining the Apparent Density of States Between Landau Levels of a Two-Dimensional Electron Gas

  • V. Gudmundsson
  • R. R. Gerhardts
Conference paper
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 71)


A statistical model is presented for a spatially inhomogenous two-dimensional electron gas (2DEG) in a quantizing magnetic field, which simulates the effects of Poisson’s equation and some essential properties of selfconsistent screening. The model yields an effective background density of states (DOS) between Landau levels (L.L.’s) and is used to explain a number of recent experimental observations. A three-dimensional model of a heterojunction is introduced, which can account for the possible charge transfer between the gate and the 2DEG.


Poisson Equation Landau Level Gate Current Effective Background Stical Model 
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  1. 1.
    D. Weiss, K. v. Klitzing, V. Mosser, Springer Series in Solid State Sciences 67, Springer Berlin, Heiderberg (1986)Google Scholar
  2. 2.
    T.P. Smith, B.B. Goldberg, P.J. Stiles, M. Heiblum, Phys. Rev. B32, 2696 (1985)ADSGoogle Scholar
  3. 3.
    B. Tausendfreund, K. v. Klitzing, Surf. Sci. 142, 220 (1984)CrossRefADSGoogle Scholar
  4. 4.
    D. Weiss, E. Stahl, G. Weimann, K. Ploog, K. v. Klitzing, Proc. Int. Conf. EP2DS VI, Japan 1985, p. 307, J. Phys. C18, L783 (1985)Google Scholar
  5. 5.
    M.G. Gavrilov, I.V. Kukushkin, Pis’ma, Zh. Eksp. Fiz. 43, 79 (1986)ADSGoogle Scholar
  6. 6.
    E. Gornik, R. Lassnig, G. Strasser, H.L Störmer, A.C. Gossard, W. Wiegmann, Phys. Rev. Lett. 54, 1820 (1985)CrossRefADSGoogle Scholar
  7. 7.
    J.P. Eisenstein, H.L. Störmer, V. Narayanamurti, A.Y. Cho, A.C. Gossard, W.C. Tu, Phys. Rev. Lett. 55, 875 (1985)CrossRefADSGoogle Scholar
  8. 8.
    T. Ando, Y. Uemura, J. Phys. Soc. Japan 36, 959 (1974)CrossRefADSGoogle Scholar
  9. 8a.
    T. Ando, J. Phys. Soc. Japan 37, 622 (1974)CrossRefADSGoogle Scholar
  10. 9.
    R.R. Gerhardts, Z. PTiysik B21, 275 (1975)Google Scholar
  11. 9a.
    R.R. Gerhardts, Surf. Sci. 58, 234 (1976)CrossRefADSGoogle Scholar
  12. 10.
    T. Ando, Y. Murayama, J. Phys. Soc. Japan 54, 1519 (1985)CrossRefADSGoogle Scholar
  13. 11.
    W. Cai, T.S. Ting, Phys. Rev. B33, 3967 (1986)ADSGoogle Scholar
  14. 12.
    R. Lassnig, E. Gornik, Solid State Commun. 47, 959 (1983)CrossRefADSGoogle Scholar
  15. 13.
    F. Stern, Phys. Rev. B5, 4891 (1972)ADSGoogle Scholar
  16. 14.
    F. Stern, S. Das Sarma, Phys. Rev. B30, 840 (1984)ADSGoogle Scholar
  17. 15.
    G. Bastard, Surf. Sci. 142, 284 (1984)CrossRefADSGoogle Scholar
  18. 16.
    F.F. Fang, W.E. Howard,TRys. Rev. Lett. 16, 797 (1966)ADSGoogle Scholar
  19. 17.
    V. Gudmundsson, R.R. Gerhardts, to be publishedGoogle Scholar
  20. 18.
    R.R. Gerhardts, V. Gudmundsson, Phys. Rev. B34, in pressGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • V. Gudmundsson
    • 1
  • R. R. Gerhardts
    • 1
  1. 1.Max-Planck-Institut für FestkörperforschungStuttgart 80Fed. Rep. of Germany

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