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

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High Magnetic Fields in Semiconductor Physics

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 71))

Abstract

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.

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References

  1. D. Weiss, K. v. Klitzing, V. Mosser, Springer Series in Solid State Sciences 67, Springer Berlin, Heiderberg (1986)

    Google Scholar 

  2. T.P. Smith, B.B. Goldberg, P.J. Stiles, M. Heiblum, Phys. Rev. B32, 2696 (1985)

    ADS  Google Scholar 

  3. B. Tausendfreund, K. v. Klitzing, Surf. Sci. 142, 220 (1984)

    Article  ADS  Google Scholar 

  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. M.G. Gavrilov, I.V. Kukushkin, Pis’ma, Zh. Eksp. Fiz. 43, 79 (1986)

    ADS  Google Scholar 

  6. E. Gornik, R. Lassnig, G. Strasser, H.L Störmer, A.C. Gossard, W. Wiegmann, Phys. Rev. Lett. 54, 1820 (1985)

    Article  ADS  Google Scholar 

  7. J.P. Eisenstein, H.L. Störmer, V. Narayanamurti, A.Y. Cho, A.C. Gossard, W.C. Tu, Phys. Rev. Lett. 55, 875 (1985)

    Article  ADS  Google Scholar 

  8. T. Ando, Y. Uemura, J. Phys. Soc. Japan 36, 959 (1974)

    Article  ADS  Google Scholar 

  9. T. Ando, J. Phys. Soc. Japan 37, 622 (1974)

    Article  ADS  Google Scholar 

  10. R.R. Gerhardts, Z. PTiysik B21, 275 (1975)

    Google Scholar 

  11. R.R. Gerhardts, Surf. Sci. 58, 234 (1976)

    Article  ADS  Google Scholar 

  12. T. Ando, Y. Murayama, J. Phys. Soc. Japan 54, 1519 (1985)

    Article  ADS  Google Scholar 

  13. W. Cai, T.S. Ting, Phys. Rev. B33, 3967 (1986)

    ADS  Google Scholar 

  14. R. Lassnig, E. Gornik, Solid State Commun. 47, 959 (1983)

    Article  ADS  Google Scholar 

  15. F. Stern, Phys. Rev. B5, 4891 (1972)

    ADS  Google Scholar 

  16. F. Stern, S. Das Sarma, Phys. Rev. B30, 840 (1984)

    ADS  Google Scholar 

  17. G. Bastard, Surf. Sci. 142, 284 (1984)

    Article  ADS  Google Scholar 

  18. F.F. Fang, W.E. Howard,TRys. Rev. Lett. 16, 797 (1966)

    ADS  Google Scholar 

  19. V. Gudmundsson, R.R. Gerhardts, to be published

    Google Scholar 

  20. R.R. Gerhardts, V. Gudmundsson, Phys. Rev. B34, in press

    Google Scholar 

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© 1987 Springer-Verlag Berlin Heidelberg

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Gudmundsson, V., Gerhardts, R.R. (1987). A Statistical Model for Inhomogeneities Explaining the Apparent Density of States Between Landau Levels of a Two-Dimensional Electron Gas. In: Landwehr, G. (eds) High Magnetic Fields in Semiconductor Physics. Springer Series in Solid-State Sciences, vol 71. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83114-0_10

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  • DOI: https://doi.org/10.1007/978-3-642-83114-0_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83116-4

  • Online ISBN: 978-3-642-83114-0

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