On the effect of far impurities on the density of states of two-dimensional electron gas in a strong magnetic field

  • I. S. Burmistrov
  • M. A. Skvortsov
Condensed Matter

Abstract

The effect of impurities situated at different distances from a two-dimensional electron gas on the density of states in a strong magnetic field is analyzed. Based on the entire result of Brezin, Gross, and Itzykson, we calculate the density of states in the entire energy range, assuming the Poisson distribution of impurities in the bulk. It is shown that, in the case of small impurity concentration, the density of states is qualitatively different from the model case when all impurities are located in the plane of the two-dimensional electron gas.

PACS numbers

73.20.At 73.20.Hb 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    T. Ando, A. B. Fowler, and F. Stern, Rev. Mod. Phys. 54, 437 (1982).CrossRefADSGoogle Scholar
  2. 2.
    The Quantum Hall Effect, Eds. by R. E. Prange and S. M. Girvin (Springer, Berlin, 1987).Google Scholar
  3. 3.
    I. V. Kukushkin, S. V. Meshkov, and V. B. Timofeev, Usp. Fiz. Nauk 155, 219 (1988) [Sov. Phys. Usp. 31, 511 (1988)].Google Scholar
  4. 4.
    T. Ando and Y. Uemura, J. Phys. Soc. Jpn. 36, 959 (1974); J. Phys. Soc. Jpn. 36, 1521 (1974); T. Ando, J. Phys. Soc. Jpn. 37, 1233 (1974).Google Scholar
  5. 5.
    K. B. Efetov and V. G. Marikhin, Phys. Rev. B 40, 12126 (1989).Google Scholar
  6. 6.
    F. Wegner, Z. Phys. B 51, 279 (1983).CrossRefGoogle Scholar
  7. 7.
    E. Brezin, D. J. Gross, and C. Itzykson, Nucl. Phys. B 235, 24 (1984).ADSMathSciNetGoogle Scholar
  8. 8.
    É. M. Baskin, L. I. Magarill, and M. V. Éntin, Zh. Éksp. Teor. Fiz. 75, 723 (1978) [Sov. Phys. JETP 48, 365 (1978)].Google Scholar
  9. 9.
    A. M. Dyugaev, P. D. Grigoriev, and Yu. N. Ovchinnikov, Pis’ma Zh. Éksp. Teor. Fiz. 78, 179 (2003).Google Scholar
  10. 10.
    L. B. Ioffe and A. I. Larkin, Zh. Éksp. Teor. Fiz. 81, 1048 (1981) [Sov. Phys. JETP 54, 556 (1981)].Google Scholar
  11. 11.
    I. Affleck, J. Phys. C 17, 279 (1984).CrossRefGoogle Scholar

Copyright information

© MAIK "Nauka/Interperiodica" 2003

Authors and Affiliations

  • I. S. Burmistrov
    • 1
    • 2
  • M. A. Skvortsov
    • 1
  1. 1.Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia
  2. 2.Institute for Theoretical PhysicsUniversity of AmsterdamAmsterdamThe Netherlands

Personalised recommendations