Skip to main content
Log in

Two-dimensional electron liquid with disorder in a weak magnetic field

  • Solids
  • Electronic Properties
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

We present the effective theory for the low-energy dynamics of two-dimensional interacting electrons in the presence of a weak short-range disorder and a weak perpendicular magnetic field, with the filling factor γ ≫ 1. We investigate the exchange enhancement of the g factor, the effective mass, and the decay rate of the simplest spin wave excitations at γ=2N+1. We obtain the enhancement of the field-induced gap in the tunneling density of states and the dependence of the tunneling conductivity on the applied bias.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. The Quantum Hall Effect, Ed. by R. E. Prange and S. M. Girvin (Springer-Verlag, Berlin, 1987).

    Google Scholar 

  2. A. H. MacDonald and S. M. Girvin, Phys. Rev. B 33, 4009 (1986); R. Morf and N. d’Ambrumenil, E-print archives cond-mat/9409008; L. Belkhir and J. Jain, E-print archives cond-mat/9409020.

    ADS  Google Scholar 

  3. A. P. Smith, A. H. MacDonald, and G. Gumbs, Phys. Rev. B 45, 8829 (1992).

    ADS  Google Scholar 

  4. J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 69, 3804 (1992).

    Article  ADS  Google Scholar 

  5. R. C. Ashoori, J. A. Lebens, N. P. Bigelow, et al., Phys. Rev. Lett. 64, 681 (1990); Phys. Rev. B 48, 4616 (1993).

    Article  ADS  Google Scholar 

  6. I. L. Aleiner, H. U. Baranger, and L. I. Glazman, Phys. Rev. Lett. 74, 3435 (1995).

    Article  ADS  Google Scholar 

  7. I. L. Aleiner and L. I. Glazman, E-print archives condmat/9505026.

  8. A. A. Koulakov, M. M. Fogler, and B. I. Shklovskii, Phys. Rev. Lett. 76, 499 (1996); Phys. Rev. B 54, 1853 (1996); R. Moessner and J. T. Chalker, Phys. Rev. B 54, 5006 (1996).

    Article  ADS  Google Scholar 

  9. M. P. Lilly, K. B. Cooper, J. P. Eisenstein, et al., Phys. Rev. Lett. 82, 394 (1999).

    Article  ADS  Google Scholar 

  10. M. M. Fogler, E-print archives cond-mat/0111001.

  11. K. B. Efetov, A. I. Larkin, and D. E. Khmel’nitzkii, Zh. Éksp. Teor. Fiz. 79, 1120 (1980) [Sov. Phys. JETP 52, 568 (1980)].

    Google Scholar 

  12. A. M. Finkel’stein, Pis’ma Zh. Éksp. Teor. Fiz. 37, 436 (1983); Zh. Éksp. Teor. Fiz. 84, 168 (1983); Zh. Éksp. Teor. Fiz. 86, 367 (1984).

    Google Scholar 

  13. A. M. M. Pruisken, Nucl. Phys. B 235, 277 (1984).

    Article  ADS  MathSciNet  Google Scholar 

  14. A. M. M. Pruisken, M. A. Baranov, and B. Škorić, Phys. Rev. B 60, 16807 (1999).

    Google Scholar 

  15. T. Ando and Y. Uemura, J. Phys. Soc. Jpn. 36, 959 (1974); 36, 1521 (1974); T. Ando, J. Phys. Soc. Jpn. 37, 1233 (1974).

    Google Scholar 

  16. M. A. Baranov and A. M. M. Pruisken, private communication.

  17. T. Ando, A. B. Fowler, and F. Stern, Rev. Mod. Phys. 54, 437 (1982).

    Article  ADS  Google Scholar 

  18. I. V. Kukushkin, S. V. Meshkov, and V. B. Timofeev, Usp. Fiz. Nauk 155, 219 (1988) [Sov. Phys. Usp. 31, 511 (1988)].

    Google Scholar 

  19. X. G. Wu and S. L. Sondhi, E-print archives cond-mat/9502111.

  20. T. Ando and Y. Uemura, J. Phys. Soc. Jpn. 37, 1044 (1974).

    Google Scholar 

  21. C. Kallin and B. I. Halperin, Phys. Rev. B 30, 5655 (1984).

    Article  ADS  Google Scholar 

  22. K. Suzuki and Y. Kawamoto, J. Phys. Soc. Jpn. 35, 1456 (1973).

    Google Scholar 

  23. Yu. A. Bychkov, S. V. Iordanskii, and G. M. Eliashberg, Pis’ma Zh. Éksp. Teor. Fiz. 33, 152 (1981) [JETP Lett. 33, 143 (1981)].

    Google Scholar 

  24. L. S. Levitov and A. V. Shytov, E-print archives cond-mat/9607136 and references therein.

Download references

Author information

Authors and Affiliations

Authors

Additional information

From Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 122, No. 1, 2002, pp. 150–163.

Original English Text Copyright © 2002 by Burmistrov.

This article was submitted by the author in English.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Burmistrov, I.S. Two-dimensional electron liquid with disorder in a weak magnetic field. J. Exp. Theor. Phys. 95, 132–144 (2002). https://doi.org/10.1134/1.1499911

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1499911

Keywords

Navigation