Skip to main content
SpringerLink
Log in

Weak localization and coulomb interaction in disordered systems

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

Interacting electrons, diffusing in a two-dimensional (2d) disordered system, are studied. The renormalization group equations, including both localization effects and Coulomb correlations, are derived. We encounter a qualitatively new situation: the constants describing electron interaction diverge as a result of the renormalization when a certain scale is achieved, whereas the resistence proves to be finite. Calculation of the spin density correlation function reveals that the system exhibits a tendency for spin density rearrangement.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Abrahams, E., Anderson, P.W., Licciardello, D.C., Ramakrishnan, T.V.: Phys. Rev. Lett.42, 673 (1979)

    Google Scholar 

  2. Wegner, F.: Z. Phys. B-Condensed Matter35, 207 (1979)

    Google Scholar 

  3. Abrahams, E., Ramakrishnan, T.V.: J. Non-Cryst. Solids35, 15 (1980)

    Google Scholar 

  4. Gor'kov, L.P., Larkin, A.I., Khmelnitsky, D.E.: Pis'ma Zh. Eksp. Teor. Fiz.30, 248 (1979), [JETP Lett.30, 228 (1979)]

    Google Scholar 

  5. Altshuler, B.L., Aronov, A.G.: Zh. Eksp. Teor. Fiz.77, 2028 (1979) [Sov. Phys. JETP50, 968 (1979)]; Altshuler, B.L., Aronov, A.G., Lee, P.A.: Phys. Rev. Lett.44, 1288 (1980)

    Google Scholar 

  6. Finkel'stein, A.M.: Zh. Eksp. Teor. Fiz.84, 168 (1983) [Sov. Phys. JETP57, 97 (1983)]

    Google Scholar 

  7. Finkel'stein, A.M.: Zh. Eksp. Teor. Fiz.86, 367 (1984); Pis'ma Zh. Eksp. Teor. Fiz.37, 436 (1983), [JETP Lett.37, 517 (1983)]

    Google Scholar 

  8. Altshuler, B.L., Khmelnitsky, D.E., Larkin, A.I., Lee, P.A.: Phys. Rev. B22, 5142 (1980)

    Google Scholar 

  9. Lee, P.A.: J. Non-Cryst. Solids35, 21 (1980)

    Google Scholar 

  10. Schäfer, L., Wegner, F.: Z. Phys. B-Condensed Matter38, 113 (1980)

    Google Scholar 

  11. Efetov, K.B., Larkin, A.I., Khmelnitsky, D.E.: Zh. Eksp. Teor. Fiz.79, 1120 (1980) [Sov. Phys. JETP52, 568 (1980)]

    Google Scholar 

  12. Edwards, S.F.: J. Phys. C8, 1660 (1975)

    Google Scholar 

  13. McMillan, W.L.: Phys. Rev. B24, 2739 (1981)

    Google Scholar 

  14. Wilson, K.G., Kogut, J.: Phys. Rep. C12, 75 (1974)

    Google Scholar 

  15. Polyakov, A.M.: Phys. Lett. B59, 79 (1982)

    Google Scholar 

  16. Lee, P.A.: Phys. Rev. B26, 5882 (1982)

    Google Scholar 

  17. Castellani, C., Di Castro, C., Forgacs, G., Tabet, E.: Nucl. Phys. B225, 441 (1983)

    Google Scholar 

  18. Schmid, A.: Z. Phys.271, 251 (1974); Altshuler, B.L., Aronov, A.G.: Pis'ma Zh. Eksp. Teor. Fiz.30, 514 (1979)

    Google Scholar 

  19. Uren, M.J., Davies, R.A., Kaveh, M., Pepper, M.: J. Phys. C14, L395 (1981)

    Google Scholar 

  20. Altshuler, B.L., Varlamov, A., Reiser, M.: Zh. Eksp. Teor. Fiz.84, 2280 (1983)

    Google Scholar 

  21. Larkin, A.I.: Pis'ma Zh. Eksp. Teor. Fiz.31, 239 (1980)

    Google Scholar 

  22. Maekawa, S., Fukuyama, H.: J. Phys. Soc. Jpn.51, 1380 (1982); Takagi, H., Kuroda, Y.: Solid State Commun.41, 643 (1982)

    Google Scholar 

  23. Uren, M.J., Davies, R.A., Kaveh, M., Pepper, M.: Phys. C14, 5737 (1981)

    Google Scholar 

  24. Bychkov, Yu.A., Gor'kov, L.P., Dzyaloshinsky, I.E.: Zh. Eksp. Teor. Fiz.50, 738 (1966)

    Google Scholar 

  25. Bir, G.L., Pikus, G.E.: Symmetry and strain-induced effects in semiconductors. Sect. 39, Table 39.1, New York: Wiley 1975

    Google Scholar 

  26. Castellani, C., DiCastro, C., Lee, P.A., Ma, M., Sorella, S., Tabet, B.: (to be published)

Download references

Author information

Authors and Affiliations

  1. L.D. Landau Institute for Theoretical Physics, USSR Academy of Sciences, ul. Kosygina 2, SU-117334, Moscow, USSR

    A. M. Finkel'stein

Authors
  1. A. M. Finkel'stein
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Finkel'stein, A.M. Weak localization and coulomb interaction in disordered systems. Z. Physik B - Condensed Matter 56, 189–196 (1984). https://doi.org/10.1007/BF01304171

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01304171

Keywords

Search

Navigation