Analytic theory of electric field depinning in the one-dimensional Fukuyama-Lee-Rice hamiltonian

  • W. Wonneberger
  • F. Gleisberg
  • W. Hontscha
Article
Received:

Abstract

Using Feigel'man's method in the theory of one-dimensional random systems we have evaluated analytically the depinning electric fieldE T and the static dielectric constant ε0 for the Fukuyama-Lee-Rice hamiltonian in the weak pinning limit and for low temperatures. This is accomplished by solving a Fokker-Planck equation for finitedc electric fields in order to determine the field dependent pinning energy. The dielectric constant is found to remain independent of the electric field up to the threshold. The product ε0E T is also evaluated and compared with other theories.

Keywords

Spectroscopy Neural Network State Physics Dielectric Constant Complex System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Tanaka, S., Uchinokura, K. (eds.): Physics and chemistry of quasi one-dimensional conductors. Yamada Conference XV. PhysicsB+C, 1–592 (1986)Google Scholar
  2. 2.
    Fukuyama, H.: J. Phys. Soc. Jpn.41, 513 (1976)Google Scholar
  3. 3.
    Fukuyama, H., Lee, P.A.: Phys. Rev. B17, 535 (1978)Google Scholar
  4. 4.
    Lee, P.A., Rice, T.M.: Phys. Rev. B19, 3970 (1979)Google Scholar
  5. 5.
    Eckern, U., Geier, A.: Z. Phys. B — Condensed Matter65, 15 (1986)Google Scholar
  6. 6.
    Teranishi, N., Kubo, R.: J. Phys. Soc. Jpn.47, 720 (1979)Google Scholar
  7. 7.
    Sokoloff, J.B.: Phys. Rev. B23, 1992 (1981)Google Scholar
  8. 8.
    Pietronero, L., Strässler, S.: Phys. Rev. B28, 5863 (1983)Google Scholar
  9. 9.
    Littlewood, P.B.: Phys. Rev. B33, 6694 (1986)Google Scholar
  10. 10.
    Fisher, D.S.: Phys. Rev. Lett.50, 1486 (1983); Phys. Rev. B31, 1396 (1985)Google Scholar
  11. 11.
    Sokoloff, J.B.: Phys. Rev. B31, 2270 (1985)Google Scholar
  12. 12.
    Feigel'man, M.V.: Zh. Eksp. Teor. Fiz.79, 1095 (1980) (Sov. Phys. JETP54, 1138 (1980))Google Scholar
  13. 13.
    Vinokur, V.M., Mineev, M.B., Feigel'man, M.V.: Zh. Eksp. Teor. Fiz.81, 2142 (1981) (Sov. Phys. JETP54, 1138 (1981))Google Scholar
  14. 14.
    Feigel'man, M.V., Vinokur, V.M.: Phys. Lett.87A, 53 (1981)Google Scholar
  15. 15.
    Feigel'man, M.V., Vinokur, V.M.: Solid State Commun.45, 595 (1983); ibid 599 (1983); ibid 603 (1983)Google Scholar
  16. 16.
    Wei-yu, Wu, Janossy, A., Grüner, G.: Solid State Commun.49, 1013 (1984)Google Scholar
  17. 17.
    Feigel'man, M.V., Joffe, L.B.: Z. Phys. B — Condensed Matter51, 237 (1983)Google Scholar
  18. 18.
    Risken, H.: The Fokker-Planck equation. In: Springer Series in Synergetics. Vol. 18. Berlin, Heidelberg, New York: Springer 1984Google Scholar
  19. 19.
    Wonneberger, W., Gleisberg, F.: Solid State Commun.23, 665 (1977)Google Scholar
  20. 20.
    Krive, I.V., Rozhavsky, A.S.: Solid State Commun.55, 691 (1985)Google Scholar
  21. 21.
    Bardeen, J.: Phys. Rev. Lett.42, 1498 (1979)Google Scholar
  22. 22.
    Bardeen, J.: Phys. Rev. Lett.45, 1978 (1980)Google Scholar
  23. 23.
    Bardeen, J.: Phys. Rev. Lett.55, 1010 (1985)Google Scholar
  24. 24.
    Bardeen, J.: Z. Phys. B — Condensed Matter67, 427 (1987)Google Scholar
  25. 25.
    Tucker, J.R., Lyons, W.G., Miller, Jr., J.H., Thorne, R.E., Lyding, J.W.: Phys. Rev. B34, 9083 (1986)Google Scholar
  26. 26.
    Mazzucchelli, G.M., Zeyher, R.: Z. Phys. B — Condensed Matter62, 367 (1986)Google Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • W. Wonneberger
    • 1
  • F. Gleisberg
    • 1
  • W. Hontscha
    • 1
  1. 1.Abteilung für Mathematische PhysikUniversität UlmUlmGermany

Personalised recommendations