On the relaxation of the order parameter in the BCS model

  • S. V. Iordanskiĭ
  • R. B. Saptsov


The relaxation of the nonequilibrium order parameter (wave function of pairs) of a “pure” superconductor is considered for the homogeneous case. The relaxation is due to the electron-phonon interaction. The orderparameter relaxation time is shown to be much longer than the time interval between electron-electron collisions. This relation is explained by the smallness of the superconducting transition temperature compared to both the Fermi energy and the Debye energy in the BCS model.

PACS numbers



Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    J. Bardin, L. N. Cooper, and J. R. Schrieffer, Phys. Rev. 106, 162 (1957).MathSciNetCrossRefADSGoogle Scholar
  2. 2.
    N. N. Bogolyubov, Zh. Éksp. Teor. Fiz. 34, 58 (1958) [Sov. Phys. JETP 7, 41 (1958)].zbMATHGoogle Scholar
  3. 3.
    Nonequilibrium Superconductivity, Ed. by D. N. Langenberg and A. I. Larkin (North-Holland, Amsterdam, 1986).Google Scholar
  4. 4.
    N. Kopnin, Theory of Nonequilibrium Superconductivity (Clarendron, Oxford, 2001).Google Scholar
  5. 5.
    A. A. Abrikosov, L. P. Gor’kov, and I. E. Dzyaloshinskiĭ, Methods of Quantum Field Theory in Statistical Physics (Fizmatgiz, Moscow, 1962; Prentice-Hall, Englewood Cliffs, N.J., 1963).Google Scholar
  6. 6.
    A. F. Volkov and Sh. M. Kogan, Zh. Éksp. Teor. Fiz. 65, 2039 (1973) [Sov. Phys. JETP 38, 1018 (1974)].Google Scholar
  7. 7.
    R. A. Barankov, L. S. Levitov, and B. Z. Spivak, Phys. Rev. Lett. 93, 160401 (2004).Google Scholar
  8. 8.
    E. A. Yuzbashyan, B. L. Altshuler, V. B. Kuznetsov, and V. Z. Enolskii, cond-mat/0407501 (2004); condmat/0505493 (2005).Google Scholar
  9. 9.
    A. A. Abrikosov and I. M. Khalatnikov, Usp. Fiz. Nauk 65, 551 (1958).Google Scholar
  10. 10.
    E. M. Lifshits and L. P. Pitaevskiĭ, Course of Theoretical Physics, Vol. 5: Statistical Physics (Nauka, Moscow, 1978; Pergamon, New York, 1980), Part 2.Google Scholar
  11. 11.
    A. G. Aronov, Yu. M. Galperin, V. L. Gurevich, and V. I. Kozub, in Nonequilibrium Supercondutivity, Ed. by D. N. Langenberg and A. I. Larkin (North-Holland, Amsterdam, 1986).Google Scholar
  12. 12.
    M. Tinkham and J. Clarke, Phys. Rev. Lett. 28, 1366 (1972).CrossRefADSGoogle Scholar
  13. 13.
    R. J. Watts-Tobin, Y. Krähenbühl, and L. Kramer, J. Low Temp. Phys. 42, 459 (1981).CrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Inc. 2006

Authors and Affiliations

  • S. V. Iordanskiĭ
    • 1
  • R. B. Saptsov
    • 1
  1. 1.Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia

Personalised recommendations