Journal of Low Temperature Physics

, Volume 9, Issue 1–2, pp 11–31 | Cite as

Hall effect in the vortex state of dirty type-II superconductors

  • Hiromichi Ebisawa
Article

Abstract

The off-diagonal component of the conductivity tensor of dirty type-II superconductors is calculated in the magnetic field nearH c2 . Contributions come from both the fluctuation and static parts. The former is the Ginzburg-Landau (GL) term, whose origin is the motion of Cooper pairs, and is obtained to the order ofT F as the result of the energy dependence of the density of states near the Fermi surface. The latter is obtained to the order of ω c τ. By use of the diagonal component of the conductivity tensor given by Thompson, Takayama, and Ebisawa, the derivative of the Hall angle with respect toH is calculated; it agrees qualitatively with the observed behavior.

Keywords

Magnetic Field Vortex Magnetic Material Fermi Surface Energy Dependence 

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References

  1. 1.
    Y. B. Kim and M. J. Stephen, inSuperconductivity, R. D. Parks, ed. (Marcel Dekker, New York, 1969), p. 1107.Google Scholar
  2. 2.
    Y. B. Kim, C. F. Hempstead, and A. R. Strnad,Phys. Rev. 139, A1163 (1965).Google Scholar
  3. 3.
    W. A. Reed, E. Fawcett, and Y. B. Kim,Phys. Rev. Letters 14, 790 (1965).Google Scholar
  4. 4.
    F. A. Staas, A. K. Niessen, and W. F. Druyvesteyn,Phys. Letters 17, 231 (1965); A. K. Niessen, F. A. Staas, and C. H. Weijsenfeld,Phys. Letters 25A, 33 (1967); K. Noto, K. Mori, and Y. Muto, paper presented at the International Conference on the Science of Superconductivity, Stanford, 1969.Google Scholar
  5. 5.
    J. Bardeen and M. J. Stephen,Phys. Rev. 140, A1197 (1965); P. Nozieres and W. F. Vinen,Phil. Mag. 14, 667 (1966).Google Scholar
  6. 6.
    A. Schmid,Phys. Kondens. Materie 5, 302 (1966).Google Scholar
  7. 7.
    C. Caroli and K. Maki,Phys. Rev. 159, 306 (1967).Google Scholar
  8. 8.
    C. Caroli and K. Maki,Phys. Rev. 164, 591 (1967).Google Scholar
  9. 9.
    R. S. Thompson,Phys. Rev. B1, 327 (1970).Google Scholar
  10. 10.
    H. Takayama and H. Ebisawa,Progr. Theoret. Phys. Kyoto 44, 1450 (1970).Google Scholar
  11. 11.
    H. Fukuyama, H. Ebisawa, and Y. Wada,Progr. Theoret. Phys. Kyoto 42, 494 (1969).Google Scholar
  12. 12.
    H. Ebisawa and H. Fukuyama,Progr. Theoret. Phys. Kyoto 42, 512 (1969).Google Scholar
  13. 13.
    R. Kubo,J. Phys. Soc. Japan 14, 2127 (1964); R. Kubo and H. Fukuyama, inProceedings of the 10th International Conference on the Physics of Semiconductors, Cambridge, Mass., 1970.Google Scholar
  14. 14.
    H. Fukuyama, H. Ebisawa, and T. Tsuzuki,Progr. Theoret. Phys. Kyoto 46, 1028 (1971).Google Scholar
  15. 15.
    K. Maki,Physics 1, 21 (1964).Google Scholar
  16. 16.
    A. Houghton and K. Maki,Phys. Rev. B3, 1625 (1971).Google Scholar
  17. 17.
    H. Ebisawa and H. Fukuyama,Progr. Theoret. Phys. Kyoto 46, 1042 (1971).Google Scholar

Copyright information

© Plenum Publishing Corporation 1972

Authors and Affiliations

  • Hiromichi Ebisawa
    • 1
  1. 1.Department of Applied Science, Faculty of EngineeringTohoku UniversitySendaiJapan

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