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Prog. Theor. Phys. Vol. 46 No. 6 (1971) pp. 1651-1665

[ Full Text PDF : FREE ACCESS (813K) ]

Thermodynamic Fluctuation of the Order Parameter in the Vortex State of Type II Superconductors

Kazumi Maki and Hajime Takayama*

Department of Physics, Tohoku University, Sendai
*Department of Physics, University of Tokyo, Tokyo

(Received May 15, 1971)

Abstract:

Restricting ourselves to dirty type II superconductors, we study the effect of the thermodynamic fluctuation of the order parameter in the vortex state. The fluctuation propagator for the order parameter in the vicinity of the upper critical field is determined for all temperatures. The space average of the fluctuation diverges logarithmically in an infinite system, which may imply the instability of the Abrikosov lattice.
The excess electrical conductivity in the vortex state due to the thermodynamical fluctuation of the order parameter is then calculated, which diverges like (Hc2-B)-1/2 as the induction B approaches the upper critical field. Since the coefficient of this diverging term is reasonably large, we believe that this effect is experimentally accessible.
We discuss also briefly the excess conductivity above the upper critical field, where the anomalous term (or the Maki term) is rather important.


URL : http://ptp.ipap.jp/link?PTP/46/1651/
DOI : 10.1143/PTP.46.1651

[ Full Text PDF : FREE ACCESS (813K) ] Citation:

References:

  1. G. Eilenberger, Phys. Rev. 164 (1967), 628[APS].
  2. K. Maki, Superconductivity, edited by P. R. Wallace (Gordon and Breack, Science Pub., New York, 1968).
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  5. R. S. Thompson, Phys. Rev. B 1 (1970), 327[APS].
  6. R. S. Thompson, preprint.
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  9. H. Takayama, in preparation.
  10. See, for example, L. D. Landau and E. M. Lifshitz, Statistical Physics (Pergamon Press, London-Paris, 1954), §144, p. 470.
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  13. H. Schmidt, Z. Phys. 216 (1968), 336.
  14. K. D. Usadel, Z. Phys. 227 (1969), 260.
  15. K. Maki, J. Low Temp. Phys. 1 (1969), 513[CrossRef].

Citing Article(s) :

  1. Journal of the Physical Society of Japan 59 (1990) pp. 1740-1752 :
    Massless Mode of Abrikosov Flux Lattice
    Ryusuke Ikeda, Tetsuo Ohmi and Toshihiko Tsuneto
  2. Journal of the Physical Society of Japan 61 (1992) pp. 254-274 :
    Massless Mode in Abrikosov Flux Lattice. II. Elastic Modes and Superconducting Order
    Ryusuke Ikeda, Tetsuo Ohmi and Toshihiko Tsuneto
  3. Progress of Theoretical Physics Vol. 51 No. 6 (1974) pp. 1647-1666 :
    Flux Flow Conductivity of a Dirty Type-II Superconductor
    Syozo Imai

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