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Prog. Theor. Phys. Vol. 39 No. 4 (1968) pp. 897-906

[ Full Text PDF : FREE ACCESS (492K) ]

The Critical Fluctuation of the Order Parameter in Type-II Superconductors

Kazumi Maki

Research Institute for Mathematical Sciences, Kyoto University, Kyoto

(Received November 21, 1967)

Abstract:

We study here the effect of the critical fluctuation (i.e. the thermodynamical fluctuation) of the order parameter in dirty type-II superconductors in a magnetic field H sligtly above the upper critical field. We find that the fluctuation gives rise to a singular contribution to various transport coefficients, which diverge like (H-Hc2)-1/2. It is shown at the same time that in the usual dirty superconductor (say, with the electronic mean free path l∼100 Å), the above effects will probably be unaccessible experimentally, because of the smallness of the coefficient in front of the singular terms. However, in extremely dirty superconductors (say with l∼ Å), we may expect significant modifications of the transport properties due to the fluctuation.


URL : http://ptp.ipap.jp/link?PTP/39/897/
DOI : 10.1143/PTP.39.897

[ Full Text PDF : FREE ACCESS (492K) ] Citation:

References:

  1. D. J. Thouless, Ann. of Phys. 10 (1960), 553[CrossRef].
  2. É. G. Batyev, A. Z. Patashinskii and V. L. Pokrovskii, Zh. Eksp. i Teor. Fiz. 46 (1964), 2093 [Sov. Phys. -JETP (English transl.) 19 (1964), 1412].
  3. G. Eilenberger, Phys. Rev. 164 (1967), 628[APS].
  4. R. A. Ferrell and H. Schmidt, Phys. Lett. A 25 (1967), 544[CrossRef].
  5. R. E. Glover, Phys. Lett. A 25 (1967), 542[CrossRef].
  6. C. Caroli and K. Maki, Phys. Rev. 159 (1967), 306[APS]; ibid. 159 (1967), 316[APS].
  7. P. W. Anderson, Proceedings of the Conference on Critical Phenomena, eds. M. S. Green and J. V. Sengers (Washington, 1965), p. 102.
  8. A. A. Abrikosov and L. P. Gor'kov, Zh. Eksp. i Theor. Fiz. 39 (1960), 1781 [Sov. Phys. -JETP (English transl.) 12 (1961), 1243].
  9. K. Maki, Physics 1 (1964), 21.
  10. K. Maki, Phys. Rev. 141 (1966), 331[APS].
  11. See for a general review.
    K. Maki, “Gapless Superconductivity” in Treatise on Superconductivity, edited by R. D. Parks (to be published by Marcel Dekker, Inc., New York).

Citing Article(s) :

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