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Fluctuations in a Small Superconducting Grain

  • G. Deutscher
  • Y. Imry
  • L. Gunther

Abstract

In this paper we discuss the fluctuations of the order parameter in a single small superconducting grain. Besides the general interest in this problem,1,2 it also applies to an assembly of grains with negligible interactions among them and is thus the first step in discussing granular superconductors.1,3 The specific heat4 does not show any singular behavior in the critical region, and the smearing of the phase transition due to the finite size is in agreement with a recent theory.5 We derive a scaling law between the 3D (three-dimensional) and 0D (zero-dimensional) indices.6 For the dc paraconductivity our 0D predictions agree with the Aslamazov-Larkin result and do not agree with the result of Ref. 2.

Keywords

Critical Region Zero Dimension Negligible Interaction Granular Superconductor Free Energy Equation 
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.

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References

  1. 1.
    G. Deutscher, Phys. Lett. 35A, 28 (1971).CrossRefGoogle Scholar
  2. 2.
    J. P. Hurault, K. Maki, and M. T. Beal-Monod, Phys. Rev. B3, 762 (1971).ADSCrossRefGoogle Scholar
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    B. Abeles and J. J. Hanak, Phys. Lett. 34A, 165 (1971).CrossRefGoogle Scholar
  4. 4.
    L. Gunther, G. Deutscher, and Y. Imry, Specific Heat of a Superconducting Grain in the Critical Region (submitted to Phys. Rev.); and V. V. Shmidt, Soviet Phys.—JETP Lett. 3, 89 (1966).Google Scholar
  5. 5.
    Y. Imry and D. Bergman, Phys. Rev. A 3, 1416 (1971).ADSCrossRefGoogle Scholar
  6. 6.
    Y. Imry, G. Deutscher, D. J. Bergman, and S. Alexander, Interdimensional Scaling Laws, Phys. Rev. A (to be published).Google Scholar
  7. 7.
    P. W. Anderson, J. Phys. Chem. Sol. 11, 26 (1959).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1974

Authors and Affiliations

  • G. Deutscher
    • 1
  • Y. Imry
    • 2
    • 3
  • L. Gunther
    • 4
  1. 1.Department of Physics and AstronomyTel Aviv UniversityRamat AvivIsrael
  2. 2.Department of Physics and AstronomyTel Aviv UniversityTel AvivIsrael
  3. 3.Soreq Nuclear Research CenterYavneIsrael
  4. 4.Department of PhysicsTufts UniversityMedfordUSA

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