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Statistical mechanics of a vortex system in a thin superconducting film in the cyclic approximation. II. Finite thickness and vortex bending

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Abstract

An expression for the interaction between two pointlike vortices in a superconducting film of finite thickness is obtained. The result differs from the well-known Pearl result by the new effective penetration depthΛ'=λ coth d/2λ. The partition function is calculated in the cyclic approximation and the vortex bending fluctuations are taken into account as in the quasiclassical approximation. The influence of both these correction terms on the Kosterlitz-Thouless transition and the resistance curve is discussed.

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Authors and Affiliations

  1. Physics Department, Moscow State University, USSR

    D. Yu. Irz, V. N. Ryzhov & E. E. Tareyeva

  2. L. F. Vereshchagin Institute of High Pressure Physics, Russian Academy of Sciences, Troizk, 142092, Moscow region, Russian Federation

    D. Yu. Irz, V. N. Ryzhov & E. E. Tareyeva

Authors
  1. D. Yu. Irz
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  2. V. N. Ryzhov
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  3. E. E. Tareyeva
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 104, No. 2, pp. 337–347, August, 1995.

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Irz, D.Y., Ryzhov, V.N. & Tareyeva, E.E. Statistical mechanics of a vortex system in a thin superconducting film in the cyclic approximation. II. Finite thickness and vortex bending. Theor Math Phys 104, 1035–1042 (1995). https://doi.org/10.1007/BF02065983

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  • DOI: https://doi.org/10.1007/BF02065983

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