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Bulletin of the Lebedev Physics Institute

, Volume 42, Issue 1, pp 1–6 | Cite as

Calculation of the temperature dependences of the critical field and the density of critical current for a superconducting plate within the Ginzburg-Landau theory

  • P. I. BezotosnyiEmail author
  • S. Yu. Gavrilkin
  • A. N. Lykov
  • A. Yu. Tsvetkov
Article

Abstract

The state of a superconducting plate with transport current in a magnetic field parallel to its surface is studied using Ginzburg-Landau (GL) equations. These equations in the one-dimensional case are solved by numerical methods using general boundary conditions for the order parameter. The temperature dependences of the critical current density and critical magnetic field for a superconducting plate are determined and analyzed at various extrapolation lengths Λ, i.e., the parameter defining the boundary conditions. The effect of the parameter Λ on the shape of obtained dependences is studied.

Keywords

superconducting films critical current boundary conditions Ginzburg-Landau theory 

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Copyright information

© Allerton Press, Inc. 2015

Authors and Affiliations

  • P. I. Bezotosnyi
    • 1
    Email author
  • S. Yu. Gavrilkin
    • 1
  • A. N. Lykov
    • 1
  • A. Yu. Tsvetkov
    • 1
  1. 1.Lebedev Physical InstituteRussian Academy of SciencesMoscowRussia

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