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Nucleation of Superconductivity in Low-Dimensional Systems Under Magnetic Fields

  • Vladimir Mineev
Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 595)

Abstract

This chapter presents a survey of the current state of art of the theory of the upper critical field in low-dimensional superconducting materials. Starting from the Ginzburg-Landau equation in the vicinity of the critical temperature we derive a new analytical expression for the angular and temperature dependence of the critical field in layered superconducting materials. This formula is shown to reproduce as limiting cases the well known results of Tinkham for an isolated film of finite thickness and of Lawrence-Doniach for the stacked array of films of zero thickness with its particular anisotropic Ginzburg-Landau limit. The well known theoretical statements of A.Lebed’ about a low temperature divergence of the upper critical field parallel to the conducting layers in the layered superconductors and the reentrance of the superconductivity in ultra-high magnetic fields are reinvestigated taking into account the scattering of quasiparticles by impurities. The upper limit of the superconductor purity yielding to a finite value of the upper critical field is established. The problem of the low temperature divergence of the upper critical field in bulk materials in the quantized magnetic field is discussed. The high field behavior of the critical temperature as a function of the magnetic field for a finite but high enough crystal purity is derived.

Keywords

Critical Temperature Landau Level Critical Field Landau Equation Layered Superconductor 
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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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Vladimir Mineev
    • 1
  1. 1.Commissariat à l’Energie Atomique, Département de Recherche Fondamentale sur la Matière CondenséeSPSMSGrenobleFrance

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