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Superconducting transition temperature in thin films

A. P. C. Malbouisson·J. M. C. Malbouisson·A. E. Santana
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Abstract

By considering the Ginzburg-Landau model, compactified in one of the spatial dimensions, and using a modified Matsubara formalism, we determine the dependence of the superconducting transition temperature (T_c) of a film as a function of its thickness (L). We show that T_c is a decreasing linear function of L^{-1}, as has been found experimentally. The critical thickness for the suppression of superconductivity is expressed in terms of the Ginzburg-Landau parameters.

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A. P. C. Malbouisson, J. M. C. Malbouisson, A. E. Santana. 2002-08-28. Superconducting transition temperature in thin films. https://arxiv.org/abs/cond-mat/0205176

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