Superconducting transition temperature in thin films
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 (Tc) of a film as a function of its thickness (L). We show that Tc 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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