Ginzburg-Landau Analysis of the Critical Temperature and the Upper Critical Field for Three-Band Superconductors

Using the microscopic formalism of Eilenberger equations, a three-band Ginzburg-Landau theory for the intraband dirty limit and clean interband scattering case is derived. Within the framework of this three-band Ginzburg-Landau theory, expressions for the critical temperature T c and the temperature...

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Veröffentlicht in:Journal of low temperature physics 2013-12, Vol.173 (5-6), p.247-263
Hauptverfasser: Yerin, Y., Drechsler, S.-L., Fuchs, G.
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Fuchs, G.
description Using the microscopic formalism of Eilenberger equations, a three-band Ginzburg-Landau theory for the intraband dirty limit and clean interband scattering case is derived. Within the framework of this three-band Ginzburg-Landau theory, expressions for the critical temperature T c and the temperature dependence of the upper critical field H c 2 are obtained. Based on some special cases of the matrix of interaction constants, we demonstrate the influence of the sign of the interband interaction on the critical temperature and the upper critical field as compared with a two-band superconductor where it plays no role. We study also analytically and numerically the effect of its magnitude.
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subjects Characterization and Evaluation of Materials
Cleaning
Condensed Matter Physics
Constants
Critical temperature
Formalism
Low temperature physics
Magnetic Materials
Magnetism
Mathematical analysis
Physics
Physics and Astronomy
Superconductors
Temperature dependence
title Ginzburg-Landau Analysis of the Critical Temperature and the Upper Critical Field for Three-Band Superconductors
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