Different length-scales for order parameters in two-gap superconductors: the extended Ginzburg-Landau theory

Abstract

Using the Ginzburg-Landau theory extended to the next-to-leading order we determine numerically the healing lengths of the two order parameters at the two-gap superconductor/normal metal interface. We demonstrate on several examples that those can be significantly different even in the strict domain of applicability of the Ginzburg-Landau theory. This justifies the use of this theory to describe relevant physics of two-gap superconductors, distinguishing them from their single-gap counterparts. The calculational degree of complexity increases only slightly with respect to the conventional Ginzburg-Landau expansion, thus the extended Ginzburg-Landau model remains numerically far less demanding compared to the full microscopic approaches.

5 pages, 4 figures

References in corpus (7)

• Type-1.5 Superconductors
• Vortex Imaging in the pi-Band of Magnesium Diboride
• Ginzburg-Landau theory of vortices in a multi-gap superconductor
• Superfluid density and specific heat within self-consistent scheme for two-band superconductor
• Crossover from 2D to 3D in a weakly interacting Fermi gas
• Extended Ginzburg-Landau formalism for two-band superconductors
• Conditions for non-monotonic vortex interaction in two-band superconductors

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