Microscopic derivation of two-component Ginzburg-Landau model and conditions of its applicability in two-band systems

Abstract

We report a microscopic derivation of two-component Ginzburg-Landau (GL) field theory and the conditions of its validity in two-band superconductors. We also investigate the conditions when microscopically derived or phenomenological GL models fail and one should resort to a microscopic description. We show that besides being directly applicable at elevated temperatures, a version of a minimal two-component GL theory in certain cases also gives accurate description of certain aspects of a two-band system even substantially far from $T_c$. This shows that two-component GL model can be used for addressing a wide range of questions in multiband systems, in particular vortex physics and magnetic response. We also argue that single Ginzburg-Landau parameter cannot in general characterize magnetic response of multiband systems.

10 pages, 3 figures, in print with PRB

References in corpus (4)

• Type-1.5 Superconductors
• Ginzburg-Landau theory of vortices in a multi-gap superconductor
• Limits of the upper critical field in dirty two-gap superconductors
• Theory of vortices in hybridized ballistic/diffusive-band superconductors

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