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Keldysh Ginzburg-Landau action of fluctuating superconductors

2007/06/30 by Alex Levchenko, Alex Kamenev · 1 citation
Physics and Astronomy · #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.76.094518

published as Phys. Rev. B 76, 094518 (2007) · 16 pages, 2 figures

arxiv created 2007/09/24 · arxiv updated 2009/12/01

Abstract

We derive Ginzburg-Landau action by systematically integrating out electronic degrees of freedom in the framework of the Keldysh nonlinear sigma-model of disordered superconductors. The resulting Ginzburg-Landau functional contains a nonlocal Δ-dependent contribution to the diffusion constant, which leads, for example, to Maki-Thompson corrections. It also exhibits an anomalous Gor'kov-Eliashberg coupling between Δ and the scalar potential, as well as a peculiar nonlocal nonlinear term. The action is gauge invariant and satisfies the fluctuation dissipation theorem. It may be employed e.g. for calculation of higher moments of the current fluctuations.

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