Ginzburg-Landau theory of dirty two band $s_{\pm }$ superconductors

Abstract

In this paper we study the effect of non-magnetic impurities on two-band $s_{\pm }$ superconductors by deriving the corresponding Ginzburg-Landau (GL) equation. Depending on the strength of (impurity-induced) inter-band scattering we find that there are two distinctive regions where the superconductors behave very differently. In the strong impurity induced inter-band scattering regime $T_c<<{\tau }_t^{-1}$, where ${\tau }_t\sim$ mean-life time an electron stays in one band the two-band superconductor behaves as an effective one-band dirty superconductor. In the other limit $T_c\ge {\tau }_t^{-1}$, the dirty two-band superconductor is described by a network of frustrated two-band superconductor grains connected by Josepshon tunnelling junctions. We argue that most pnictide superconductors are in the later regime.

4 pages, 1 figure

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• Theory for superconductivity in (Tl,K)Fe${}_x$Se${}_2$ as a doped Mott insulator
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• Magneto-topological transitions in multicomponent superconductors
• Modulation of pairing symmetry with bond disorder in unconventional superconductors
• Enhancement of the superconducting transition temperature from the competition between electron-electron correlations and electron-phonon interactions