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

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

2009-06-30

arxiv.org/abs/0906.5411v1

Phys. Rev. Lett. 103, 236402 (2009)

Physics

Condensed Matter

Superconductivity

4 pages, 1 figure

Scientific paper

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 $T_c<<\tau^{-1}_t$, 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 $T_c\geq\tau^{-1}_t$, 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.

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