Theory of superconducting pairing near the mobility edge

Details Theory of superconducting pairing near the mobility edge Theory of superconducting pairing near the mobility edge

2005-04-28

arxiv.org/abs/cond-mat/0504766v1

Physics

Condensed Matter

Superconductivity

4 pages, 2 figures

Scientific paper

We develop a theory of a pseudogap state appearing near the superconductor-insulator transition in strongly disordered metals with attractive interaction. We show that such an interaction combined with the fractal nature of the single particle wave functions near the mobility edge leads to an anomalously large single particle gap in the superconducting state near SI transition that persists and even increases in the insulating state long after the superconductivity is destroyed. We give analytic expressions for the value of the pseudogap in terms of the inverse participation ratio of the corresponding localization problem.

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