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Fractal superconductivity near localization threshold

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I will present a theory of a pseudogap state appearing near the superconductor-insulator transition in strongly disordered metals with attractive interaction. 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. Analytic expressions for the value of the pseudogap in terms of the inverse participation ratio of the corresponding localization problem.

This talk is part of the Theory of Condensed Matter series.

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