Eigenfunction fractality and pseudogap state near superconductor-insulator transition

Details Eigenfunction fractality and pseudogap state near superconductor-insulator transition Eigenfunction fractality and pseudogap state near superconductor-insulator transition

2006-10-19

arxiv.org/abs/cond-mat/0610554v1

Phys. Rev. Lett. 98, 027001 (2007)

Physics

Condensed Matter

Superconductivity

Scientific paper

10.1103/PhysRevLett.98.027001

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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