Theory of superconducting pairing near the mobility edge
Abstract
We develop a theory of a pseudogap state appearing near the superconductorinsulator 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.
 Publication:

arXiv eprints
 Pub Date:
 April 2005
 DOI:
 10.48550/arXiv.condmat/0504766
 arXiv:
 arXiv:condmat/0504766
 Bibcode:
 2005cond.mat..4766F
 Keywords:

 Superconductivity;
 Strongly Correlated Electrons
 EPrint:
 4 pages, 2 figures