Random matrix theory of proximity effect in disordered wires
Disordered Systems and Neural Networks
2009-09-29 v2 Superconductivity
Abstract
We study analytically the local density of states in a disordered normal-metal wire at ballistic distance to a superconductor. Our calculation is based on a scattering-matrix approach, which concerns for wave-function localisation in the normal metal, and extends beyond the conventional semiclassical theory based on Usadel and Eilenberger equations. We also analyse how a finite transparency of the NS interface modifies the spectral proximity effect and demonstrate that our results agree in the dirty diffusive limit with those obtained from the Usadel equation.
Keywords
Cite
@article{arxiv.cond-mat/0208107,
title = {Random matrix theory of proximity effect in disordered wires},
author = {M. Titov and H. Schomerus},
journal= {arXiv preprint arXiv:cond-mat/0208107},
year = {2009}
}
Comments
12 pages, 8 figures, new section on Usadel equation is added