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Random matrix theory of the proximity effect in disordered wires.

Research output: Contribution to journalJournal articlepeer-review

Published
<mark>Journal publication date</mark>2003
<mark>Journal</mark>Physical review B
Volume67
Pages (from-to)024410
Publication StatusPublished
<mark>Original language</mark>English

Abstract

We study analytically the local density of states in a disordered normal-metal wire (N) at ballistic distance to a superconductor (S). Our calculation is based on a scattering-matrix approach, which concerns for wave-function localization in the normal metal, and extends beyond the conventional semiclassical theory based on Usadel and Eilenberger equations. We also analyze 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.