Density of States in a Mesoscopic SNS Junction

Details Density of States in a Mesoscopic SNS Junction Density of States in a Mesoscopic SNS Junction

2002-02-28

arxiv.org/abs/cond-mat/0202524v1

Pis'ma v ZhETF 75, 407 (2002) [JETP Lett. 75, 336 (2002)]

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 2 eps figures, JETP Letters style file included

Scientific paper

10.1134/1.1485263

Semiclassical theory of proximity effect predicts a gap E_g \sim hD/L^2 in the excitation spectrum of a long diffusive SNS junction. Mesoscopic fluctuations lead to anomalously localized states in the normal part of the junction. As a result, a non-zero, yet exponentially small, density of states appears at energies below E_g. In the framework of the supermatrix nonlinear sigma-model these prelocalized states are due to instanton configurations with broken supersymmetry. The exact result for the DOS near the semiclassical threshold is found provided the dimensionless conductance of the normal part is large. The case of poorly transparent interfaces between the normal and superconductive regions is also considered. In this limit the total number of the subgap states may be large.

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