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20 April 2024
 
  » arxiv » cond-mat/0012478

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Density of States below the Thouless Gap in a Mesoscopic SNS Junction
P. M. Ostrovsky ; M. A. Skvortsov ; M. V. Feigel’man ;
Date 27 Dec 2000
Journal Phys. Rev. Lett. 87, 027002 (2001)
Subject Mesoscopic Systems and Quantum Hall Effect; Superconductivity | cond-mat.mes-hall cond-mat.supr-con
AbstractQuasiclassical theory predicts an existence of a sharp energy gap E_g sim D/L^2 in the excitation spectrum of a long diffusive superconductor--normal metal--superconductor (SNS) junction. We show that mesoscopic fluctuations remove the sharp edge of the spectrum, leading to a nonzero DoS for all energies. Physically, this effect originates from the quasi-localized states in the normal metal. Technically, we use an extension of Efetov’s supermatrix sigma-model for mixed NS systems. We demonstrate the equivalence of the supersymmetric saddle-point solution to the standard quasiclassical Usadel solution, and show that the instanton solution with broken supersymmetry provides a non-zero DoS at energies E < E_g.
Source arXiv, cond-mat/0012478
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