Quasiclassical fluctuations of the superconductor proximity gap in a chaotic system
Abstract
We calculate the sampletosample fluctuations in the excitation gap of a chaotic dynamical system coupled by a narrow lead to a superconductor. Quantum fluctuations of the order of magnitude of the level spacing, predicted by randommatrix theory, apply if τ_{E}≪ħ/E_{T} (with τ_{E} the Ehrenfest time and E_{T} the Thouless energy). For τ_{E}≳ħ/E_{T} the fluctuations are much greater than the level spacing. We demonstrate the quasiclassical nature of the gap fluctuations in the largeτ_{E} regime by correlating them to an integral over the classical dwelltime distribution.
 Publication:

Physical Review B
 Pub Date:
 December 2003
 DOI:
 10.1103/PhysRevB.68.220501
 arXiv:
 arXiv:condmat/0306731
 Bibcode:
 2003PhRvB..68v0501G
 Keywords:

 74.45.+c;
 03.65.Sq;
 05.45.Mt;
 74.78.Na;
 Proximity effects;
 Andreev effect;
 SN and SNS junctions;
 Semiclassical theories and applications;
 Quantum chaos;
 semiclassical methods;
 Mesoscopic and nanoscale systems;
 Condensed Matter  Mesoscopic Systems and Quantum Hall Effect
 EPrint:
 4 pages, 3 figures