Quantum-to-classical crossover for Andreev billiards in a magnetic field
Mesoscale and Nanoscale Physics
2007-05-23 v2
Abstract
We extend the existing quasiclassical theory for the superconducting proximity effect in a chaotic quantum dot, to include a time-reversal-symmetry breaking magnetic field. Random-matrix theory (RMT) breaks down once the Ehrenfest time becomes longer than the mean time between Andreev reflections. As a consequence, the critical field at which the excitation gap closes drops below the RMT prediction as is increased. Our quasiclassical results are supported by comparison with a fully quantum mechanical simulation of a stroboscopic model (the Andreev kicked rotator).
Keywords
Cite
@article{arxiv.cond-mat/0505206,
title = {Quantum-to-classical crossover for Andreev billiards in a magnetic field},
author = {M. C. Goorden and Ph. Jacquod and C. W. J. Beenakker},
journal= {arXiv preprint arXiv:cond-mat/0505206},
year = {2007}
}
Comments
11 pages, 10 figures