Effective description of the gap fluctuation for chaotic Andreev billiards
A. Kormányos, Z. Kaufmann, C. J. Lambert, J. Cserti
DOI 10.1103/PhysRevB.70.052512 · Physical Review B
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
We present a numerical study of the universal gap fluctuations and the ensemble averaged density of states (DOS) of chaotic two-dimensional Andreev billiards for finite Ehrenfest time τE. We show that the distribution function of the gap fluctuation for small enough Ehrenfest time can be related to that derived earlier for zero Ehrenfest time. An effective description based on the random matrix theory is proposed giving a good agreement with the numerical results. A systematic linear decrease of the mean field gap with increasing Ehrenfest time τE is observed but its derivative with respect to τE is in between two competing theoretical predictions and close to that of the recent numerical calculations for Andreev map. The exponential tail of the density of states is interpreted semiclassically.
Similar papers
Density of states of chaotic Andreev billiards
similarity 0.92Jack Kuipers et al.
Source status unknown — claims are unverified
Quantum disorder and quantum chaos in Andreev billiards
similarity 0.90M. G. Vavilov & A. I. Larkin
Source status unknown — claims are unverified
Effective Random Matrix Theory description of chaotic Andreev billiards
similarity 0.90A. Kormányos et al. · 2003 · arXiv:cond-mat/0309306
Source status unknown — claims are unverified
Spectrum of the Andreev Billiard and Giant Fluctuations of the Ehrenfest Time
similarity 0.90P. G. Silvestrov
Source status unknown — claims are unverified
Microscopic Theory of the Andreev Gap
similarity 0.89Tobias Micklitz & Alexander Altland
Source status unknown — claims are unverified
Quasiclassical fluctuations of the superconductor proximity gap in a chaotic system
similarity 0.89M. C. Goorden et al.
Source status unknown — claims are unverified