Chaos in Andreev Billiards
Condensed Matter
2009-10-28 v1 chao-dyn
Chaotic Dynamics
Abstract
A new type of classical billiard - the Andreev billiard - is investigated using the tangent map technique. Andreev billiards consist of a normal region surrounded by a superconducting region. In contrast with previously studied billiards, Andreev billiards are integrable in zero magnetic field, {\it regardless of their shape}. A magnetic field renders chaotic motion in a generically shaped billiard, which is demonstrated for the Bunimovich stadium by examination of both Poincar\'e sections and Lyapunov exponents. The issue of the feasibility of certain experimental realizations is addressed.
Cite
@article{arxiv.cond-mat/9504110,
title = {Chaos in Andreev Billiards},
author = {Ioan Kosztin and Dmitrii L. Maslov and Paul M. Goldbart},
journal= {arXiv preprint arXiv:cond-mat/9504110},
year = {2009}
}
Comments
ReVTeX3.0, 4 pages, 3 figures appended as postscript file (uuencoded with uufiles)