Quantized invariant tori in Andreev billiards of mixed phase space
Mesoscale and Nanoscale Physics
2007-05-23 v2 Superconductivity
Abstract
Comparing the results of exact quantum calculations and those obtained from the EBK-like quantization scheme of Silvestrov et al [Phys. Rev. Lett. 90, 116801 (2003)] we show that the spectrum of Andreev billiards of mixed phase space can basically be decomposed into a regular and an irregular part, similarly to normal billiards. We provide the first numerical confirmation of the validity of this quantization scheme for individual eigenstates and discuss its accuracy.
Cite
@article{arxiv.cond-mat/0601422,
title = {Quantized invariant tori in Andreev billiards of mixed phase space},
author = {Z. Kaufmann and A. Kormányos and J. Cserti and C. J. Lambert},
journal= {arXiv preprint arXiv:cond-mat/0601422},
year = {2007}
}
Comments
4 pages, 2 figures