Persistent Currents in Quantum Chaotic Systems
介观与纳米尺度物理
2016-08-31 v1 chao-dyn
混沌动力学
摘要
The persistent current of ballistic chaotic billiards is considered with the help of the Gutzwiller trace formula. We derive the semiclassical formula of a typical persistent current for a single billiard and an average persistent current for an ensemble of billiards at finite temperature. These formulas are used to show that the persistent current for chaotic billiards is much smaller than that for integrable ones. The persistent currents in the ballistic regime therefore become an experimental tool to search for the quantum signature of classical chaotic and regular dynamics.
关键词
引用
@article{arxiv.cond-mat/9906006,
title = {Persistent Currents in Quantum Chaotic Systems},
author = {Shiro Kawabata},
journal= {arXiv preprint arXiv:cond-mat/9906006},
year = {2016}
}
备注
4 pages (RevTex), to appear in Phys. Rev. B, No.59, 12256-12259 (1999)