Localization in a rough billiard: A sigma model formulation
凝聚态物理
2016-08-31 v1
摘要
We consider the quantum dynamics of a particle in a weakly rough billiard. The Floquet operator for reflection at the boundary is obtained as a unitary band matrix. The resulting dynamics in angular momentum space can be treated in the framework of the one-dimensional supersymmetric nonlinear sigma model. We find analytically localization and the corresponding localization length where is the classical diffusion constant due to boundary scattering.
引用
@article{arxiv.cond-mat/9702145,
title = {Localization in a rough billiard: A sigma model formulation},
author = {Klaus M. Frahm},
journal= {arXiv preprint arXiv:cond-mat/9702145},
year = {2016}
}
备注
4 pages, Revtex, no figures, to appear in Phys. Rev. B, Rapid Communications