Localization from sigma-model geodesics
Mesoscale and Nanoscale Physics
2009-11-10 v2
Abstract
We use a novel method based on the semi-classical analysis of sigma-models to describe the phenomenon of strong localization in quasi one-dimensional conductors, obtaining the full distribution of transmission eigenvalues. For several symmetry classes, describing random superconducting and chiral Hamiltonians, the target space of the appropriate sigma-model is a (super)group manifold. In these cases our approach turns out to be exact. The results offer a novel perspective on localization.
Cite
@article{arxiv.cond-mat/0402588,
title = {Localization from sigma-model geodesics},
author = {A. Lamacraft and B. D. Simons and M. R. Zirnbauer},
journal= {arXiv preprint arXiv:cond-mat/0402588},
year = {2009}
}
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