Localization from sigma-model geodesics

Details Localization from sigma-model geodesics Localization from sigma-model geodesics

2004-02-24

arxiv.org/abs/cond-mat/0402588v2

Phys. Rev. B 70, 075412 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Published version

Scientific paper

10.1103/PhysRevB.70.075412

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.

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