Fokker-Planck equations and density of states in disordered quantum wires
Disordered Systems and Neural Networks
2009-10-31 v2 Mesoscale and Nanoscale Physics
Abstract
We propose a general scheme to construct scaling equations for the density of states in disordered quantum wires for all ten pure Cartan symmetry classes. The anomalous behavior of the density of states near the Fermi level for the three chiral and four Bogoliubov-de Gennes universality classes is analysed in detail by means of a mapping to a scaling equation for the reflection from a quantum wire in the presence of an imaginary potential.
Keywords
Cite
@article{arxiv.cond-mat/0011146,
title = {Fokker-Planck equations and density of states in disordered quantum wires},
author = {M. Titov and P. W. Brouwer and A. Furusaki and C. Mudry},
journal= {arXiv preprint arXiv:cond-mat/0011146},
year = {2009}
}
Comments
10 pages, 5 figures, revised version