Nonuniversality in quantum wires with off-diagonal disorder: a geometric point of view
Abstract
It is shown that, in the scaling regime, transport properties of quantum wires with off-diagonal disorder are described by a family of scaling equations that depend on two parameters: the mean free path and an additional continuous parameter. The existing scaling equation for quantum wires with off-diagonal disorder [Brouwer et al., Phys. Rev. Lett. 81, 862 (1998)] is a special point in this family. Both parameters depend on the details of the microscopic model. Since there are two parameters involved, instead of only one, localization in a wire with off-diagonal disorder is not universal. We take a geometric point of view and show that this nonuniversality follows from the fact that the group of transfer matrices is not semi-simple. Our results are illustrated with numerical simulations for a tight-binding model with random hopping amplitudes.
Keywords
Cite
@article{arxiv.cond-mat/9904201,
title = {Nonuniversality in quantum wires with off-diagonal disorder: a geometric point of view},
author = {P. W. Brouwer and C. Mudry and A. Furusaki},
journal= {arXiv preprint arXiv:cond-mat/9904201},
year = {2009}
}
Comments
12 pages, RevTeX; 3 figures included with epsf