Universal Conductance Distributions in the Crossover between Diffusive and Localization Regimes
Disordered Systems and Neural Networks
2009-11-07 v1 Mesoscale and Nanoscale Physics
Abstract
The full distribution of the conductance in quasi-one-dimensional wires with rough surfaces is analyzed from the diffusive to the localization regime. In the crossover region, where the statistics is dominated by only one or two eigenchannels, the numerically obtained P(G) is found to be independent of the details of the system with the average conductance <G> as the only scaling parameter. For <G> < e^2/h, P(G) is given by an essentially ``one-sided'' log-normal distribution. In contrast, for e^2/h < <G> <= 2e^2/h, the shape of P(G) remarkable agrees with those predicted by random matrix theory for two fluctuating transmission eigenchannels.
Cite
@article{arxiv.cond-mat/0107395,
title = {Universal Conductance Distributions in the Crossover between Diffusive and Localization Regimes},
author = {A. Garcia-Martin and J. J. Saenz},
journal= {arXiv preprint arXiv:cond-mat/0107395},
year = {2009}
}
Comments
Accepted for publication in Phys. Rev. Lett