`One-sided' log-normal distribution of conductances of a disordered quantum wire
Disordered Systems and Neural Networks
2009-10-31 v2
Abstract
We develop a simple systematic method, valid for all strengths of disorder, to obtain analytically for the first time the full distribution of conductance P(g) for a quasi one dimensional wire in the absence of electron-electron interaction. We show that in the crossover region between the metallic and insulating regimes, P(g) is highly asymmetric, given by an essentially `one sided' log-normal distribution. For larger disorder, the tail of the log-normal distribution for g > 1 is cut off by a Gaussian.
Keywords
Cite
@article{arxiv.cond-mat/9907235,
title = {`One-sided' log-normal distribution of conductances of a disordered quantum wire},
author = {K. A. Muttalib and P. Wölfle},
journal= {arXiv preprint arXiv:cond-mat/9907235},
year = {2009}
}
Comments
7 pages, 2 figures. Summary and new references added. Final version, published in Phys. Rev. Lett