Exactly Solvable Scaling Theory of Conduction in Disordered Wires
Abstract
Recent developments are reviewed in the scaling theory of phase-coherent conduction through a disordered wire. The Dorokhov-Mello-Pereyra-Kumar equation for the distribution of transmission eigenvalues has been solved exactly, in the absence of time-reversal symmetry. Comparison with the previous prediction of random-matrix theory shows that this prediction was highly accurate --- but not exact: The repulsion of the smallest eigenvalues was overestimated by a factor of two. This factor of two resolves several disturbing discrepancies between random-matrix theory and microscopic calculations, notably in the magnitude of the universal conductance fluctuations in the metallic regime, and in the width of the log-normal conductance distribution in the insulating regime. ***To be published as a "Brief Review" in Modern Physics Letters B.****
Keywords
Cite
@article{arxiv.cond-mat/9403033,
title = {Exactly Solvable Scaling Theory of Conduction in Disordered Wires},
author = {C. W. J. Beenakker},
journal= {arXiv preprint arXiv:cond-mat/9403033},
year = {2013}
}
Comments
9 pages, LATEX, INLO-PUB-940309a