Band-center anomaly of the conductance distribution in one-dimensional Anderson localization

Abstract

We analyze the conductance distribution function in the one-dimensional Anderson model of localization, for arbitrary energy. For energy at the band center the distribution function deviates from the universal form assumed in single-parameter scaling theory. A direct link to the break-down of the random-phase approximation is established. Our findings are confirmed by a parameter-free comparison to the results of numerical simulations.

4 pages, 3 figures

Cited by in corpus (4)

• Functionals of the Brownian motion, localization and metric graphs
• Scaling and the center of band anomaly in a one-dimensional Anderson model with diagonal disorder
• Anomalies and non-log-normal tails in one-dimensional localization with power-law disorder
• Perturbative test of single parameter scaling for 1D random media