Single parameter scaling in one-dimensional localization revisited
Disordered Systems and Neural Networks
2009-10-31 v2
Abstract
The variance of the Lyapunov exponent is calculated exactly in the one-dimensional Anderson model with random site energies distributed according to the Cauchy distribution. We find a new significant scaling parameter in the system, and derive an exact analytical criterion for single parameter scaling which differs from the commonly used condition of phase randomization. The results obtained are applied to the Kronig-Penney model with the potential in the form of periodically positioned -functions with random strength.
Cite
@article{arxiv.cond-mat/9909155,
title = {Single parameter scaling in one-dimensional localization revisited},
author = {Lev I. Deych and A. A. Lisyansky and B. L. Altshuler},
journal= {arXiv preprint arXiv:cond-mat/9909155},
year = {2009}
}
Comments
Phys. Rev. Lett. 84, 2678 (2000)