Localization and Mobility Edge in One-Dimensional Potentials with Correlated Disorder
Disordered Systems and Neural Networks
2009-10-31 v2
Abstract
We show that a mobility edge exists in 1D random potentials provided specific long-range correlations. Our approach is based on the relation between binary correlator of a site potential and the localization length. We give the algorithm to construct numerically potentials with mobility edge at any given energy inside allowed zone. Another natural way to generate such potentials is to use chaotic trajectories of non-linear maps. Our numerical calculations for few particular potentials demonstrate the presence of mobility edges in 1D geometry.
Keywords
Cite
@article{arxiv.cond-mat/9812209,
title = {Localization and Mobility Edge in One-Dimensional Potentials with Correlated Disorder},
author = {F. M. Izrailev and A. A. Krokhin},
journal= {arXiv preprint arXiv:cond-mat/9812209},
year = {2009}
}
Comments
4 pages in RevTex and 2 Postscript figures; revised version published in Phys. Rev. Lett. 82 (1999) 4062