Localization-delocalization transition in one-dimensional electron systems with long-range correlated disorder
Disordered Systems and Neural Networks
2009-11-10 v1 Mesoscale and Nanoscale Physics
Abstract
We investigate localization properties of electron eigenstates in one-dimensional (1d) systems with long-range correlated diagonal disorder. Numerical studies on the localization length of eigenstates demonstrate the existence of the localization-delocalization transition in 1d systems and elucidate non-trivial behavior of as a function of the disorder strength. The critical exponent for localization length is extracted for various values of parameters characterizing the disorder, revealing that every disobeys the Harris criterion .
Cite
@article{arxiv.cond-mat/0407019,
title = {Localization-delocalization transition in one-dimensional electron systems with long-range correlated disorder},
author = {H. Shima and T. Nomura and T. Nakayama},
journal= {arXiv preprint arXiv:cond-mat/0407019},
year = {2009}
}
Comments
6 pages, 6 figuers, to be published in Phys. Rev. B