A perturbative study of delocalisation transition in one-dimensional models with long-range correlated disorder
Disordered Systems and Neural Networks
2007-05-23 v1
Abstract
We study the delocalisation transition which takes places in one-dimensional disordered systems when the random potential exhibits specific long-range correlations. We consider the case of weak disorder; using a systematic perturbative approach, we show how the delocalisation transition brings about a change of the scaling law of the inverse localisation length which ceases to be a quadratic function of the disorder strength and assumes a quartic form when the threshold separating the localised phase from the extended one is crossed.
Cite
@article{arxiv.cond-mat/0206165,
title = {A perturbative study of delocalisation transition in one-dimensional models with long-range correlated disorder},
author = {L. Tessieri},
journal= {arXiv preprint arXiv:cond-mat/0206165},
year = {2007}
}
Comments
9 pages, 1 figure, LaTeX file