Scaling for level statistics from self-consistent theory of localization
Disordered Systems and Neural Networks
2015-06-18 v1
Abstract
Accepting validity of self-consistent theory of localization by Vollhardt and Woelfle, we derive the relations of finite-size scaling for different parameters characterizing the level statistics. The obtained results are compared with the extensive numerical material for space dimensions d=2,3,4. On the level of raw data, the results of numerical experiments are compatible with the self-consistent theory, while the opposite statements of the original papers are related with ambiguity of interpretation and existence of small parameters of the Ginzburg number type.
Cite
@article{arxiv.1402.2382,
title = {Scaling for level statistics from self-consistent theory of localization},
author = {I. M. Suslov},
journal= {arXiv preprint arXiv:1402.2382},
year = {2015}
}
Comments
Latex, 18 pages, 12 figures included