Log-normal Distribution of Level Curvatures in the Localized Regime: Analytical Verification
Disordered Systems and Neural Networks
2010-02-25 v1 Mesoscale and Nanoscale Physics
Abstract
We study numerically and analytically the moments of the dimensionless level curvature for one-dimensional disordered rings of the circumference L pierced by a magnetic flux. The negative moments of the curvature distribution can be evaluated analytically in the extreme localization limit. The ensuing small curvature asymptotic of the corresponding distribution has a "log-normal" behavior. Numerically studied positive moments show differences from other log-normally distributed quantities.
Keywords
Cite
@article{arxiv.cond-mat/9611235,
title = {Log-normal Distribution of Level Curvatures in the Localized Regime: Analytical Verification},
author = {Michael Titov and Daniel Braun and Yan V. Fyodorov},
journal= {arXiv preprint arXiv:cond-mat/9611235},
year = {2010}
}
Comments
4 pages (revtex), 1 figure (ps file)