Energy level statistics of a critical random matrix ensemble
Mesoscale and Nanoscale Physics
2009-11-10 v1 Disordered Systems and Neural Networks
Statistical Mechanics
Abstract
We study level statistics of a critical random matrix ensemble of a power-law banded complex Hermitean matrices. We compute numerically the level compressibility via the level number variance and compare it with the analytical formula for the exactly solvable model of Moshe, Neuberger and Shapiro.
Keywords
Cite
@article{arxiv.cond-mat/0302569,
title = {Energy level statistics of a critical random matrix ensemble},
author = {Macleans L. Ndawana and V. E. Kravtsov},
journal= {arXiv preprint arXiv:cond-mat/0302569},
year = {2009}
}
Comments
8 pages, 3 figures