Parametric invariant Random Matrix Model and the emergence of multifractality
Mesoscale and Nanoscale Physics
2009-11-11 v2
Abstract
We propose a random matrix modeling for the parametric evolution of eigenstates. The model is inspired by a large class of quantized chaotic systems. Its unique feature is having parametric invariance while still possessing the non-perturbative crossover that has been discussed by Wigner 50 years ago. Of particular interest is the emergence of an additional crossover to multifractality.
Keywords
Cite
@article{arxiv.cond-mat/0508497,
title = {Parametric invariant Random Matrix Model and the emergence of multifractality},
author = {J. A. Mendez-Bermudez and Tsampikos Kottos and Doron Cohen},
journal= {arXiv preprint arXiv:cond-mat/0508497},
year = {2009}
}
Comments
7 pages, 6 figures, expanded version