Universal and non-universal features of the multifractality exponents of critical wave-functions
Disordered Systems and Neural Networks
2015-05-27 v2
Abstract
We calculate perturbatively the multifractality spectrum of wave-functions in critical random matrix ensembles in the regime of weak multifractality. We show that in the leading order the spectrum is universal, while the higher order corrections are model-specific. Explicit results for the anomalous dimensions are derived in the power-law and ultrametric random matrix ensembles.
Keywords
Cite
@article{arxiv.1101.4532,
title = {Universal and non-universal features of the multifractality exponents of critical wave-functions},
author = {I. Rushkin and A. Ossipov and Y. V. Fyodorov},
journal= {arXiv preprint arXiv:1101.4532},
year = {2015}
}
Comments
9 pages