Anderson localization transition and eigenfunction multifractality in ensemble of ultrametric random matrices
Mesoscale and Nanoscale Physics
2015-05-14 v2 Disordered Systems and Neural Networks
Abstract
We demonstrate that by considering disordered single-particle Hamiltonians (or their random matrix versions) on ultrametric spaces one can generate an interesting class of models exhibiting Anderson metal-insulator transition. We use the weak disorder virial expansion to determine the critical value of the parameters and to calculate the values of the multifractal exponents for inverse participation ratios. Direct numerical simulations agree favourably with the analytical predictions.
Cite
@article{arxiv.0909.4704,
title = {Anderson localization transition and eigenfunction multifractality in ensemble of ultrametric random matrices},
author = {Y. V. Fyodorov and A. Ossipov and A. Rodriguez},
journal= {arXiv preprint arXiv:0909.4704},
year = {2015}
}
Comments
9 pages, 2 figures; slightly expanded version