Anderson localization transition and eigenfunction multifractality in ensemble of ultrametric random matrices

Autor:	Fyodorov, Y. V., Ossipov, A., Rodriguez, A.
Rok vydání:	2009
Předmět:	Condensed Matter - Mesoscale and Nanoscale Physics Condensed Matter - Disordered Systems and Neural Networks
Zdroj:	J. Stat. Mech. (2009) L12001
Druh dokumentu:	Working Paper
DOI:	10.1088/1742-5468/2009/12/L12001
Popis:	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. Comment: 9 pages, 2 figures; slightly expanded version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0909.4704 Zobrazit plný text záznamu View this record from Arxiv