Universal and non-universal features of the multifractality exponents of critical wave-functions

Autor:	Rushkin, I., Ossipov, A., Fyodorov, Y. V.
Rok vydání:	2011
Předmět:	Condensed Matter - Disordered Systems and Neural Networks
Zdroj:	J. Stat. Mech. (2011) L03001
Druh dokumentu:	Working Paper
DOI:	10.1088/1742-5468/2011/03/L03001
Popis:	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. Comment: 9 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1101.4532 Zobrazit plný text záznamu View this record from Arxiv