Level number variance and spectral compressibility in a critical two-dimensional random matrix model

Autor:	Ossipov, A., Rushkin, I., Cuevas, E.
Rok vydání:	2011
Předmět:	Condensed Matter - Disordered Systems and Neural Networks Condensed Matter - Statistical Mechanics Mathematical Physics
Zdroj:	Phys. Rev. E 85, 021127 (2012)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.85.021127
Popis:	We study level number variance in a two-dimensional random matrix model characterized by a power-law decay of the matrix elements. The amplitude of the decay is controlled by the parameter b. We find analytically that at small values of b the level number variance behaves linearly, with the compressibility chi between 0 and 1, which is typical for critical systems. For large values of b, we derive that chi=0, as one would normally expect in the metallic phase. Using numerical simulations we determine the critical value of b at which the transition between these two phases occurs. Comment: 6 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1111.3520 Zobrazit plný text záznamu View this record from Arxiv