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Density of states for almost-diagonal random matrices | | Oleg Yevtushenko
; Vladimir E Kravtsov
; | | Date: |
31 Jan 2004 | | Journal: | Phys Rev E, 69 (2 Pt 2), 026104 | | Abstract: | We study the density of states (DOS) for disordered systems whose spectral statistics can be described by a Gaussian ensemble of almost-diagonal Hermitian random matrices. The matrices have independent random entries H(i > or =j) with small off-diagonal elements: <|H(i not equal to j)|2> << <|H(ii)|2> approximately 1. Using the recently suggested method of a virial expansion in the number of interacting energy levels [J. Phys. A 36, 8265 (2003)], we calculate the leading correction to the Poissonian DOS in the cases of the Gaussian orthogonal and unitary ensembles. We apply the general formula to the critical power-law banded random matrices and the unitary Moshe-Neuberger-Shapiro model and compare the DOS’s of these models. | | Source: | PubMed, pmid14995517 | | Services: | Forum | Review | Favorites | |
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