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• W1998367042 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." @default.
• W1998367042 created "2016-06-24" @default.
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• W1998367042 date "2004-02-17" @default.
• W1998367042 modified "2023-10-06" @default.
• W1998367042 title "Density of states for almost-diagonal random matrices" @default.
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• W1998367042 doi "https://doi.org/10.1103/physreve.69.026104" @default.
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