Density of eigenvalues of random band matrices
- 1 September 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 44 (5) , 2800-2808
- https://doi.org/10.1103/physreva.44.2800
Abstract
Using methods of supersymmetry, we calculate the distribution of eigenvalues for random Hermitian band matrices. We show that, if the bandwidth b increases with the dimension of matrices N as b∝ with some β>0, the resulting eigenvalue distribution is given by Wigner’s semicircle law as in the case of full random matrices of the Gaussian unitary ensemble.
Keywords
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