Semicircle law and freeness for random matrices with symmetries or correlations

Details Semicircle law and freeness for random matrices with symmetries or correlations Semicircle law and freeness for random matrices with symmetries or correlations

2005-05-02

arxiv.org/abs/math-ph/0505003v1

Mathematical Research Letters 12 (2005), 531-542

Physics

Mathematical Physics

14 pages, Latex. To appear in Math. Res. Lett

Scientific paper

For a class of random matrix ensembles with correlated matrix elements, it is
shown that the density of states is given by the Wigner semi-circle law. This
is applied to effective Hamiltonians related to the Anderson model in
dimensions greater than or equal to two.

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