Mathematical Research Letters

Volume 12, Issue 4, July 2005 pp. 531-542.

Semicircle law and freeness for random matrices with symmetries or correlations

Authors: Jeffrey H. Schenker (1) and Hermann Schulz-Baldes (2)
Author institution: Institut für Theoretische Physik, ETH (1) Mathematisches Institut, Universität Erlangen (2)

Summary: 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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