Exact Density of States for finite Gaussian Random Matrix Ensembles via Supersymmetry

Details Exact Density of States for finite Gaussian Random Matrix Ensembles via Supersymmetry Exact Density of States for finite Gaussian Random Matrix Ensembles via Supersymmetry

2002-01-31

arxiv.org/abs/cond-mat/0201585v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 7 figures

Scientific paper

10.1088/0305-4470/35/47/302

We calculate the exact density of states (DOS) for the three classical and two non-classical Random Matrix Ensembles for finite matrix size N using supersymmetric integrals. The 1/N-Expansion yields already in lowest order good approximations to the exact result even for small values of N~5. We conjecture a connection between the N-dependence of the oscillating part of the DOS and the short-distance behavior of the two-level correlation function.

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