Spectral Statistics Beyond Random Matrix Theory

Details Spectral Statistics Beyond Random Matrix Theory Spectral Statistics Beyond Random Matrix Theory

1995-03-27

arxiv.org/abs/cond-mat/9503141v1

Physics

Condensed Matter

Uuencoded file with two eps figures, 10 pages.

Scientific paper

10.1103/PhysRevLett.75.902

Using a nonperturbative approach we examine the large frequency asymptotics of the two-point level density correlator in weakly disordered metallic grains. This allows us to study the behavior of the two-level structure factor close to the Heisenberg time. We find that the singularities (present for random matrix ensembles) are washed out in a grain with a finite conductance. The results are nonuniversal (they depend on the shape of the grain and on its conductance), though they suggest a generalization for any system with finite Heisenberg time.

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