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Phys. Rev. Lett. 75, 902–905 (1995)

Spectral Statistics beyond Random Matrix Theory

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A. V. Andreev and B. L. Altshuler
NECI, 4 Independence Way, Princeton, New Jersey 08540
and Department of Physics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139

Received 23 March 1995; published in the issue dated 31 July 1995

Using a nonperturbative approach we examine the large frequency asymptotics of the two-point level density correlator in weakly disordered metallic grains. We find that the singularities of the structure factor at the Heisenberg time (present for random matrix ensembles) are washed out when conductance is finite. 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.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.75.902
DOI:
10.1103/PhysRevLett.75.902
PACS:
71.30.+h, 05.60.+w, 72.15.Rn