Level Correlations in Disordered Metals: the Replica sigma-Model

Details Level Correlations in Disordered Metals: the Replica sigma-Model Level Correlations in Disordered Metals: the Replica sigma-Model

1999-02-27

arxiv.org/abs/cond-mat/9903001v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

15 pages, no figures, added references

Scientific paper

10.1103/PhysRevB.60.3944

We compute energy level correlations in weakly disordered metallic grains using the fermionic replica method. We use the standard sigma-model approach and show that non--trivial saddle points, which break replica symmetry, must be included in the calculation to reproduce the oscillatory behavior of the correlations. We calculate the correlation functions in all three classical ensembles GOE, GUE and GSE including the finite-dimensional gradient corrections. Our results coincides with those obtained by the supersymmetric sigma-model and the semi-classical trace formula.

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