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Spectral statistics in disordered metals: A trajectories approach

Spectral statistics in disordered metals: A trajectories approach

We show that the perturbative expansion of the two-level correlation function, $R(\omega)$, in disordered conductors can be understood semiclassically in terms of self-intersecting particle trajectories. This requires the extension of the standard diagonal approximation to include pairs of paths which are non-identical but have almost identical action. The number of …