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What is the Thouless Energy for Ballistic Systems?

arXiv:cond-mat/9511082 · doi:10.1103/PhysRevLett.76.1130

Abstract

The Thouless energy, $\Ec$ characterizes numerous quantities associated with sensitivity to boundary conditions in diffusive mesoscopic conductors. What happens to these quantities if the disorder strength is decreased and a transition to the ballistic regime takes place? In the present analysis we refute the intuitively plausible assumption that $\Ec$ loses its meaning as an inverse diffusion time through the system at hand, and generally disorder independent scales take over. Instead we find that a variety of (thermodynamic) observables are still characterized by the Thouless energy.

4 pages REVTEX, uuencoded file. To appear in Physical Review Letters