What is the Thouless Energy for Ballistic Systems?

Alexander Altland, Yuval Gefen, and Gilles Montambaux
Phys. Rev. Lett. 76, 1130 – Published 12 February 1996
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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.

  • Received 7 December 1994

DOI:https://doi.org/10.1103/PhysRevLett.76.1130

©1996 American Physical Society

Authors & Affiliations

Alexander Altland

  • Institut für Theoretische Physik, Universtät zu Köln, Zülpicher Strasse 77, D-50937 Köln, Germany

Yuval Gefen

  • The Weizmann Institute of Science, Department of Condensed Matter Physics, 76100 Rehovot, Israel

Gilles Montambaux

  • Laboratoire de Physique des Solides, Université Paris-Sud, 91405 Orsay, France

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Vol. 76, Iss. 7 — 12 February 1996

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