Quasiparticle Lifetime in a Finite System: A Nonperturbative Approach

Phys. Rev. Lett. 78, 2803 – Published 7 April 1997
Boris L. Altshuler, Yuval Gefen, Alex Kamenev, and Leonid S. Levitov

Abstract

The problem of electron-electron lifetime in a quantum dot is studied beyond perturbation theory by mapping onto the problem of localization in the Fock space. Localized and delocalized regimes are identified, corresponding to quasiparticle spectral peaks of zero and finite width, respectively. In the localized regime, quasiparticle states are single-particle-like. In the delocalized regime, each eigenstate is a superposition of states with very different quasiparticle content. The transition energy is εcΔ(g/lng)1/2, where Δ is mean level spacing, and g is the dimensionless conductance. Near εc there is a broad critical region not described by the golden rule.

DOI: http://dx.doi.org/10.1103/PhysRevLett.78.2803

  • Received 30 August 1996
  • Published in the issue dated 7 April 1997

© 1997 The American Physical Society

Authors & Affiliations

Boris L. Altshuler1, Yuval Gefen2, Alex Kamenev2, and Leonid S. Levitov3

  • 1NEC Research Institute, 4 Independence Way, Princeton, New Jersey 08540
  • 2Department of Condensed Matter Physics, The Weizmann Institute of Science, Rehovot, 76100, Israel
  • 3Massachusetts Institute of Technology, 12-112, Cambridge, Massachusetts 02139

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