Quasiparticle lifetime in a finite system: A nonperturbative approach

Boris L. Altshuler, Yuval Gefen, Alex Kamenev, Leonid S. Levitov

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431 Scopus citations

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 εc≈Δ(g/ln g)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.

Original languageEnglish (US)
Pages (from-to)2803-2806
Number of pages4
JournalPhysical review letters
Volume78
Issue number14
DOIs
StatePublished - Apr 7 1997

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