Work

Quasiparticle Lifetime in a Finite System: A Nonperturbative Approach

Year: 1997
Type: article
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 ${\ensuremath{\epsilon}}_{c}\ensuremath{\simeq}\ensuremath{\Delta}(g/\mathrm{ln}g{)}^{1/2}$, where $\ensuremath{\Delta}$ is mean level spacing, and $g$ is the dimensionless conductance. Near ${\ensuremath{\epsilon}}_{c}$ there is a broad critical region not described by the golden rule.
Language: English
Open Access status: green
OpenAlex ID: W2013627611
FWCI: 19.41
Cites: 11
Cited by: 654
Related to: 10