1996/09/15 by B. L. Altshuler, Y. Gefen, Yuval Gefen +4 · 11 citations
Engineering · Physics and Astronomy · #Molecular Junctions and Nanostructures #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #cond-mat
paper · pdf · doi:10.1103/physrevlett.78.2803
published as Phys. Rev. Lett. 78, 2803 (1997) · 13 pages, LaTeX, one figure
arxiv created 1996/09/15 · openalex publication_date 1997/04/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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 \ensuremathεc\ensuremath≃\ensuremathΔ(g/lng)1/2, where \ensuremathΔ is mean level spacing, and g is the dimensionless conductance. Near \ensuremathεc there is a broad critical region not described by the golden rule.