1998/12/03 by X. Leyronas, J. Tworzydlo, J. Tworzydło +1 · 1 citation
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.82.4894
published as Phys.Rev.Lett. 82, 4894 (1999) · 4 pages, 3 figures
arxiv created 1998/12/03 · openalex publication_date 1999/06/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The decay of a quasiparticle in a confined geometry, resulting from electron-electron interactions, has been mapped onto the single-electron problem of diffusion on a Cayley tree discussed by Altshuler et al. [Phys. Rev. Lett. 78, 2803 (1997)]. We study an alternative model that captures the strong correlations between the self-energies of different excitations with the same number of quasiparticles. The model has a recursion relation for the single-particle density of states that is markedly different from that of the Cayley tree. It remains tractable enough such that sufficiently large systems can be studied to observe a breakdown of the golden rule of perturbation theory with decreasing excitation energy.