Fermi Edge Singularities in the Mesoscopic Regime: I. Anderson Orthogonality Catastrophe

Simple item page
dc.creatorHentschel, Martina
dc.creatorUllmo, Denis
dc.creatorBaranger, Harold U.
dc.date2005-03-14
dc.date.accessioned2026-07-07T06:31:33Z
dc.date.available2026-07-07T06:31:33Z
dc.descriptionFor generic mesoscopic systems like quantum dots or nanoparticles, we study the Anderson orthogonality catastrophe (AOC) and Fermi edge singularities in photoabsorption spectra in a series of two papers. In the present paper we focus on AOC for a finite number of particles in discrete energy levels where, in contrast to the bulk situation, AOC is not complete. Moreover, fluctuations characteristic for mesoscopic systems lead to a broad distribution of AOC ground state overlaps. The fluctuations originate dominantly in the levels around the Fermi energy, and we derive an analytic expression for the probability distribution of AOC overlaps in the limit of strong perturbations. We address the formation of a bound state and its importance for symmetries between the overlap distributions for attractive and repulsive potentials. Our results are based on a random matrix model for the chaotic conduction electrons that are subject to a rank one perturbation corresponding, e.g., to the localized core hole generated in the photoabsorption process.
dc.description10 pages, 8 figures, submitted to Phys. Rev. B
dc.identifierhttps://arxiv.org/abs/cond-mat/0503330
dc.identifierhttp://arxiv.org/abs/cond-mat/0503330
dc.identifierPhys. Rev. B 72, 035310 (2005).
dc.identifierdoi:10.1103/PhysRevB.72.035310
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98638
dc.subjectMesoscale and Nanoscale Physics
dc.titleFermi Edge Singularities in the Mesoscopic Regime: I. Anderson Orthogonality Catastrophe
dc.typetext

Files

Collections

arXiv