Sum rules and vertex corrections for electron-phonon interactions

Simple item page
dc.creatorRösch, O.
dc.creatorSangiovanni, G.
dc.creatorGunnarsson, O.
dc.date2006-07-24
dc.date.accessioned2026-07-07T07:41:12Z
dc.date.available2026-07-07T07:41:12Z
dc.descriptionWe derive sum rules for the phonon self-energy and the electron-phonon contribution to the electron self-energy of the Holstein-Hubbard model in the limit of large Coulomb interaction U. Their relevance for finite U is investigated using exact diagonalization and dynamical mean-field theory. Based on these sum rules, we study the importance of vertex corrections to the electron-phonon interactionin a diagrammatic approach. We show that they are crucial for a sum rule for the electron self-energy in the undoped system while a sum rule related to the phonon self-energy of doped systems is satisfied even if vertex corrections are neglected. We provide explicit results for the vertex function of a two-site model.
dc.description9 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0607612
dc.identifierhttp://arxiv.org/abs/cond-mat/0607612
dc.identifierPhys. Rev. B 75, 035119 (2007)
dc.identifierdoi:10.1103/PhysRevB.75.035119
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122016
dc.subjectStrongly Correlated Electrons
dc.subjectMaterials Science
dc.titleSum rules and vertex corrections for electron-phonon interactions
dc.typetext

Files

Collections

arXiv