Upper-critical dimension in a quantum impurity model: Critical theory of the asymmetric pseudogap Kondo problem

dc.creatorVojta, Matthias
dc.creatorFritz, Lars
dc.date2003-09-10
dc.date2004-03-26
dc.date.accessioned2026-07-07T02:53:23Z
dc.date.available2026-07-07T02:53:23Z
dc.descriptionImpurity moments coupled to fermions with a pseudogap density of states display a quantum phase transition between a screened and a free moment phase upon variation of the Kondo coupling. We describe the universal theory of this transition for the experimentally relevant case of particle-hole asymmetry. The theory takes the form of a crossing between effective singlet and doublet levels, interacting with low-energy fermions. Depending on the pseudogap exponent, this interaction is either relevant or irrelevant under renormalization group transformations, establishing the existence of an upper-critical "dimension" in this impurity problem. Using perturbative renormalization group techniques we compute various critical properties and compare with numerical results.
dc.description4 pages, 2 figs, (v2) title changed, log corrections for r=1 added
dc.identifierhttps://arxiv.org/abs/cond-mat/0309262
dc.identifierhttp://arxiv.org/abs/cond-mat/0309262
dc.identifierPhys. Rev. B 70, 094502 (2004)
dc.identifierdoi:10.1103/PhysRevB.70.094502
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22195
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.titleUpper-critical dimension in a quantum impurity model: Critical theory of the asymmetric pseudogap Kondo problem
dc.typetext

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