Universal crossovers and critical dynamics of quantum phase transitions: A renormalization group study of the pseudogap Kondo problem

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dc.creatorFritz, Lars
dc.creatorFlorens, Serge
dc.creatorVojta, Matthias
dc.date2006-04-26
dc.date2006-10-23
dc.date.accessioned2026-07-07T07:05:44Z
dc.date.available2026-07-07T07:05:44Z
dc.descriptionThe pseudogap Kondo problem, describing a magnetic impurity embedded in an electronic environment with a power-law density of states, displays continuous quantum phase transitions between free and screened moment phases. In this paper we employ renormalization group techniques to analytically calculate universal crossover functions, associated to these transitions, for various observables. Quantitative agreement with the results of Numerical Renormalization Group (NRG) simulations is obtained for temperature-dependent static and zero-temperature dynamic quantities, at and away from criticality. In the notoriously difficult realm of finite-temperature low-frequency dynamics, usually inaccessible to both NRG and perturbative methods, we show that progress can be made by a suitable renormalization procedure in the framework of the Callan-Symanzik equations. Our general strategy can be extended to other zero-temperature phase transitions, both in quantum impurity models and bulk systems.
dc.description19 pages, 18 figures; (v3) version as published
dc.identifierhttps://arxiv.org/abs/cond-mat/0604603
dc.identifierhttp://arxiv.org/abs/cond-mat/0604603
dc.identifierPhys. Rev. B 74, 144410 (2006)
dc.identifierdoi:10.1103/PhysRevB.74.144410
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109772
dc.subjectStrongly Correlated Electrons
dc.subjectMesoscale and Nanoscale Physics
dc.titleUniversal crossovers and critical dynamics of quantum phase transitions: A renormalization group study of the pseudogap Kondo problem
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