A gentle introduction to the functional renormalization group: the Kondo effect in quantum dots

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dc.creatorAndergassen, Sabine
dc.creatorEnss, Tilman
dc.creatorKarrasch, Christoph
dc.creatorMeden, Volker
dc.date2006-12-09
dc.date2007-07-12
dc.date.accessioned2026-07-07T10:07:32Z
dc.date.available2026-07-07T10:07:32Z
dc.descriptionThe functional renormalization group provides an efficient description of the interplay and competition of correlations on different energy scales in interacting Fermi systems. An exact hierarchy of flow equations yields the gradual evolution from a microscopic model Hamiltonian to the effective action as a function of a continuously decreasing energy cutoff. Practical implementations rely on suitable truncations of the hierarchy, which capture nonuniversal properties at higher energy scales in addition to the universal low-energy asymptotics. As a specific example we study transport properties through a single-level quantum dot coupled to Fermi liquid leads. In particular, we focus on the temperature T=0 gate voltage dependence of the linear conductance. A comparison with exact results shows that the functional renormalization group approach captures the broad resonance plateau as well as the emergence of the Kondo scale. It can be easily extended to more complex setups of quantum dots.
dc.descriptioncontribution to Les Houches proceedings 2006, Springer style
dc.identifierhttps://arxiv.org/abs/cond-mat/0612229
dc.identifierhttp://arxiv.org/abs/cond-mat/0612229
dc.identifierdoi:10.1007/978-1-4020-8512-3_1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170672
dc.subjectStrongly Correlated Electrons
dc.subjectMesoscale and Nanoscale Physics
dc.titleA gentle introduction to the functional renormalization group: the Kondo effect in quantum dots
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