Fermi Liquid Theory for the Persistent Current Past a Side-Coupled Quantum Dot

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dc.creatorAffleck, Ian
dc.creatorSørensen, Erik S.
dc.date2006-12-07
dc.date.accessioned2026-07-07T07:57:28Z
dc.date.available2026-07-07T07:57:28Z
dc.descriptionA Fermi Liquid theory is developed for the persistent current past a side coupled quantum dot yielding analytical predictions for the behavior of the first two harmonics of the persistent current as a function of applied magnetic flux. The quantum dot is assumed weakly coupled to a ring of non-interacting electrons and thus appropriately described as a Kondo impurity. The theory is valid at weak Kondo couplings in the regime where the system size, L, is much larger than the size of the Kondo screening cloud, xi_K. The predictions of the Fermi Liquid theory are compared to exact diagonalization results for the persistent current that lend support to the existence of a regime correctly described by this theory. The finite temperature conductance, at T << T_K is also calculated using Fermi liquid theory allowing the definition of a ``Wilson ratio" relating the conductance and the persistent current.
dc.description16 pages, 5 figures, RevTex 4.0
dc.identifierhttps://arxiv.org/abs/cond-mat/0612199
dc.identifierhttp://arxiv.org/abs/cond-mat/0612199
dc.identifierPhysical Review B, 75, 165316 (2007)
dc.identifierdoi:10.1103/PhysRevB.75.165316
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127659
dc.subjectStrongly Correlated Electrons
dc.subjectMesoscale and Nanoscale Physics
dc.titleFermi Liquid Theory for the Persistent Current Past a Side-Coupled Quantum Dot
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