Theory of inelastic scattering from quantum impurities

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dc.creatorBorda, L.
dc.creatorFritz, L.
dc.creatorAndrei, N.
dc.creatorZarand, G.
dc.date2007-03-12
dc.date2007-06-18
dc.date.accessioned2026-07-07T08:10:30Z
dc.date.available2026-07-07T08:10:30Z
dc.descriptionWe use the framework set up recently to compute non-perturbatively inelastic scattering from quantum impurities [G. Zaránd {\it et al.}, Phys. Rev. Lett. {\bf 93}, 107204 (2004)] to study the the energy dependence of the single particle $S$-matrix and the inelastic scattering cross section for a number of quantum impurity models. We study the case of the spin $S=1/2$ two-channel Kondo model, the Anderson model, and the usual $S=1/2$ single-channel Kondo model. We discuss the difference between non-Fermi liquid and Fermi liquid models and study how a cross-over between the non-Fermi liquid and Fermi liquid regimes appears in case of channel anisotropy for the $S=1/2$ two-channel Kondo model. We show that for the most elementary non-Fermi liquid system, the two-channel Kondo model, half of the scattering remains inelastic even at the Fermi energy. Details of the derivation of the reduction formulas and a simple path integral approach to connect the $T$-matrix to local correlation functions are also presented.
dc.descriptionpublished version
dc.identifierhttps://arxiv.org/abs/cond-mat/0703293
dc.identifierhttp://arxiv.org/abs/cond-mat/0703293
dc.identifierPhys. Rev. B 75, 235112 (2007)
dc.identifierdoi:10.1103/PhysRevB.75.235112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131844
dc.subjectStrongly Correlated Electrons
dc.titleTheory of inelastic scattering from quantum impurities
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