On X-ray-singularities in the f-electron spectral function of the Falicov-Kimball model

dc.creatorAnders, Frithjof B.
dc.creatorCzycholl, G.
dc.date2004-11-29
dc.date.accessioned2026-07-07T07:36:12Z
dc.date.available2026-07-07T07:36:12Z
dc.descriptionThe f-electron spectral function of the Falicov-Kimball model is calculated within the dynamical mean-field theory using the numerical renormalization group method as the impurity solver. Both the Bethe lattice and the hypercubic lattice are considered at half filling. For small U we obtain a single-peaked f-electron spectral function, which --for zero temperature-- exhibits an algebraic (X-ray) singularity ($|ω|^{-α}$) for $ω\to 0$. The characteristic exponent $α$ depends on the Coulomb (Hubbard) correlation U. This X-ray singularity cannot be observed when using alternative (Keldysh-based) many-body approaches. With increasing U, $α$ decreases and vanishes for sufficiently large U when the f-electron spectral function develops a gap and a two-peak structure (metal-insulator transition).
dc.description8 pages, 8 figures, revtex
dc.identifierhttps://arxiv.org/abs/cond-mat/0411721
dc.identifierhttp://arxiv.org/abs/cond-mat/0411721
dc.identifierPhys. Rev. B 71, 125101 (2005)
dc.identifierdoi:10.1103/PhysRevB.71.125101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120345
dc.subjectStrongly Correlated Electrons
dc.titleOn X-ray-singularities in the f-electron spectral function of the Falicov-Kimball model
dc.typetext

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