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

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

2004-11-29

arxiv.org/abs/cond-mat/0411721v1

Phys. Rev. B 71, 125101 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 8 figures, revtex

Scientific paper

10.1103/PhysRevB.71.125101

The 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 ($|\omega|^{-\alpha}$) for $\omega \to 0$. The characteristic exponent $\alpha$ 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, $\alpha$ decreases and vanishes for sufficiently large U when the f-electron spectral function develops a gap and a two-peak structure (metal-insulator transition).

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