Static and dynamic properties of the spinless Falicov-Kimball model

Abstract

The spinless Falicov-Kimball model is studied by the use of a recently developed projector-based renormalization method (PRM) for many-particle Hamiltonians. The method is used to evaluate static and dynamic quantities of the one-dimensional model at half-filling. To these belong the quasiparticle excitation energy ${\tilde{\epsilon }}_k$ and the momentum distribution $n_k$ of the conduction electrons and spatial correlation functions of the localized electrons. One of the most remarkable results is the appearance of a gap in ${\tilde{\epsilon }}_k$ at the Fermi level of the order of the Coulomb repulsion $U$, which is accompanied by a smooth behavior for $n_k$. The density of states for the conduction electrons and the one-particle spectral functions for the localized electrons are also discussed. In both quantities a gap opens with increasing $U$.

arXiv comment32 pages, 7 figures

References in corpus (6)

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• Anomalous magnetic response of the spin-one-half Falicov-Kimball model
• Renormalization approach to many-particle systems
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Cited by in corpus (4)

• Spectral signatures of the BCS-BEC crossover in the excitonic insulator phase of the extended Falicov-Kimball model
• Spectral properties of orbital polarons in Mott insulators
• Generalized diagonalization scheme for many-particle systems
• Charge-density-wave formation in a half-filled fermion-boson transport model: A projective renormalization approach