Competing Orderings in an Extended Falicov-Kimball Model

Abstract

We present a Hartree-Fock study of the Falicov-Kimball model extended by both on-site and non-local hybridization. We examine the interplay between excitonic effects and the charge-density wave (CDW) instability known to exist at zero hybridization. It is found that the CDW state remains stable in the presence of finite hybridization; for on-site hybridization the Coulomb interaction nevertheless strongly enhances the excitonic average above its value in the noninteracting system. In contrast, for non-local hybridization, we observe no such enhancement of the excitonic average or a spontaneous on-site hybridization potential. Instead, we find only a significant suppression of the excitonic correlations in the CDW state. A phenomenological Ginzburg-Landau analysis is also provided to understand the interplay.

arXiv commentRevTex, 5 pages, 4 figures; expanded and corrected, typos added, references added

References in corpus (7)

• Exact solution of the Falicov-Kimball model with dynamical mean-field theory
• Theory of Electronic Ferroelectricity
• Electronic Ferroelectricity in the Falicov-Kimball Model
• Intermediate Coupling Theory of Electronic Ferroelectricity
• Influence of Hybridization on the Properties of the Spinless Falicov-Kimball Model
• Exact solution of the multi-component Falicov-Kimball model in infinite dimensions
• Falicov-Kimball model and the problem of electronic ferroelectricity

Cited by in corpus (10)

• Excitonic condensation in systems of strongly correlated electrons
• Hartree-Fock study of electronic ferroelectricity in the Falicov-Kimball model with $f$-$f$ hopping
• Slave boson theory of the extended Falicov-Kimball model
• Competing chiral and multipolar electric phases in the extended Falicov-Kimball model
• Formation and condensation of excitonic bound states in the generalized Falicov-Kimball model
• Interplay between charge density wave and superconductivity in multi-band systems with inter-band Coulomb interaction
• Extended Falicov-Kimball model: Hartree-Fock vs DMFT approach
• Effects of correlated hopping on electronic ferroelectricity in the extended Falicov-Kimball model in two dimensions
• Incommensurate charge density wave on multiband intermetallic systems exhibiting competing orders
• Extended Falicov-Kimball model at weak onsite and intersite Coulomb interactions