Weak-coupling Treatment of Electronic (Anti-)Ferroelectricity in the Extended Falicov-Kimball Model

Abstract

We study the (spinless) Falicov-Kimball model extended by a finite band width (hopping $t_f$) of the localized (f-) electrons in infinite dimensions in the weak-coupling limit of a small local interband Coulomb correlation $U$ for half filling. In the case of overlapping conduction- and f-bands different kinds of ordered solutions are possible, namely charge-density wave (CDW) order, electronic ferroelectricity (EFE) and electronic antiferroelectricity (EAFE). The order parameters are calculated as a function of the model parameters and of the temperature. There is a first-order phase transition from the CDW-phase to the EFE- or EAFE-phase. The total energy is calculated to determine the thermodynamically stable solution. The quantum phase diagrams are calculated.

arXiv comment7 pages, 8 figures

References in corpus (10)

• Exact solution of the Falicov-Kimball model with dynamical mean-field theory
• Electronic Ferroelectricity in the Falicov-Kimball Model
• Linear and nonlinear optical characteristics of the Falicov-Kimball model
• Intermediate Coupling Theory of Electronic Ferroelectricity
• Stripe phases in the two-dimensional Falicov-Kimball model
• Hartree-Fock study of electronic ferroelectricity in the Falicov-Kimball model with $f$-$f$ hopping
• 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
• Slave boson theory of the extended Falicov-Kimball model

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