Falicov-Kimball model and the problem of electronic ferroelectricity

Abstract

The density matrix renormalization group method is used to examine possibilities of electronic ferroelectricity in the spinless Falicov-Kimball model. The model is studied for a wide range of parameters including weak and strong interactions as well as the symmetric and unsymmetric case. In all examined cases the $<d^{+}f>$-expectation value vanishes for vanishing hybridization $V$, indicating that the spinless Falicov-Kimball model does not allow for a ferroelectric ground state with a spontaneous polarization.

9 pages, 4 figures, LaTeX

References in corpus (1)

• Exact solution of the multi-component Falicov-Kimball model in infinite dimensions

Cited by in corpus (19)

• Exact solution of the Falicov-Kimball model with dynamical mean-field theory
• New Trends in Density Matrix Renormalization
• Electronic Ferroelectricity in the Falicov-Kimball Model
• Excitonic condensation in systems of strongly correlated electrons
• Order, criticality and excitations in the extended Falicov-Kimball model
• Weak-coupling Treatment of Electronic (Anti-)Ferroelectricity in the Extended Falicov-Kimball Model
• Hartree-Fock study of electronic ferroelectricity in the Falicov-Kimball model with $f$-$f$ hopping
• Slave boson theory of the extended Falicov-Kimball model
• Excitonic phase transition in the extended three-dimensional Falicov-Kimball model
• Competing Orderings in an Extended Falicov-Kimball Model
• Collective Excitations and Stability of the Excitonic Phase in the Extended Falicov--Kimball Model
• Gapless regime in the charge density wave phase of the finite dimensional Falicov-Kimball model
• The influence of nonlocal interactions on valence transitions and formation of excitonic bound states in the generalized Falicov-Kimball model
• Spectral functions of the Falicov-Kimball model with electronic ferroelectricity
• Mott-Enhanced Exciton Condensation in a Hubbard bilayer
• DMRG study of exciton condensation in the extended Falicov-Kimball model
• Unsupervised Machine Learning Phase Classification for Falicov-Kimball Model
• Effects of correlated hopping on electronic ferroelectricity in the extended Falicov-Kimball model in two dimensions
• Excitonic Insulator and the Extended Falicov--Kimball Model Away from Half-Filling