The influence of nonlocal interactions on valence transitions and formation of excitonic bound states in the generalized Falicov-Kimball model

Abstract

We use the density-matrix-renormalization-group (DMRG) method to study the combined effects of nonlocal interactions on valence transitions and the formation of excitonic bound states in the generalized Falicov-Kimball model. In particular, we consider the nearest-neighbour Coulomb interaction $U_{nn}$ between two $d$, two $f$, $d$ and $f$ electrons as well as the so-called correlated hopping term $U_{ch}$ and examine their effects on the density of conduction $n_d$ (valence $n_f$) electrons and the excitonic momentum distribution $N(q)$. It is shown that $U_{nn}$ and $U_{ch}$ exhibit very strong and fully different effects on valence transitions and the formation (condensation) of excitonic bound states. While the nonlocal interaction $U_{nn}$ suppresses the formation of zero momentum condensate ($N(q$=$0)$) and stabilizes the intermediate valence phases with $n_d\sim 0.5,n_f\sim 0.5$, the correlated hopping term $U_{ch}$ significantly enhances the number of excitons in the zero-momentum condensate and suppresses the stability region of intermediate valence phases. The physically most interesting results are observed if both $U_{nn}$ and $U_{ch}$ are nonzero, when the combined effects of $U_{nn}$ and $U_{ch}$ are able to generate discontinuous changes in $n_f$, $N(q$=$0)$ and some other ground-state quantities.

14 pages, 4 figures. arXiv admin note: text overlap with arXiv:1702.04167

References in corpus (3)

• 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
• Formation and condensation of excitonic bound states in the generalized Falicov-Kimball model

Cited by in corpus (2)

• Extended Falicov-Kimball model: Hartree-Fock vs DMFT approach
• Extended Falicov-Kimball model at weak onsite and intersite Coulomb interactions