Competing chiral and multipolar electric phases in the extended Falicov-Kimball model

Abstract

We study the effects of interband hybridization within the framework of an extended Falicov-Kimball model with itinerant $c$ and $f$ electrons. An explicit interband hybridization breaks the U(1) symmetry associated with the conservation of the difference between the total number of particles in each band. As a result, the degeneracy between multipolar electric and chiral orderings is lifted. We analyze the weak- and strong-coupling limits of the $c$-$f$ electron Coulomb interaction at zero temperature, and derive the corresponding mean-field quantum phase diagrams at half-filling for a model defined on a square lattice.

7 pages, 2 figures

References in corpus (5)

• Electronic Orbital Currents and Polarization in Mott Insulators
• Bound state formation and nature of the excitonic insulator phase 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

Cited by in corpus (11)

• Fate of the excitonic insulator in the presence of phonons
• Competition between excitonic charge and spin density waves: Influence of electron-phonon and Hund's rule couplings
• Slave-boson field fluctuation approach to the extended Falicov-Kimball model: charge, orbital, and excitonic susceptibilities
• Effect of intraband Coulomb repulsion on the excitonic spin-density wave
• Electric and magnetic multipoles and bond orders in excitonic insulators
• Collective excitations of the U(1)-symmetric exciton insulator in a cavity
• Collective Excitations and Stability of the Excitonic Phase in the Extended Falicov--Kimball Model
• Temperature effects in excitonic condensation driven by the lattice distortion
• DMRG study of exciton condensation in the extended Falicov-Kimball model
• Instability of the chiral phase and electronic ferroelectricity in the extended Falicov--Kimball model
• Combined effects of local and nonlocal hybridization on formation and condensation of excitons in the extended Falicov-Kimball model