Excitonic resonances in the 2D extended Falicov-Kimball model

Abstract

Using the projector-based renormalization method we investigate the formation of the excitonic insulator phase in the two-dimensional (2D) spinless Falicov-Kimball model with dispersive $f$ electrons and address the existence of excitonic bound states at high temperatures on the semiconductor side of the semimetal-semiconductor transition. To this end we calculate the imaginary part of the dynamical electron-hole pair susceptibility and analyze the wave-vector and energy dependence of excitonic resonances emerging in the band gap. We thereby confirm the existence of the exciton insulator and its exciton environment within a generic two-band lattice model with local Coulomb attraction.

6 pages, 5 figures, final version

References in corpus (9)

• On the possibility of an excitonic insulator at the semiconductor-semimetal transition
• Exciton condensation driving the periodic lattice distortion of 1T-TiSe2
• Models of coherent exciton condensation
• Bound state formation and nature of the excitonic insulator phase in the extended Falicov-Kimball model
• Hartree-Fock study of electronic ferroelectricity in the Falicov-Kimball model with $f$-$f$ hopping
• Weak-coupling Treatment of Electronic (Anti-)Ferroelectricity in the Extended Falicov-Kimball Model
• Slave-boson field fluctuation approach to the extended Falicov-Kimball model: charge, orbital, and excitonic susceptibilities
• Coexistence of superconductivity and charge-density waves in a two-dimensional Holstein model at half-filling
• Slave boson theory of the extended Falicov-Kimball model

Cited by in corpus (20)

• Electron-hole pair condensation at the semimetal-semiconductor transition: a BCS-BEC crossover scenario
• A BCS-BEC crossover in the extended Falicov-Kimball model: Variational cluster approach
• Chiral charge order in 1$T$-TiSe${}_2$: importance of lattice degrees of freedom
• Exact-diagonalization study of exciton condensation in electron bilayers
• Competition between excitonic charge and spin density waves: Influence of electron-phonon and Hund's rule couplings
• A New Era of Excitonic Insulators
• Coulomb interaction effects in graphene bilayers: electron-hole pairing and plasmaron formation
• Exciton condensation due to electron-phonon interaction
• Electric and magnetic multipoles and bond orders in excitonic insulators
• Dispersive Excitations in the One-Dimensional Ionic Hubbard Model
• Ground-state and spectral signatures of cavity exciton-polariton condensates
• Projector-based renormalization approach to electron-hole-photon systems in nonequlibrium steady-state
• Collective Excitations and Stability of the Excitonic Phase in the Extended Falicov--Kimball Model
• Temperature effects in excitonic condensation driven by the lattice distortion
• The superfluid phase transition in two-dimensional excitonic systems
• Exciton formation in strongly correlated electron-hole systems near the semimetal-semiconductor transition
• Linear response within the projection-based renormalization method: Many-body corrections beyond the random phase approximation
• A Description of Phases with Induced Hybridisation at Finite Temperatures
• Magnetic-field effect on excitonic condensation emergent in extended Falicov-Kimball model
• Interplay of Rashba spin-orbit coupling and Coulomb interaction in topological spin-triplet excitonic condensates