Charge-density-wave formation in a half-filled fermion-boson transport model: A projective renormalization approach

Abstract

We study the metal-insulator transition in a very general two-channel transport model, where charge carriers are coupled to a correlated background medium. The fluctuations of the background were described as bosonic excitations, having the ability to relax. Employing an analytical projector-based renormalization technique, we calculate the ground-state and spectral properties of this fermion-boson model and corroborate recent numerical results, which indicate---in dependence on the `stiffness' of the background medium---a Luttinger-liquid to charge-density-wave transition for the one-dimensional half-filled band case. In particular, we determine the renormalized electron and boson dispersion relations and show that the quantum phase transition is not triggered by a softening of the boson modes. Thus the charge density wave is different in nature from an usual Peierls distorted state.

final version, 4 figures have been updated, one equation has been added, minor changes in the text

References in corpus (10)

• Quantum lattice dynamical effects on the single-particle excitations in 1D Mott and Peierls insulators
• Orbitally induced string formation in the spin-orbital polarons
• Boson-controlled quantum transport
• Quantum phase transition in a 1D transport model with boson affected hopping: Luttinger liquid versus charge-density-wave behavior
• Coexistence of superconductivity and charge-density waves in a two-dimensional Holstein model at half-filling
• Dominant particle-hole contributions to the phonon dynamics in the spinless one-dimensional Holstein model
• Correlation-induced metal insulator transition in a two-channel fermion-boson model
• One-Dimensional Quantum Transport Affected by a Background Medium: Fluctuations versus Correlations
• Static and dynamic properties of the spinless Falicov-Kimball model
• Competitive density waves in quasi-one-dimensional electron systems

Cited by in corpus (6)

• Excitonic resonances in the 2D extended Falicov-Kimball model
• Ground-state and spectral signatures of cavity exciton-polariton condensates
• Generalized diagonalization scheme for many-particle systems
• Phase separation in the Edwards model
• Unconventional superconductivity and interaction induced Fermi surface reconstruction in the two-dimensional Edwards model
• A Green's function decoupling scheme for the Edwards fermion-boson model