Single-particle excitations and phonon softening in the one-dimensional spinless Holstein model

Abstract

We investigate the influence of the electron-phonon coupling in the one-dimensional spinless Holstein model at half-filling using both a recently developed projector-based renormalization method (PRM) and an refined exact diagonalization technique in combination with the kernel polynomial method. At finite phonon frequencies the system shows a metal-insulator transition accompanied by the appearance of a Peierls distorted state at a finite critical electron-phonon coupling. We analyze the opening of a gap in terms of the (inverse) photoemission spectral functions which are evaluated in both approaches. Moreover, the PRM approach reveals the softening of a phonon at the Brillouin-zone boundary which can be understood as precursor effect of the gap formation.

arXiv comment26 pages including 9 figures, final version, as published in Phys. Rev. B

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• Photoemission spectra of many-polaron systems
• Excitation spectra and spin gap of the half-filled Holstein-Hubbard model
• Polaron Crossover and Bipolaronic Metal-Insulator Transition in the Holstein model at half-filling
• Spectral signatures of the Luttinger liquid to charge-density-wave transition
• Luttinger parameters and momentum distribution function for the half-filled spinless fermion Holstein model: A DMRG approach
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• Electron-phonon coupling and spin-charge separation in one-dimensional Mott insulators
• Exciton condensation due to electron-phonon interaction
• A Raman study of the Charge-Density-Wave State in A${}_{0.3}$MoO${}_3$ (A = K,Rb)
• Dynamic charge correlations near the Peierls transition
• Density waves in strongly correlated quantum chains
• Phonon spectral function of the one-dimensional Holstein-Hubbard model
• Spectral functions of the spinless Holstein model
• Phonon spectral function of the Holstein polaron
• Interplay of charge, spin and lattice degrees of freedom on the spectral properties of the one-dimensional Hubbard-Holstein model
• 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
• Continuous-time quantum Monte Carlo for fermion-boson lattice models: Improved bosonic estimators and application to the Holstein model
• Ground-state and spectral signatures of cavity exciton-polariton condensates
• Optical conductivity of polaronic charge carriers
• Luttinger liquid versus charge density wave behaviour in the one-dimensional spinless fermion Holstein model
• Analytical approach to the quantum-phase transition in the one-dimensional spinless Holstein model
• Disorder-induced coupling of Weyl nodes in WTe${}_2$
• Many-polaron problem by cluster perturbation theory
• Generalized diagonalization scheme for many-particle systems
• Thermal and quantum lattice fluctuations in Peierls chains
• Phase separation in the Edwards model
• Spectroscopic evidence of nematic fluctuations in LiFeAs
• Charge-density-wave formation in a half-filled fermion-boson transport model: A projective renormalization approach
• A Langevin approach to lattice dynamics in a charge ordered polaronic system
• Optical response of many-polaron systems
• Peierls to superfluid crossover in the one-dimensional, quarter-filled Holstein model
• Carrier-density effects in many-polaron systems
• Linear response within the projection-based renormalization method: Many-body corrections beyond the random phase approximation
• Metal-insulator transition of spinless fermions coupled to dispersive optical bosons
• Charge density wave breakdown in a heterostructure with electron-phonon coupling