Dynamic charge correlations near the Peierls transition

Abstract

The quantum phase transition between a repulsive Luttinger liquid and an insulating Peierls state is studied in the framework of the one-dimensional spinless Holstein model. We focus on the adiabatic regime but include the full quantum dynamics of the phonons. Using continuous-time quantum Monte Carlo simulations, we track in particular the dynamic charge structure factor and the single-particle spectrum across the transition. With increasing electron-phonon coupling, the dynamic charge structure factor reveals the emergence of a charge gap, and a clear signature of phonon softening at the zone boundary. The single-particle spectral function evolves continuously across the transition. Hybridization of the charge and phonon modes of the Luttinger liquid description leads to two modes, one of which corresponds to the coherent polaron band. This band acquires a gap upon entering the Peierls phase, whereas the other mode constitutes the incoherent, high-energy spectrum with backfolded shadow bands. Coherent polaronic motion is a direct consequence of quantum lattice fluctuations. In the strong-coupling regime, the spectrum is described by the static, mean-field limit. Importantly, whereas finite electron density in general leads to screening of polaron effects, the latter reappear at half filling due to charge ordering and lattice dimerization.

8 pages, 7 figures, final version

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• Excitation spectra and spin gap of the half-filled Holstein-Hubbard model
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• Interaction-range effects for fermions in one dimension
• Exciton condensation due to electron-phonon interaction
• Finite-size effects in Luther-Emery phases of Holstein and Hubbard models
• Density waves in strongly correlated quantum chains
• Phonon spectral function of the one-dimensional Holstein-Hubbard model
• Interplay of Site and Bond Electron-Phonon Coupling in One Dimension
• Interplay of charge, spin and lattice degrees of freedom on the spectral properties of the one-dimensional Hubbard-Holstein model
• Continuous-time quantum Monte Carlo for fermion-boson lattice models: Improved bosonic estimators and application to the Holstein model
• A study of cooperative breathing-mode in molecular chains
• Charge and spin correlations of a Peierls insulator after a quench
• Thermodynamic and spectral properties of adiabatic Peierls chains
• Thermal and quantum lattice fluctuations in Peierls chains
• A Langevin approach to lattice dynamics in a charge ordered polaronic system
• Enhancement of the effective disorder potential and the thermopower in Na${}_x$CoO${}_2$ through the electron-phonon coupling
• Strongly anharmonic collective modes in a coupled electron-phonon-spin problem
• Peierls to superfluid crossover in the one-dimensional, quarter-filled Holstein model
• Metal-insulator transition of spinless fermions coupled to dispersive optical bosons