Phonon softening and dispersion in the 1D Holstein model of spinless fermions

Abstract

We investigate the effect of electron-phonon interaction on the phononic properties in the one-dimensional half-filled Holstein model of spinless fermions. By means of determinantal Quantum Monte Carlo simulation we show that the behavior of the phonon dynamics gives a clear signal of the transition to a charge-ordered phase, and the phase diagram obtained in this way is in excellent agreement with previous DMRG results. By analyzing the phonon propagator we extract the renormalized phonon frequency, and study how it first softens as the transition is approached and then subsequently hardens in the charge-ordered phase. We then show how anharmonic features develop in the phonon propagator, and how the interaction induces a sizable dispersion of the dressed phonon in the non-adiabatic regime.

7 pages, 6 figures

References in corpus (5)

• Polaron Crossover and Bipolaronic Metal-Insulator Transition in the half- filled Holstein model
• Small Fermi energy and phonon anharmonicity in MgB_2 and related compounds
• Spectral function of electron-phonon models by cluster perturbation theory
• Single-particle excitations and phonon softening in the one-dimensional spinless Holstein model
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