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

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

2005-02-16

arxiv.org/abs/cond-mat/0502387v1

Eur. Phys. J. B 44, 175 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 6 figures

Scientific paper

10.1140/epjb/e2005-00112-9

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.

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