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



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Creffield, Charles E. and Sangiovanni, G. and Capone, M. (2005) Phonon softening and dispersion in the 1D Holstein model of spinless fermions. European physical journal B, 44 (2). pp. 175-181. ISSN 1434-6028

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We investigate the effect of electron-phonon interaction on the phononic properties in the onedimensional 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.

Item Type:Article
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© Springer.
We thank C. Castellani and S. Ciuchi for valuable discussions. We also acknowledge Italian MIUR Cofin2003 for financial support.

Uncontrolled Keywords:Su-schrieffer-heeger; Quantum monte-carlo; Optical-obsorption; Maximum-entropy; Phase-diagram; Small-polaron; Electron; Superconductors; Perovskites; Systems
Subjects:Sciences > Physics > Materials
Sciences > Physics > Solid state physics
ID Code:33582
Deposited On:15 Oct 2015 17:44
Last Modified:15 Oct 2015 17:44

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