Phonon spectral function of the Holstein polaron

Details Phonon spectral function of the Holstein polaron Phonon spectral function of the Holstein polaron

2006-04-03

arxiv.org/abs/cond-mat/0604040v2

Journal of Physics: Condensed Matter 18, 7299-7312 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, 2 figures; revised and extended version

Scientific paper

10.1088/0953-8984/18/31/023

The phonon spectral function of the one-dimensional Holstein model is obtained within weak and strong-coupling approximations based on analytical self-energy calculations. The characteristic excitations found in the limit of small charge-carrier density are related to the known (electronic) spectral properties of Holstein polarons such as the polaron band dispersion. Particular emphasis is laid on the different physics occurring in the adiabatic and anti-adiabatic regimes, respectively. Comparison is made with a cluster approach exploiting exact numerical results on small systems to yield an approximation for the thermodynamic limit. This method, similar to cluster perturbation theory, confirms the analytical findings, and yields accurate results also in the intermediate-coupling regime.

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