Single polaron properties of the breathing-mode Hamiltonian

Details Single polaron properties of the breathing-mode Hamiltonian Single polaron properties of the breathing-mode Hamiltonian

2007-08-21

arxiv.org/abs/0708.2920v1

Physical Review B 76 174305 (2007)

Physics

Condensed Matter

Materials Science

Scientific paper

10.1103/PhysRevB.76.174305

We investigate numerically various properties of the one-dimensional (1D) breathing-mode polaron. We use an extension of a variational scheme to compute the energies and wave-functions of the two lowest-energy eigenstates for any momentum, as well as a scheme to compute directly the polaron Greens function. We contrast these results with results for the 1D Holstein polaron. In particular, we find that the crossover from a large to a small polaron is significantly sharper. Unlike for the Holstein model, at moderate and large couplings the breathing-mode polaron dispersion has non-monotonic dependence on the polaron momentum k. Neither of these aspects is revealed by a previous study based on the self-consistent Born approximation.

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