Single-polaron properties of the one-dimensional breathing-mode Hamiltonian

Bayo Lau, Mona Berciu, and George A. Sawatzky
Phys. Rev. B 76, 174305 – Published 21 November 2007

Abstract

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’s Green’s function. We contrast these results with the 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 nonmonotonic 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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  • Received 20 August 2007

DOI:https://doi.org/10.1103/PhysRevB.76.174305

©2007 American Physical Society

Authors & Affiliations

Bayo Lau, Mona Berciu, and George A. Sawatzky

  • Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1

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Issue

Vol. 76, Iss. 17 — 1 November 2007

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