Quasi-particle characteristics of the one-dimensional polaron

Details Quasi-particle characteristics of the one-dimensional polaron Quasi-particle characteristics of the one-dimensional polaron

1999-10-21

arxiv.org/abs/cond-mat/9910327v1

Physics

Condensed Matter

REVTeX, 13 pages, 1 figure in a separate "fig1.ps" file, 2 tables

Scientific paper

The main quasi-particle characteristics of the one-dimensional polaron are estimated within and beyond the most general Gaussian approximation at arbitrary electron-phonon coupling. We have derived explicitly the ground-state energy and the effective mass in the weak- and strong-coupling regimes. For arbitrary coupling, the Gaussian leading-order term of the polaron self energy improves the corresponding Feynman estimate and represents the lowest upper bound available. We have calculated the next non-Gaussian corrections. Taking into account systematically higher-order corrections does not perturb considerably the obtained results.

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