Effects of dimensionality and anisotropy on the Holstein polaron
Abstract
We apply weak-coupling perturbation theory and strong-coupling perturbation theory to the Holstein molecular crystal model in order to elucidate the effects of anisotropy on polaron properties in D dimensions. The ground state energy is considered as a primary criterion through which to study the effects of anisotropy on the self-trapping transition, the self-trapping line associated with this transition, and the adiabatic critical point. The effects of dimensionality and anisotropy on electron-phonon correlations and polaronic mass enhancement are studied, with particular attention given to the polaron radius and the characteristics of quasi-1D and quasi-2D structures. Perturbative results are confirmed by selected comparisons with variational calculations and quantum Monte Carlo data.
Keywords
Cite
@article{arxiv.cond-mat/9905148,
title = {Effects of dimensionality and anisotropy on the Holstein polaron},
author = {Aldo H. Romero and David W. Brown and Katja Lindenberg},
journal= {arXiv preprint arXiv:cond-mat/9905148},
year = {2009}
}