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Effect of Dimensionality and Anisotropy on the Holstein Polaron

Published online by Cambridge University Press:  10 February 2011

Katja Lindenberg ,
A. H. Romero  and
D. W. Brown
Katja Lindenberg
Affiliation:
Department of Chemistry and Biochemistry and Institute for Nonlinear Science, University of California at San Diego. La Jolla, CA 92093-0340
A. H. Romero
Affiliation:
Department of Chemistry and Biochemistry and Department of Physics, University of California at San Diego, La Jolla, CA 92093-0340
D. W. Brown
Affiliation:
Institute for Nonlinear Science, University of California at San Diego. La Jolla, CA 92093-0340
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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, with particular attention given to shifting of the self-trapping line 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-l-D and quasi-2-D structures. Perturbative results are confirmed by selected comparisons with variational calculations and quantum Monte Carlo data.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 543: Symposium W – Dynamics in Small Confining Systems IV , 1998 , 345
Copyright
Copyright © Materials Research Society 1999

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