Effects of dimensionality and anisotropy on the Holstein polaron

Aldo H. Romero; David W. Brown; Katja Lindenberg

doi:10.1103/PhysRevB.60.14080

Effects of dimensionality and anisotropy on the Holstein polaron

Aldo H. Romero, David W. Brown, and Katja Lindenberg

Phys. Rev. B 60, 14080 – Published 15 November 1999

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-one-dimensional (1D) and quasi-2D structures. Perturbative results are confirmed by selected comparisons with variational calculations and quantum Monte Carlo data.

Received 17 May 1999

DOI:https://doi.org/10.1103/PhysRevB.60.14080

Authors & Affiliations

Aldo H. Romero^*

Department of Chemistry and Biochemistry, University of California, San Diego, La Jolla, California 92093-0340
Department of Physics, University of California, San Diego, La Jolla, California 92093-0354

David W. Brown

Institute for Nonlinear Science, University of California, San Diego, La Jolla, California 92093-0402

Katja Lindenberg

Department of Chemistry and Biochemistry, University of California, San Diego, La Jolla, California 92093-0340 and Institute for Nonlinear Science, University of California, San Diego, La Jolla, California 92093-0402

^*Present address: Max-Planck Institut für Festkörperforschung, Heisenbergstr. 1, 70569 Stuttgart, Germany.

References (Subscription Required)

Click to Expand

Issue

Vol. 60, Iss. 20 — 15 November 1999

Reuse & Permissions

Access Options

Author publication services for translation and copyediting assistance advertisement

Physical Review B

covering condensed matter and materials physics