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Journal of Physics C Solid State Physics

Note on the strong-coupled polarons

Naoaki Tokuda

Published Mar 20, 1980• 18 citations
Publisher

Abstract

A simple scheme of variational approach based on the unitary transformation and the method of a Lagrange multiplier is proposed to investigate the strong coupling theory of the polarons.
DOI
10.1088/0022-3719/13/8/007

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The ground-state characterization of the polaron problem is retrieved within the framework of a variational scheme proposed previously by Devreese et al for the bound polaron. The formulation is based on the standard canonical transformation of the strong coupling ansatz and consists of a variationally determined perturbative extension serving for the theory to interpolate in the overall range of the coupling constant. Specializing our considerations to the bulk and strict two-dimensional polaron models we see that the theory yields significantly improved energy upper bounds in the strong coupling regime and, moreover, extrapolates itself successfully towards the well-established weak coupling limits for all polaron quantities of general interest.