Energy and mass of 3D and 2D polarons in the overall range of the electron-phonon coupling strength
Date
1994Source Title
Journal of Physics Condensed Matter
Print ISSN
0953-8984
Publisher
Institute of Physics Publishing Ltd.
Volume
6
Issue
28
Pages
5455 - 5464
Language
English
Type
ArticleItem Usage Stats
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Abstract
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.
Keywords
Bound polaronElectron phonon coupling
Extrapolation
Three dimensional polarons
Two dimensional polarons
Electron energy levels
Electrons
Interpolation
Mathematical models
Perturbation techniques
Phonons
Three dimensional
Variational techniques
Elementary particles