Energy and mass of 3D and 2D polarons in the overall range of the electron-phonon coupling strength

Date
1994
Authors
Ercelebi, A.
Senger, R. T.
Advisor
Instructor
Source Title
Journal of Physics Condensed Matter
Print ISSN
0953-8984
Electronic ISSN
Publisher
Institute of Physics Publishing Ltd.
Volume
6
Issue
28
Pages
5455 - 5464
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
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.

Course
Other identifiers
Book Title
Keywords
Bound polaron, Electron 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
Citation
Published Version (Please cite this version)