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

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      Author(s)
      Ercelebi, A.
      Senger, R. T.
      Date
      1994
      Source 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
      Article
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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 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
      Permalink
      http://hdl.handle.net/11693/26004
      Published Version (Please cite this version)
      http://dx.doi.org/10.1088/0953-8984/6/28/019
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      • Department of Physics 2550
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