Energy and mass of 3D and 2D polarons in the overall range of the electron-phonon coupling strength
Senger, R. T.
Journal of Physics Condensed Matter
Institute of Physics Publishing Ltd.
5455 - 5464
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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.
Electron phonon coupling
Three dimensional polarons
Two dimensional polarons
Electron energy levels