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- W2084929908 abstract "Abstract The binding energy and the root-mean-square distance to the surface of an exterior polaron, whose wave function does not penetrate the crystal, are calculated for an ideal polar crystal surface. Only the image states are considered. We consider dynamically the electronic coupling to both excitons and phonons. Three variational approaches are used and compared: a weak-coupling theory including zero- and one-phonon terms, a strong-coupling approach involving displaced oscillators and a Green's function Fock approximation. For the three cases, a Gaussian electronic ansatz is used which, for most cases, gives lower energy than a Coulomb one. The effect of the electronic recoil in the three cases is investigated and we conclude that recoil effects are important even in the direction perpendicular to the surface. We find that the strong-coupling approach can never be used for any real crystal, the coupling to surface modes decaying rapidly away from the surface. On the other hand, the weak-coupling limit is quite good for many polar crystals and we show that, in this case, the binding energy depends only on the static dielectric constant (ϵs). For all possible values of the parameters, the Green's function calculation gives the best binding energies (lowest ground-state energy). Numerical results are given for a few representative semiconductors and dielectrics." @default.
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- W2084929908 date "1994-02-01" @default.
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- W2084929908 title "Ground-state energy of an exterior surface polaron" @default.
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- W2084929908 doi "https://doi.org/10.1016/0039-6028(94)90788-9" @default.
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