Abstract
There is weak bulk but strong surface coupling between electrons and phonons in a semi-infinite crystal. Here some properties of the surface polaron in a semi-infinite crystal, weak coupling with bulk longitudinal optical (BO) phonons and strong coupling with surface longitudinal optical (SO) phonons, are studied. The effective Hamiltonian of a slow-moving surface polaron in a semi-infinite crystal is derived using an improved linear combination operator and perturbation method. If we consider the interaction between phonons of different wave vectors in the recoil process, the influence of this interaction on the effective Hamiltonian, the induced potential and the effective mass of the surface polaron are discussed. Numerical calculations for an AgBr crystal, as an example, are performed, and some properties of the surface polaron in a semi-infinite crystal are discussed.
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