Impurity states in a polar-crystal slab

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Abstract
The ground state and the first excited state of a bound polaron in a polar crystal slab are investigated by means of the Lee-Low-Pines variation technique. Both the electron–LO-phonon interaction and the electron–surface-optical-phonon interaction are taken into account. For an impurity located at different positions in the slab, the self-energy and the effective mass as well as the transition energies are evaluated as functions of slab thickness. It is found that, in our approximate calculations, the position of the shallow-doped impurity in the slab will produce an impact only on that part of the bound polaron’s energy associated with motion parallel to the xy plane. Consequently, it will exert a great influence on the transition energies.

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