Abstract
A method for calculating the energy and wave function of a lattice polaron bound to a massive hole applicable to both the band- and the non-band-mass theories for arbitrary binding and coupling strength is developed. This is accomplished by a second-order perturbation theory on a basis different from the usual perturbation theory, in which the electron-phonon interaction can be reduced to a small perturbation even for the strong coupling. This method is applied to calculate the binding energy of a bound piezoelectric polaron for a wide range of electron-phonon coupling and electron-massive-hole binding. Then, the applicability of the usual second-order perturbation theory and that of the strong-coupling polaron theory to the treatment of the interaction of a bound electron with the acoustic phonons in a piezoelectric crystal is examined.
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