Anisotropic piezoelectric polaron

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Abstract
A continuum theory is used to derive an anisotropic piezoelectric polaron Hamiltonian. The intermediate-coupling theory is applied to this Hamiltonian and it is shown that the polaron has a maximum velocity is each direction. This maximum velocity is less than the velocity of the phonons moving in the same direction. This effect was previously shown only for an isotropic Hamiltonian. The angular dependence of the coupling constant is derived from the anisotropic Hamiltonian and average values for the quasilongitudinal and quasitransverse modes are obtained. The increase in effective mass due to the polaron effect is also calculated for slow polarons.