Phonon Emission in Piezoelectric Solids

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Abstract
The spontaneous ``Čerenkov‐like'' emission of phonons is calculated for a charged particle moving in an arbitrary direction with a supersonic velocity through a solid. The coupling of the particle to the lattice is through the electric fields of piezoelectric origin; first‐order perturbation theory is used to calculate the rate of energy loss by the particle to the phonon field. A special case is considered for particle motion along the axis of hexagonal symmetry for a class 26 crystal (such as CdS) using a quasi‐isotropic model to describe the tensor properties of the solid. Comparison of the induced emission and absorption of phonons with the spontaneous emission indicates that the ``Čerenkov‐like'' emission is negligible under most conditions.

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