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The article is a theoretical analysis of wave vector dependent energies of confined, interface, half-space, and propagating phonons for symmetric and asymmetric three-layer heterosystems of crystals having a hexagonal lattice structure. The polaron dispersion relation in the GaN crystal and AlN/GaN/AlN double nanosize heterostructure is investigated. All types of polarization vibrations with which an electron interacts are taken into account. The calculations are performed within the finite and infinite barrier models. It is shown that the interface phonon contribution in the polaron energy decreases with increasing nanofilm thickness while that of confined phonons rises. The calculation results of the polaron dispersion relation in the region k k f < ( 2me k f ω = = ) in different polaron wave vector directions with respect to the c -axis of the crystal are given. Also, the polaron average speed and effective mass are calculated. The data suggest an effective enhancement of the electron-phonon interaction with lowering system dimensions number.

PHONON AND POLARON STATES OF A QUANTUM WELL HETEROSTRUCTURE OF CRYSTALS WITH A HEXAGONAL LATTICE STRUCTURE