Abstract
Anharmonically coupled, high-and low-frequency branches of vibrational excitations of a two-dimensional dipole system on a substrate are studied. It is shown that independent low-frequency resonance modes characterized by a two-dimensional wave vector belonging to the first Brillouin zone of the dipole lattice arise as a result of the harmonic interaction of phonons in the dipole system and in the substrate. The positions and widths of the spectral lines of the high-frequency local vibrations, which in the general case depend on the dispersion laws and lifetimes of the resonance modes, are calculated for low-temperature orientational states of degenerate dipoles on triangular and square lattices.
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