Energy spectrum of magnon excitations in amorphous bodies with allowance for the spin-phonon interaction

The energy spectrum of magnon excitations in the amorphous solids is investigated by means of the two-time Green function method, taking into account the spin-phonon interaction. The equation for the energy spectrum of magnon excitations is obtained which includes the damping effects due to the magnon scattering on the structure fluctuations and phonons. The investigation of the long wavelength limit is performed. The phonon mean field approximation is considered and the equation for energy spectrum of self-consistent magnon and phonon excitations is obtained within the quasicrystalline approximation.