The spectra of coupled magnetoelastic waves in highly anisotropic non-Heisenberg frustrated magnets with S = 1 are obtained in the mean field approximation. An analysis of the elementary excitation spectra shows that, besides uniform phases (ferromagnetic and quadrupole), spatially-modulated magnetic structures such as magnetic spirals can develop in these systems. The points at which phase transitions into the spiral phase occur are determined. It is shown that magnetoelastic interactions cause significant changes in the size of the region where spiral structures exist.
The spin states of a 2D film with a strong easy plane anisotropy and single ion tilted anisotropy, the axis of which forms a certain angle with the normal to the film plane are investigated. In this system, an angular ferromagnetic phase, a spatially inhomogeneous state, and a quadrupole phase can be formed; the realization of these states noticeably depends on the degree of tilted anisotropy.
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