The phase diagram of strongly anisotropic two-axis ferromagnet at arbitrary orientation of external magnetic field is built. It is demonstrated that together with a ferromagnetic phase there is possible the existence of phases with a tensorial order parameter: quadrupolar or quadrupolar-ferromagnetic phases. Spectra of bound magnetoelastic waves are investigated. Besides it is demonstrated that at large enough magnetoelastic interaction there is possible an active interaction of a magnetic subsystem with longitudinally polarized acoustic mode which becomes a soft mode at the point of orientational phase transition.
In the paper the possibility of stabilization of the long-range magnetic order in a two-dimensional ferromagnetic with one-ion easy-plane anisotropy is explored. It is shown that at the presence of a small anisotropy in a two-dimensional ferromagnetic the long-range magnetic order is stabilized by magnetoelastic interaction. If one-ion anisotropy is comparable or even exceeds the exchange interaction in the system there exists a long-range non-vectorial quadrupolar tensorial magnetic order.
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