Abstract

A study of two-dimensional topological vortex-like solitons, for spin nematic states in magnets with spin S = 1 and S = 3/2. Depending on the parameters of the magnet, we get either pure multipole vortices, with a quadrupole parameter for S = 1, or an octupole parameter for S = 3/2, or vortices with a non-singular core. A vortex core corresponds to a macroscopic area with a disrupted nematic order. A transition to core vortices occurs at critical values of the system parameters. In this case, there is either the formation of a ferromagnetic vortex with a saturated magnetic moment in the core, or a vortex with an antiferromagnetic order at the core. The dynamic properties of the vortex with a ferromagnetic core are characterized by the presence of a gyroforce, whereas vortices with an antiferromagnetic core are Lorentz-invariant, which is typical for sigma-model antiferromagnets.

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