Oscillations of the topological spin texture in a two-sublattice antiferromagnet with the Dzyaloshinskii–Moriya interaction

We analytically study eigenoscillations of the topological spin texture in a two-sublattice antiferromagnet with the Dzyaloshinskii–Moriya interaction. Considering the inhomogeneity of the magnetization distribution, the equation of free oscillations of the topological spin texture magnetization is derived and its quasi-classical solution is found. The main dynamical characteristics, including the total energy of oscillations, mass, frequency, and oscillation period, are found for a thin ring nanoscale spin configuration. We convincingly show that the antiferromagnetic spin texture of the target skyrmion type supports its own spin excitation modes, in which it can be by virtue of its inherent intrinsic nature.