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Magnon modes in the presence of solitons (vortices) in two-dimensional (2D) easy-plane antiferromagnets are studied. The vortex-magnon scattering matrix is obtained numerically. The analysis shows the presence of a new localized mode with a well-defined frequency determined by the strength of the anisotropy. It may be possible to observe this mode in resonance experiments for quasi-2D magnetic materials with a finite density of vortices.
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Ivanov et al. (1996) studied this question.
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