Normal Modes and Soliton Resonance for Vortices in 2D Classical Antiferromagnets

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.