Instability of planar vortices in the two-dimensional easy-plane Heisenberg model with distance-dependent interactions
Instability of planar vortices in the two-dimensional easy-plane Heisenberg model with distance-dependent interactions
It is known that magnetic vortices in two-dimensional Heisenberg models with easy-plane anisotropy exhibit an instability depending on the anisotropy strength. In this paper, we study the statistic behavior of the two-dimensional easy-plane Heisenberg models with distance-dependent interactions ${J}_{xy}(r)$ and ${J}_{z}(r)$ for in-plane and out-of-plane components. We develop analytical and …