Theory of magnetic vortex crystals induced by electric dipole interactions

Recent Lorentz transmission electron microscopy experiments have revealed a variety of noncollinear spin textures including topological magnetisms such as skyrmions, biskyrmions and multiple skyrmions in thin-plate magnetic samples of e.g., perovskite manganites and hexaferrites whose crystal structures originally have spatial inversion symmety. Motivated by these experiments, we investigate a spin-lattice coupled model involving both magnetic and electric dipole interactions by the Monte Carlo technique based on the stochastic cut-off method and propose a physical mechanism for realizing topological spin textures in which the electric dipole interaction plays a key role. This mechanism is ubiquitous that stabilizes noncollinear and topological spin textures in thin-plate samples of magnetic materials.