Curvature stabilized skyrmions with angular momentum

Abstract

We examine skyrmionic field configurations on a spherical ferromagnet with large normal anisotropy. Exploiting variational concepts of angular momentum we find a new family of localized solutions to the Landau-Lifshitz equation that are topologically distinct from the ground state and not equivariant. Significantly, we observe an emergent spin-orbit coupling on the level of magnetization dynamics in a simple system without individual rotational invariance in spin and coordinate space.

References in corpus (6)

• Magnon-skyrmion scattering in chiral magnets
• Antiskyrmions stabilized at interfaces by anisotropic Dzyaloshinskii-Moriya interaction
• Topologically stable magnetization states on a spherical shell: curvature stabilized skyrmions
• Topology and dynamics in ferromagnetic media
• Angular and Linear Momentum of Excited Ferromagnets
• On a sharp Poincaré-type inequality on the 2-sphere and its application in micromagnetics

Cited by in corpus (2)

• Variational principles of micromagnetics revisited
• A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree $\pm 1$ harmonic maps from ${\mathbb{R}}^2$ to ${\mathbb{S}}^2$