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Curvature stabilized skyrmions with angular momentum

Mathematical Physics 2019-10-02 v2 Analysis of PDEs math.MP

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.

Keywords

Cite

@article{arxiv.1902.04881,
  title  = {Curvature stabilized skyrmions with angular momentum},
  author = {Christof Melcher and Zisis N. Sakellaris},
  journal= {arXiv preprint arXiv:1902.04881},
  year   = {2019}
}
R2 v1 2026-06-23T07:39:49.706Z