Letters in Mathematical Physics

, Volume 109, Issue 10, pp 2291–2304 | Cite as

Curvature-stabilized skyrmions with angular momentum

  • Christof MelcherEmail author
  • Zisis N. Sakellaris


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.


Magnetic skyrmions Landau–Lifshitz equation Angular momentum 

Mathematics Subject Classification

49S05 35Q60 37K05 82D40 



We are indebted to Stavros Komineas for pointing out the relevance of angular momenta in the context of chiral magnetism and for valuable discussions on the subject matter.

Compliance with ethical standards

Conflict of interest

On behalf of all authors, the corresponding author states that there is no conflict of interest.


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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of Mathematics & JARA-FITRWTH Aachen UniversityAachenGermany

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