Strings and skyrmions on domain walls

Abstract

We address a simple model allowing the existence of domain walls with orientational moduli localized on them. Within this model, we discuss an analytic solution and explore it in the context of previously known results. We discuss the existence of one-dimensional domain walls localized on two-dimensional ones, and construct the corresponding effective action. In the low-energy limit, which is the $\mathbb{O}(3)$ sigma-model, we discuss the existence of skyrmions localized on domain walls, and provide a solution for a skyrmion configuration, based on an analogy with instantons. We perform symmetry analysis of the initial model and of the low-energy theory on the domain wall world volume.

arXiv comment22 pages, 7 figures; stylistic editing, name changed, references and clarifications added

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Cited by in corpus (7)

• Observation of domain wall bimerons in chiral magnets
• Relations among topological solitons
• Domain Wall Skyrmions in Chiral Magnets
• Chiral Magnets from String Theory
• Skyrmion crystal phase on a magnetic domain wall in chiral magnets
• Creation of domain-wall Skyrmions in chiral magnets
• Creation of domain-wall skyrmions in chiral magnets with Landau-Lifshitz-Gilbert dynamics and demagnetization