Domain Wall Skyrmions in Chiral Magnets

Abstract

Domain wall skyrmions are skyrmions trapped inside a domain wall. We investigate domain wall skyrmions in chiral magnets using a fully analytic approach. Treating the Dzyaloshinskii-Moriya (DM) interaction perturbatively, we construct the low-energy effective theory of a magnetic domain wall in an $O(3)$ sigma model with the DM interaction and an easy-axis potential term, yielding a sine-Gordon model. We then construct domain wall skyrmions as sine-Gordon solitons along the domain wall. We also construct domain wall skyrmions on top of a pair of a domain wall and an anti-domain wall. One of characteristic feature of domain wall skyrmions is that both skyrmions and anti-skyrmions are equally stable inside the domain wall, unlike the bulk in which only one of them is stable.

arXiv comment19 pages, 4 figures

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• Chiral Magnets from String Theory
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• Quasicrystals in QCD
• Current-driven motion of magnetic domain-wall skyrmions
• Spin Statistics and Surgeries of Topological Solitons in QCD Matter in Magnetic Field
• Magnetic Bimeron Traveling on the Domain Wall
• Skyrmion crystal phase on a magnetic domain wall in chiral magnets
• Manipulation and trapping of magnetic skyrmions with domain walls in chiral magnetic thin films
• Domain Wall Networks as Skyrmion Crystals in Chiral Magnets
• Creation of domain-wall Skyrmions in chiral magnets
• Domain wall skyrmion-based magnonic crystal
• Current-driven dynamics of antiferromagnetic domain-wall skyrmions
• Magnetic D-brane solitons: skyrmion strings ending on a Néel wall in chiral magnets
• Fermionic domain-wall Skyrmions of QCD in a magnetic field
• Creation of domain-wall skyrmions in chiral magnets with Landau-Lifshitz-Gilbert dynamics and demagnetization