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$\mathbb{C}P^2$ Skyrmion Crystals in an SU(3) Magnet with a Generalized Dzyaloshinskii-Moriya Interaction

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arxiv 2204.01476 v2 pith:IXD7B7M4 submitted 2022-04-04 cond-mat.str-el hep-th

Yuki Amari , Yutaka Akagi , Sven Bjarke Gudnason , Muneto Nitta , Yakov Shnir This is my paper · ORCID
classification cond-mat.str-elhep-th
keywords mathbbcrystalsskyrmiondzyaloshinskii-moriyainteractionmodelskyrmionsapplications
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abstract

We study $\mathbb{C}P^2$ Skyrmion crystals in the ferromagnetic SU(3) Heisenberg model with a generalization of the Dzyaloshinskii-Moriya interaction and the Zeeman term. The model possesses two different types of Skyrmion crystals with unit-Skyrmions that can be interpreted as bound states of two half-Skyrmions or four quarter-Skyrmions. Our study on $\mathbb{C}P^2$ Skyrmion crystals opens up the possibility for useful future applications since $\mathbb{C}P^2$ Skyrmions have more degrees of freedom than the usual $\mathbb{C}P^1$ (magnetic) Skyrmions.

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  1. Higher-dimensional magnetic Skyrmions

    cond-mat.mes-hall 2024-11 conditional novelty 7.0 of 10

    Three-dimensional magnetic Skyrmions with an S³ target space are proposed, with a generalized DMI yielding a stable Skyrmion, a sphaleron, and a metastable small Skyrmion in the hybrid model.

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