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Phase field modeling of topological magnetic structures in ferromagnetic materials: domain wall, vortex, and skyrmion

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Abstract

Topological magnetic structures in ferromagnetic materials have attracted considerable attention due to their interesting physics and potential applications in devices. Ferromagnetic materials often exhibit magnetoelastic coupling effect. Therefore, topological magnetic structures can be modulated by strain engineering. In order to understand the mechanism of strain modulation and dynamic properties of topological magnetic structures, different phase field models have been proposed to predict the evolutions of topological magnetic orders. In this review, we first introduce the phase field models based on micromagnetic theory, elastodynamic equation, and Maxwell equation. Then, we review the recent progress in phase field simulations on the mechanical manipulation of the topological magnetic structures, including magnetic domain wall, vortex, and skyrmion. Based on the phase field modeling of dynamic characteristics of topological magnetic structures, the present review also discusses the modes of topological magnetic structures in frequency domain, the modulation of magnetization under different external fields, and the coupling between topological magnetic structures and spin waves. The review concludes by briefly addressing the future research directions in the field.

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Copyright 2008, Science. f, g Proposal of domain wall logic and domain wall memory in hybrid piezoelectric/ferromagnetic structures. f Design of a multi-input NOR logic function by using voltage control of elementary DW gates. g Design of a racetrack memory using voltage control of a DW gate. Panels f and g adapted with permission from Ref. [25]. Copyright 2013, Nature Communications

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Copyright 2021, Applied Physics Letters

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Copyright 2020, Nanoscale

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Copyright 2018, npj Computational Materials

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Copyright 2022, ACS Nano

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Copyright 2021, Nano Letters

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Copyright 2021, Nature Nanotechnology

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Authors and Affiliations

  1. Department of Engineering Mechanics, Zhejiang University, Zheda Road 38, Hangzhou, 310027, Zhejiang, China

    Jiajun Sun, Shengbin Shi & Jie Wang

  2. Department of Mechanical Engineering and Science, Kyoto University, Nishikyo-Ku, Kyoto, 615-8540, Japan

    Yu Wang

  3. Zhejiang Laboratory, Hangzhou, 311100, Zhejiang, China

    Jie Wang

  4. Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Zheda Road 38, Hangzhou, 310027, Zhejiang, China

    Jie Wang

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Sun, J., Shi, S., Wang, Y. et al. Phase field modeling of topological magnetic structures in ferromagnetic materials: domain wall, vortex, and skyrmion. Acta Mech 234, 283–311 (2023). https://doi.org/10.1007/s00707-022-03395-0

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