Exploration of nontrivial topological domain structures in the equilibrium state of magnetic nanodisks

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Exploration of nontrivial topological domain structures in the equilibrium state of magnetic nanodisks Dan Liu1,* , Tongyun Zhao2, Ming Zhang3, Lichen Wang4, Jianfeng Xi1, Baogen Shen2 Baohe Li1,*, Fengxia Hu2, and Jirong Sun2

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Department of Physics, School of Artificial Intelligence, Beijing Technology and Business University, Beijing 100048, People’s Republic of China 2 State Key Laboratory of Magnetism, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China 3 School of Physics, Inner Mongolia University of Science and Technology, Baotou 014010, People’s Republic of China 4 Key Laboratory of Cryogenics, Technical Institute of Physics and Chemistry, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China

Received: 22 June 2020

ABSTRACT

Accepted: 13 November 2020

Topological magnetic domains exhibit many fascinating features and great potential in information storage and spintronics owing to their unique spin textures. In order to investigate the topological properties of the domain structures, the spontaneous evolutions of magnetic moments are evaluated by using Landau–Lifshitz–Gilbert equation. The equilibrium phase diagrams of the system with randomly, radial and axial distributed initial magnetic moments have been studied in detail. Simulation results show that the changes of quality factor (Q) and aspect ratio (T/D) lead to great differences in magnetization process under different initial magnetization states. Vortex, biskyrmion, skyrmion and bubble are formed as the value of Q gradually increases from 0 to 1. The system with Q \ 0.5 is easy to stabilize into a vortex state, while the magnetic moments of the system with Q [ 1.0 are arranged along the easy axis. When Q and T/D are in the range of 0.6 * 0.8 and 0.10 * 0.16, respectively, it is conducive to the formation of nontrivial topological domain. Biskyrmion is spontaneously formed in the system of Q = 0.6 and T/D = 0.12, proving that skyrmion-like domain can be generated in the absence of Dzyaloshinskii–Moriya interaction or external field.

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Springer Science+Business

Media, LLC, part of Springer Nature 2020

Handling Editor: Yaroslava Yingling.

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https://doi.org/10.1007/s10853-020-05569-4

J Mater Sci

Introduction The rapid development of data communication leads to higher requirements on the availability, reliability and data rate of storage. Ferromagnetic materials have spatially ordered magnetization patterns under various conditions, that is, magnetic domains, which have played an indispensable role in data storage technologies of the digital age [1, 2]. Noncollinear and noncoplanar topological magnetic domain structures, also known as nontrivial topological magnetic domain, are considered as one candidate for a new generation of high-density, high-speed and low-energy consumption information storage unit. It is commonly found in nanomagnetic materials, including skyrmion, bubble, vortex, meron and magnetic doma