Deformation of magnetic skyrmion due to skyrmion-skyrmion interaction

doi:10.1088/1674-1056/adca20

中国物理B ›› 2025, Vol. 34 ›› Issue (7): 77502-077502.doi: 10.1088/1674-1056/adca20

Deformation of magnetic skyrmion due to skyrmion-skyrmion interaction

Zhen-Qian Cui(崔振茜)¹, Wen-Li Yang(杨文力)^1,2,3, and Jun-Hui Zheng(郑俊辉)^1,2,3,†

1 Institute of Modern Physics and School of Physics, Northwest University, Xi'an 710127, China;
2 Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710127, China;
3 Peng Huanwu Center for Fundamental Theory, Xi'an 710127, China

收稿日期:2025-01-20 修回日期:2025-04-07 接受日期:2025-04-08 出版日期:2025-06-18 发布日期:2025-06-30
通讯作者: Jun-Hui Zheng E-mail:junhui.zheng@nwu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12175180, 11934015, and 12247103, Shaanxi Fundamental Science Research Project for Mathematics and Physics (Grant Nos. 22JSZ005 and 22JSQ041), and the Natural Science Basic Research Program of Shaanxi Province, China (Grant No. 2024JC-YBMS-022).

Deformation of magnetic skyrmion due to skyrmion-skyrmion interaction

Zhen-Qian Cui(崔振茜)¹, Wen-Li Yang(杨文力)^1,2,3, and Jun-Hui Zheng(郑俊辉)^1,2,3,†

1 Institute of Modern Physics and School of Physics, Northwest University, Xi'an 710127, China;
2 Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710127, China;
3 Peng Huanwu Center for Fundamental Theory, Xi'an 710127, China

Received:2025-01-20 Revised:2025-04-07 Accepted:2025-04-08 Online:2025-06-18 Published:2025-06-30
Contact: Jun-Hui Zheng E-mail:junhui.zheng@nwu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12175180, 11934015, and 12247103, Shaanxi Fundamental Science Research Project for Mathematics and Physics (Grant Nos. 22JSZ005 and 22JSQ041), and the Natural Science Basic Research Program of Shaanxi Province, China (Grant No. 2024JC-YBMS-022).

摘要/Abstract

摘要： Understanding skyrmion-skyrmion interactions and their dynamical effects is crucial for skyrmion-based applications. In this article, we investigate the deformation of skyrmions induced by the inter-skyrmion interaction in both static and dynamic scenarios for a two-skyrmion system. In the static case under a pinning magnetic field, the inter-skyrmion interaction energy decreases rapidly with increasing separation between the skyrmions, while their individual sizes grow. The semiaxis ratio of the elliptical skyrmion exhibits non-monotonic behavior, owing to the competition between skyrmion-skyrmion interactions and pinning effects. In dynamic simulations after removing the external pinning field, the two skyrmions spiral away from each other with increasing separation. Following a rapid relaxation period after magnetic field withdrawal, their semiaxis ratio typically increases with distance and the skyrmions gradually approach a perfect circular shape. These findings provide valuable insights into the behavior and interactions of two-skyrmion systems.

关键词: ferromagnetic, skyrmion, Mumax3 software

Abstract: Understanding skyrmion-skyrmion interactions and their dynamical effects is crucial for skyrmion-based applications. In this article, we investigate the deformation of skyrmions induced by the inter-skyrmion interaction in both static and dynamic scenarios for a two-skyrmion system. In the static case under a pinning magnetic field, the inter-skyrmion interaction energy decreases rapidly with increasing separation between the skyrmions, while their individual sizes grow. The semiaxis ratio of the elliptical skyrmion exhibits non-monotonic behavior, owing to the competition between skyrmion-skyrmion interactions and pinning effects. In dynamic simulations after removing the external pinning field, the two skyrmions spiral away from each other with increasing separation. Following a rapid relaxation period after magnetic field withdrawal, their semiaxis ratio typically increases with distance and the skyrmions gradually approach a perfect circular shape. These findings provide valuable insights into the behavior and interactions of two-skyrmion systems.

Key words: ferromagnetic, skyrmion, Mumax3 software

中图分类号: (Micromagnetic simulations ?)

75.78.Cd

75.30.Gw (Magnetic anisotropy) 75.78.-n (Magnetization dynamics) 12.39.Dc (Skyrmions)

Zhen-Qian Cui(崔振茜), Wen-Li Yang(杨文力), and Jun-Hui Zheng(郑俊辉). Deformation of magnetic skyrmion due to skyrmion-skyrmion interaction[J]. 中国物理B, 2025, 34(7): 77502-077502.

Zhen-Qian Cui(崔振茜), Wen-Li Yang(杨文力), and Jun-Hui Zheng(郑俊辉). Deformation of magnetic skyrmion due to skyrmion-skyrmion interaction[J]. Chin. Phys. B, 2025, 34(7): 77502-077502.

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Deformation of magnetic skyrmion due to skyrmion-skyrmion interaction

Deformation of magnetic skyrmion due to skyrmion-skyrmion interaction

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