Interacting topological magnons in a checkerboard ferromagnet

doi:10.1088/1674-1056/ad01a2

中国物理B ›› 2024, Vol. 33 ›› Issue (3): 37503-037503.doi: 10.1088/1674-1056/ad01a2

Interacting topological magnons in a checkerboard ferromagnet

Heng Zhu(朱恒), Hongchao Shi(施洪潮), Zhengguo Tang(唐政国), and Bing Tang(唐炳)^†

Department of Physics, Jishou University, Jishou 416000, China

收稿日期:2023-07-14 修回日期:2023-09-15 接受日期:2023-10-10 出版日期:2024-02-22 发布日期:2024-02-22
通讯作者: Bing Tang E-mail:bingtangphy@jsu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 12064011), the Natural Science Fund Project of Hunan Province (Grant No. 2020JJ4498), and the Graduate Research Innovation Foundation of Jishou University (Grant No. Jdy21030).

Interacting topological magnons in a checkerboard ferromagnet

Heng Zhu(朱恒), Hongchao Shi(施洪潮), Zhengguo Tang(唐政国), and Bing Tang(唐炳)^†

Department of Physics, Jishou University, Jishou 416000, China

Received:2023-07-14 Revised:2023-09-15 Accepted:2023-10-10 Online:2024-02-22 Published:2024-02-22
Contact: Bing Tang E-mail:bingtangphy@jsu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 12064011), the Natural Science Fund Project of Hunan Province (Grant No. 2020JJ4498), and the Graduate Research Innovation Foundation of Jishou University (Grant No. Jdy21030).

摘要/Abstract

摘要： This work is devoted to studying the magnon-magnon interaction effect in a two-dimensional checkerboard ferromagnet with the Dzyaloshinskii-Moriya interaction. Using a first-order Green function method, we analyze the influence of magnon-magnon interaction on the magnon band topology. We find that Chern numbers of two renormalized magnon bands are different above and below the critical temperature, which means that the magnon band gap-closing phenomenon is an indicator for one topological phase transition of the checkerboard ferromagnet. Our results show that the checkerboard ferromagnet possesses two topological phases, and its topological phase can be controlled either via the temperature or the applied magnetic field due to magnon-magnon interactions. Interestingly, it is found that the topological phase transition can occur twice with the increase in the temperature, which is different from the results of the honeycomb ferromagnet.

关键词: topological magnons, magnon-magnon interactions, topological phase transitions, checkerboard ferromagnets

Abstract: This work is devoted to studying the magnon-magnon interaction effect in a two-dimensional checkerboard ferromagnet with the Dzyaloshinskii-Moriya interaction. Using a first-order Green function method, we analyze the influence of magnon-magnon interaction on the magnon band topology. We find that Chern numbers of two renormalized magnon bands are different above and below the critical temperature, which means that the magnon band gap-closing phenomenon is an indicator for one topological phase transition of the checkerboard ferromagnet. Our results show that the checkerboard ferromagnet possesses two topological phases, and its topological phase can be controlled either via the temperature or the applied magnetic field due to magnon-magnon interactions. Interestingly, it is found that the topological phase transition can occur twice with the increase in the temperature, which is different from the results of the honeycomb ferromagnet.

Key words: topological magnons, magnon-magnon interactions, topological phase transitions, checkerboard ferromagnets

中图分类号: (Quantized spin models, including quantum spin frustration)

75.10.Jm

75.45.+j (Macroscopic quantum phenomena in magnetic systems) 75.76.+j (Spin transport effects) 24.10.Cn (Many-body theory)

Heng Zhu(朱恒), Hongchao Shi(施洪潮), Zhengguo Tang(唐政国), and Bing Tang(唐炳). Interacting topological magnons in a checkerboard ferromagnet[J]. 中国物理B, 2024, 33(3): 37503-037503.

Heng Zhu(朱恒), Hongchao Shi(施洪潮), Zhengguo Tang(唐政国), and Bing Tang(唐炳). Interacting topological magnons in a checkerboard ferromagnet[J]. Chin. Phys. B, 2024, 33(3): 37503-037503.

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Interacting topological magnons in a checkerboard ferromagnet

Interacting topological magnons in a checkerboard ferromagnet

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