Interacting topological magnons in a checkerboard ferromagnet

doi:10.1088/1674-1056/ad01a2

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.

Keywords: topological magnons magnon-magnon interactions topological phase transitions checkerboard ferromagnets

Received: 14 July 2023
Revised: 15 September 2023
Accepted manuscript online: 10 October 2023

PACS:	75.10.Jm	(Quantized spin models, including quantum spin frustration)
	75.45.+j	(Macroscopic quantum phenomena in magnetic systems)
	75.76.+j	(Spin transport effects)
	24.10.Cn	(Many-body theory)

Fund: 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).

Corresponding Authors: Bing Tang
E-mail: bingtangphy@jsu.edu.cn

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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 2024 Chin. Phys. B 33 037503

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Interacting topological magnons in a checkerboard ferromagnet

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