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  • Letter

Magnon corner states in twisted bilayer honeycomb magnets

Chun-Bo Hua1,2,*, Feiping Xiao3,*, Zheng-Rong Liu4,*, Jin-Hua Sun5, Jin-Hua Gao6, Chui-Zhen Chen7, Qingjun Tong3,†, Bin Zhou4,‡, and Dong-Hui Xu8,9,§

  • 1School of Electronic and Information Engineering, Hubei University of Science and Technology, Xianning 437100, China
  • 2Laboratory of Optoelectronic Information and Intelligent Control, Hubei University of Science and Technology, Xianning 437100, China
  • 3School of Physics and Electronics, Hunan University, Changsha 410082, China
  • 4Department of Physics, Hubei University, Wuhan 430062, China
  • 5Department of Physics, Ningbo University, Ningbo 315211, China
  • 6School of Physics and Wuhan National High Magnetic Field Center, Huazhong University of Science and Technology, Wuhan 430074, China
  • 7Institute for Advanced Study and School of Physical Science and Technology, Soochow University, Suzhou 215006, China
  • 8Department of Physics and Chongqing Key Laboratory for Strongly Coupled Physics, Chongqing University, Chongqing 400044, People's Republic of China
  • 9Center of Quantum Materials and Devices, Chongqing University, Chongqing 400044, People's Republic of China

  • *These authors contributed equally to this work.
  • †tongqj@hnu.edu.cn
  • ‡binzhou@hubu.edu.cn
  • §donghuixu@cqu.edu.cn
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Phys. Rev. B 107, L020404 – Published 12 January, 2023

DOI: https://doi.org/10.1103/PhysRevB.107.L020404

Abstract

The study of symmetry-protected topological phases of matter has been extended from fermionic electron systems to various bosonic systems. Bosonic topological magnon phases in magnetic materials have received much attention because of their exotic uncharged topologically protected boundary modes and the potential for dissipationless magnonics and spintronic applications. Here, we establish twisted bilayer honeycomb magnets as a platform for hosting second-order topological magnon insulators (SOTMIs) without fine-tuning. We employ a simple, minimal Heisenberg spin model to describe misaligned bilayer sheets of honeycomb ferromagnetic magnets with a large commensurate twist angle. We found that the higher-order topology in this bilayer system shows a significant dependence on the interlayer exchange coupling. The SOTMI, featuring topologically protected magnon corner states that go beyond the conventional bulk-boundary correspondence, appears for ferromagnetic interlayer couplings, while the twisted bilayer exhibits a nodal phase in the case of antiferromagnetic interlayer coupling. At last, relevance to twisted bilayer CrI3 is also discussed.

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Phys. Rev. B 107, L020404– Published 12 January, 2023
  • Received 22 June 2022
  • Revised 2 December 2022
  • Accepted 3 January 2023
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