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Observation of monopole topological mode

Author

Listed:
  • Hengbin Cheng

    (Chinese Academy of Sciences/Beijing National Laboratory for Condensed Matter Physics
    University of Chinese Academy of Sciences)

  • Jingyu Yang

    (Chinese Academy of Sciences/Beijing National Laboratory for Condensed Matter Physics
    University of Chinese Academy of Sciences)

  • Zhong Wang

    (Tsinghua University)

  • Ling Lu

    (Chinese Academy of Sciences/Beijing National Laboratory for Condensed Matter Physics)

Abstract

Among the many far-reaching consequences of the potential existence of a magnetic monopole, it induces a topological zero mode in the Dirac equation, which was derived by Jackiw and Rebbi 48 years ago and has been elusive ever since. Here, we show that the monopole and multi-monopole solutions can be constructed in the band theory by gapping the three-dimensional Dirac points in hedgehog mass configurations. We then experimentally demonstrate such a monopole bound state in an optimized Dirac acoustic crystal structurally modulated in full solid angles. The monopole mode exhibits the optimal scaling behavior — whose modal spacing is inversely proportional to the cubic root of the modal volume. This work completes the kink-vortex-monopole zero-mode trilogy and paves the way for exploring higher-dimensional bulk-topological-defect correspondence.

Suggested Citation

  • Hengbin Cheng & Jingyu Yang & Zhong Wang & Ling Lu, 2024. "Observation of monopole topological mode," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-51670-6
    DOI: 10.1038/s41467-024-51670-6
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    References listed on IDEAS

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    1. Ji-Qian Wang & Zi-Dong Zhang & Si-Yuan Yu & Hao Ge & Kang-Fu Liu & Tao Wu & Xiao-Chen Sun & Le Liu & Hua-Yang Chen & Cheng He & Ming-Hui Lu & Yan-Feng Chen, 2022. "Extended topological valley-locked surface acoustic waves," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
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