Cheng Hengbin, Yang Jingyu, Wang Zhong, Lu Ling
Institute of Physics, Chinese Academy of Sciences/Beijing National Laboratory for Condensed Matter Physics, 100190, Beijing, China.
School of Physical Sciences, University of Chinese Academy of Sciences, 100049, Beijing, China.
Nat Commun. 2024 Aug 26;15(1):7327. doi: 10.1038/s41467-024-51670-6.
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.
磁单极子潜在存在所带来的众多深远影响中，它会在狄拉克方程中诱导出一种拓扑零模，该方程由杰基夫和雷比在48年前推导得出，此后一直难以捉摸。在此，我们表明，通过在刺猬质量构型中使三维狄拉克点带隙化，可以在能带理论中构建单极子和多单极子解。然后，我们在全立体角结构调制的优化狄拉克声子晶体中通过实验证明了这种单极子束缚态。单极子模式呈现出最优的标度行为——其模式间距与模式体积的立方根成反比。这项工作完成了扭结 - 涡旋 - 单极子零模三部曲，并为探索高维体拓扑缺陷对应关系铺平了道路。
