Cheng Zheyu, Guan Yi-Jun, Xue Haoran, Ge Yong, Jia Ding, Long Yang, Yuan Shou-Qi, Sun Hong-Xiang, Chong Yidong, Zhang Baile
Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, 637371, Singapore.
Research Center of Fluid Machinery Engineering and Technology, School of Physics and Electronic Engineering, Jiangsu University, 212013, Zhenjiang, China.
Nat Commun. 2024 Mar 11;15(1):2174. doi: 10.1038/s41467-024-46517-z.
When electrons moving in two dimensions (2D) are subjected to a strong uniform magnetic field, they form flat bands called Landau levels (LLs). LLs can also arise from pseudomagnetic fields (PMFs) induced by lattice distortions. In three-dimensional (3D) systems, there has been no experimental demonstration of LLs as a type of flat band thus far. Here, we report the experimental realization of a flat 3D LL in an acoustic crystal. Starting from a lattice whose bandstructure exhibits a nodal ring, we design an inhomogeneous distortion corresponding to a specific pseudomagnetic vector potential (PVP). This distortion causes the nodal ring states to break up into LLs, including a zeroth LL that is flat along all three directions. These findings suggest the possibility of using nodal ring materials to generate 3D flat bands, allowing access to strong interactions and other attractive physical regimes in 3D.
当二维（2D）中移动的电子受到强均匀磁场作用时，它们会形成称为朗道能级（LLs）的平带。朗道能级也可由晶格畸变诱导的赝磁场（PMFs）产生。在三维（3D）系统中，迄今为止尚无朗道能级作为一种平带的实验证明。在此，我们报告了在声学晶体中实现三维平带朗道能级的实验。从能带结构呈现节线环的晶格出发，我们设计了一种对应于特定赝磁矢势（PVP）的非均匀畸变。这种畸变导致节线环态分裂成朗道能级，包括沿所有三个方向都是平的零阶朗道能级。这些发现表明利用节线环材料生成三维平带的可能性，从而能够进入三维中的强相互作用和其他有吸引力的物理状态。
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