Three-dimensional flat Landau levels in an inhomogeneous acoustic crystal

Zheyu Cheng, Yi-Jun Guan, Haoran Xue (), Yong Ge, Ding Jia, Yang Long, Shou-Qi Yuan, Hong-Xiang Sun (), Yidong Chong () and Baile Zhang ()
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Zheyu Cheng: Nanyang Technological University
Yi-Jun Guan: Jiangsu University
Haoran Xue: The Chinese University of Hong Kong
Yong Ge: Jiangsu University
Ding Jia: Jiangsu University
Yang Long: Nanyang Technological University
Shou-Qi Yuan: Jiangsu University
Hong-Xiang Sun: Jiangsu University
Yidong Chong: Nanyang Technological University
Baile Zhang: Nanyang Technological University

Nature Communications, 2024, vol. 15, issue 1, 1-8

Abstract: Abstract 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.

Date: 2024
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DOI: 10.1038/s41467-024-46517-z

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