ArticleNature communications2024
Three-dimensional flat Landau levels in an inhomogeneous acoustic crystal.
Article in Nature communications, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- Landau level and active manipulation of elastic waves in topological robotic metamaterials.Science advances · 2026Article
- All-angle acoustic topological insulators: from omnidirectional antennas to angle-tunable Klein tunneling.National science review · 2026Article
- Realization of a three-dimensional photonic higher-order topological insulator.Nature communications · 2025Article
- Three-dimensional valley-contrasting sound.Science advances · 2024Article
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Authors and funding
10 authors.
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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.
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