journal article·2025-09Open access

Realization of Spin‐locked Acoustic Helical Landau Levels in both Hexagonal and Square Lattices

Yafeng Chen, Zhihao Lan, Shanjun Liang, Lei Fan, Jie Zhu, Zhongqing Su

Advanced Science· Volume 12· Issue 36

Abstract

Abstract Topological zeroth‐order Landau levels offer a promising avenue for steering acoustic and electromagnetic waves. However, the helical Landau levels in 2D acoustic systems remain an unresolved challenge. Moreover, previous studies on zeroth‐order Landau levels have primarily focused on hexagonal lattices, leaving their counterparts in square lattices largely unexplored. In this study, the helical Landau levels rooted in acoustic quantum spin Hall systems are theoretically proposed and experimentally validated. By linearly increasing the local bandgap through the lifting of the double Dirac cone in acoustic crystals with both square and hexagonal lattices—achieved via topology optimization method—a position‐dependent effective mass is introduced in the Dirac Hamiltonian, thereby synthesizing in‐plane pseudomagnetic fields. This results in the emergence of spin‐locked helical Landau levels, which has been experimentally validated. The large‐area conveyance of acoustic energy facilitated by these helical Landau levels is demonstrated and the robustness of Landau‐level‐mediated propagation against defects is confirmed. A new pathway for exploring acoustic helical Landau levels based on spin Hall physics is opened.
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Research context

OpenAlex topics: Topological Materials and Phenomena · Quantum Mechanics and Non-Hermitian Physics · Metamaterials and Metasurfaces Applications

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Institute of Acoustics School of Physics Science and Engineering Tongji University Shanghai 200092 China

Department of Electronic and Electrical Engineering University College London London WC1E 7JE UK

Division of Science, Engineering and Health Studies College of Professional and Continuing Education Hong Kong Polytechnic University Kowloon Hong Kong SAR 999077 China

Department of Mechanical Engineering The Hong Kong Polytechnic University Kowloon Hong Kong SAR 999077 China

Funding

National Natural Science Foundation of China · National Key Research and Development Program of China

References (44)

Show source-provided references
1. 10.1103/PhysRevLett.49.40510.1103/PhysRevLett.49.405 ↗
2. 10.1103/PhysRevLett.45.49410.1103/PhysRevLett.45.494 ↗
3. 10.1103/PhysRevLett.118.19430110.1103/PhysRevLett.118.194301 ↗
4. 10.1103/PhysRevLett.119.19550210.1103/PhysRevLett.119.195502 ↗
5. 10.1038/nphys142010.1038/nphys1420 ↗
6. 10.1126/science.119170010.1126/science.1191700 ↗
7. 10.1016/0370-2693(83)91529-010.1016/0370-2693(83)91529-0 ↗
8. Pikulin D. · Phys. Rev. X · 2016 · 6
9. Grushin A. G. · Phys. Rev. X · 2016 · 6
10. 10.1038/s42254-019-0121-810.1038/s42254-019-0121-8 ↗
11. 10.1038/s41467-018-04080-410.1038/s41467-018-04080-4 ↗
12. 10.1103/PhysRevB.101.20513410.1103/PhysRevB.101.205134 ↗
13. 10.1038/s41567-019-0415-x10.1038/s41567-019-0415-x ↗
14. 10.1126/science.aau770710.1126/science.aau7707 ↗
15. 10.1016/j.scib.2019.02.00510.1016/j.scib.2019.02.005 ↗
16. 10.1016/j.scib.2024.04.05510.1016/j.scib.2024.04.055 ↗
17. 10.1016/j.scib.2024.05.02910.1016/j.scib.2024.05.029 ↗
18. 10.1038/s41377-023-01209-z10.1038/s41377-023-01209-z ↗
19. 10.1515/nanoph-2024-020010.1515/nanoph-2024-0200 ↗
20. 10.1103/PhysRevB.109.18410910.1103/PhysRevB.109.184109 ↗
21. 10.1103/PhysRevLett.133.25660210.1103/PhysRevLett.133.256602 ↗
22. 10.1007/s44214-023-00048-810.1007/s44214-023-00048-8 ↗
23. 10.1038/s42005-025-01946-010.1038/s42005-025-01946-0 ↗
24. 10.48550/arXiv.2501.0493310.48550/arXiv.2501.04933 ↗
25. 10.1103/PhysRevB.111.18430310.1103/PhysRevB.111.184303 ↗
26. 10.1038/s42005-025-02053-w10.1038/s42005-025-02053-w ↗
27. 10.1103/PhysRevB.92.04520310.1103/PhysRevB.92.045203 ↗
28. 10.1103/PhysRevB.96.23510410.1103/PhysRevB.96.235104 ↗
29. Lu H. Z. · Front. Phys. · 2017 · 12 · 1
30. Liu J. W. · Adv. Phys.: X · 2021 · 6
31. 10.1002/adpr.20210001310.1002/adpr.202100013 ↗
32. 10.1002/advs.20220120410.1002/advs.202201204 ↗
33. 10.1002/advs.20241139810.1002/advs.202411398 ↗
34. 10.1002/advs.20240483910.1002/advs.202404839 ↗
35. 10.1038/nmat352010.1038/nmat3520 ↗
36. 10.1103/PhysRevLett.114.12740110.1103/PhysRevLett.114.127401 ↗
37. 10.1103/PhysRevLett.114.22390110.1103/PhysRevLett.114.223901 ↗
38. 10.1103/PhysRevLett.120.21740110.1103/PhysRevLett.120.217401 ↗
39. 10.1038/nphys386710.1038/nphys3867 ↗
40. 10.1103/PhysRevLett.118.08430310.1103/PhysRevLett.118.084303 ↗
41. 10.1103/PhysRevB.103.06430810.1103/PhysRevB.103.064308 ↗
42. 10.1515/nanoph-2022-030910.1515/nanoph-2022-0309 ↗
43. 10.1016/j.ymssp.2020.10705410.1016/j.ymssp.2020.107054 ↗
44. 10.1103/PhysRevLett.133.23380110.1103/PhysRevLett.133.233801 ↗