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Chin. Phys. B, 2025, Vol. 34(2): 024302    DOI: 10.1088/1674-1056/ada1c5
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

Topological rainbow trapping of sound waves in synthesized three-dimensional space for square lattice

Jie-Yu Lu(卢杰煜), Shi-Feng Li(李石峰), Xin Li(李鑫), Xin-Ye Zou(邹欣晔)†, and Jian-Chun Cheng(程建春)
Key Laboratory of Modern Acoustics, Ministry of Education (MOE), Institute of Acoustics, Department of Physics, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China
Abstract  The three-dimensional (3D) synthetic space offers a platform for exploring the valley Hall insulator, which is usually constructed in graphene lattice. Here, based on the valley transports in the square lattice, we construct a synthetic space by treating the rotation angle as the third dimension and observe the emergent Weyl points in this synthetic space. Since the construction of synthetic Weyl points results in the formation of edge states between the phononic crystal (PC) and the hard boundary, and the factors of rotation angle and the distance from the PC to the hard boundary affect the frequency of these edge states, we can construct topological rainbow concentrator based on the above principles. We conduct a comprehensive numerical and experimental study to explore the characteristics of topological rainbow concentrators. This work may play a driving role in the development of topological rainbow devices.
Keywords:  topological rainbow concentrator      edge states      square lattice  
Received:  02 October 2024      Revised:  19 December 2024      Accepted manuscript online:  20 December 2024
PACS:  43.35.Gk (Phonons in crystal lattices, quantum acoustics)  
  03.65.Vf (Phases: geometric; dynamic or topological)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12074184, 12274219, and 11934009) and the Key Research and Development Project of Jiangsu Province, China (Grant No. BE2022814).
Corresponding Authors:  Xin-Ye Zou     E-mail:  xyzou@nju.edu.cn

Cite this article: 

Jie-Yu Lu(卢杰煜), Shi-Feng Li(李石峰), Xin Li(李鑫), Xin-Ye Zou(邹欣晔), and Jian-Chun Cheng(程建春) Topological rainbow trapping of sound waves in synthesized three-dimensional space for square lattice 2025 Chin. Phys. B 34 024302

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