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

doi:10.1088/1674-1056/ada1c5

中国物理B ›› 2025, Vol. 34 ›› Issue (2): 24302-024302.doi: 10.1088/1674-1056/ada1c5

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

收稿日期:2024-10-02 修回日期:2024-12-19 接受日期:2024-12-20 出版日期:2025-02-15 发布日期:2025-01-15
通讯作者: Xin-Ye Zou E-mail:xyzou@nju.edu.cn
基金资助:
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).

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

Received:2024-10-02 Revised:2024-12-19 Accepted:2024-12-20 Online:2025-02-15 Published:2025-01-15
Contact: Xin-Ye Zou E-mail:xyzou@nju.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: topological rainbow concentrator, edge states, square lattice

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.

Key words: topological rainbow concentrator, edge states, square lattice

中图分类号: (Phonons in crystal lattices, quantum acoustics)

43.35.Gk

03.65.Vf (Phases: geometric; dynamic or topological)

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[J]. 中国物理B, 2025, 34(2): 24302-024302.

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

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

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