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Topological materials for elastic wave in continuum

连续介质中的弹性波拓扑材料

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Abstract

Elastic wave has wide applications, such as signal processing, sensor, and communication. It is highly desired to control the propagation of elastic wave efficiently. Inspired by various topological phenomena in electronic systems, robust transports of elastic wave have attracted much attention. In this paper, we review the recent progress on elastic wave topologies, including elastic quantum spin Hall effect, valley Hall effect, Weyl semimetal, higher-order topology, and other topological effects. Finally, we give some brief outlooks on elastic wave topologies. Three-dimensional topological materials and non-Hermitian physics for elastic waves are yet to be explored. Due to the strong intrinsic nonlinearity, it is an ideal platform to investigate nonlinear properties in nanomechanical structures. In addition to passive materials, active materials may be introduced to realize tunable multifunctionalities. Topological elastic materials have promising prospects in device applications.

摘要

弹性波具有广泛的应用, 如信号处理、传感和通信等. 高效地控制弹性波的传播具有重要的应用价值. 受到电子体系中各种拓扑现象的启发, 弹性波拓扑态及其鲁棒性传输引起了人们的广泛关注. 本文综述了**年来弹性波拓扑的最新研究进展, 包括弹性波量子自旋霍尔效应、能谷霍尔效应、外尔半金属、高阶拓扑态, 以及其他拓扑效应. 最后, 我们对弹性波拓扑效应的研究作了简要的展望: 三维弹性波拓扑材料及其丰富拓扑输运现象还有待实验验证; 弹性波体系中的非厄米拓扑物理研究还需要进一步的探索; 由于微纳结构材料具有很**的非线性响应, 弹性波是研究拓扑非线性特性的理想**台; 除了被动单元, 主动单元的引入有望实现可调控的多功能弹性波器件.

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Acknowledgements

This work was supported by the National Key R&D Program of China (Grant Nos. 2022YFA1404900, 2022YFA1404500, and 2018YFA0305800), the National Natural Science Foundation of China (Grant Nos. 11890701, 11974120, 11974005, 12074128, and 12222405), and Guangdong Basic and Applied Basic Research Foundation (Grant Nos. 2019B151502012, 2021B1515020086, and 2022B1515020102).

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  1. These authors contributed equally to this work.

Authors and Affiliations

  1. School of Physics and Optoelectronics, South China University of Technology, Guangzhou, 510640, China

    Xueqin Huang  (黄学勤), Jiuyang Lu  (陆久阳) & Weiyin Deng  (邓伟胤)

  2. Key Laboratory of Artificial Micro- and Nanostructures of Ministry of Education and School of Physics and Technology, Wuhan University, Wuhan, 430072, China

    Zhengyou Liu  (刘**猷)

  3. Institute for Advanced Studies, Wuhan University, Wuhan, 430072, China

    Zhengyou Liu  (刘**猷)

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  1. Xueqin Huang  (黄学勤)
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Xueqin Huang and Jiuyang Lu contributed equally to this work. All the authors wrote the first draft of the manuscript, revised and edited the final version.

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Correspondence to Zhengyou Liu  (刘**猷).

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Huang, X., Lu, J., Deng, W. et al. Topological materials for elastic wave in continuum. Acta Mech. Sin. 39, 723041 (2023). https://doi.org/10.1007/s10409-023-23041-x

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