Research progress of elastic topological materials

CHEN Yi; ZHANG Quan; ZHANG Yafei; XIA Baizhan; LIU Xiaoning; ZHOU Xiaoming; CHEN Changqing; HU Gengkai

doi:10.6052/1000-0992-21-015

Volume 51 Issue 2

Jun. 2021

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Article Navigation > Advances in Mechanics > 2021 > 51(2): 189-256

Chen Y, Zhang Q, Zhang Y F, Xia B Z, Liu X N, Zhou X M, Chen C Q, Hu G K. Research progress of elastic topological materials. Advances in Mechanics, 2021, 51(2): 189-256 doi: 10.6052/1000-0992-21-015

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Chen Y, Zhang Q, Zhang Y F, Xia B Z, Liu X N, Zhou X M, Chen C Q, Hu G K. Research progress of elastic topological materials. Advances in Mechanics, 2021, 51(2): 189-256 doi: 10.6052/1000-0992-21-015

Chen Y, Zhang Q, Zhang Y F, Xia B Z, Liu X N, Zhou X M, Chen C Q, Hu G K. Research progress of elastic topological materials. Advances in Mechanics, 2021, 51(2): 189-256 doi: 10.6052/1000-0992-21-015

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Research progress of elastic topological materials

doi: 10.6052/1000-0992-21-015

1.
Key Laboratory of Dynamics and Control of Flight Vehicle, Ministry of Education, School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
2.
Department of Engineering Mechanics, CNMM and AML, Tsinghua University, Beijing 100084, China
3.
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, China

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Corresponding author: hugeng@bit.edu.cn
Received Date: 2021-03-29
Accepted Date: 2021-05-25

Available Online: 2021-06-07

Publish Date: 2021-06-25

Abstract

Abstract

Topological insulators, originated in quantum systems, are recently generalized to electromagnetic, acoustic, and elastic wave fields due to interesting wave controlling provides, such as unidirectional and dissipationless energy transportation. This new kind of materials provide unprecedented possibilities for engineering wave flows. This paper will introduce the basic theory of topological insulators and summarize the research progress of topological insulators in elastic fields. Based on one-dimensional and two-dimensional discrete models, preliminary concepts of topological insulators, such as Dirac cone, band inversion, Berry curvatures, topological invariants, are introduced. The design and progress of valley Hall insulators, Chern insulators as well as spin Hall insulators are introduced afterward, followed by discussions on high-order topological insulators. The last part of this paper covers topological phenomena in static mechanics, including topological solitons and toplogical zero energy modes.
- topological insulators,
- elastic waves,
- unidirectional propagation,
- topological static mechanics,
- high-order topological insulators

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References(114)

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