Recently, the study of topological phase transitions and edge states for acoustic wave systems has become a research hotspot. However, most current studies on topological edge states are based on Bragg scattering, which is not practical to apply in situations involving low-frequency sound because of the large structural dimensions. Therefore, the authors construct, in this study, a graphene-like structure based on a sub-wavelength resonant unit Helmholtz resonator and adjust the acoustic capacitance diameter of adjacent units to change the local resonance frequency, and thereby impose the degeneracy of the Dirac cone and topological spin states, which is characterized by valley Chern numbers of opposite sign. The authors also check topological valley edge states at zigzag and armchair interfaces and find that gapless topological valley edge states only appear at zigzag interfaces, whereas armchair interfaces host gap edge states. Moreover, the results show that the transmission properties of edge states in a zigzag rectangular waveguide are immune to backscattering and defects.
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July 2019
July 31 2019
Acoustic valley edge states in a graphene-like system with sub-wavelength resonator Available to Purchase
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Non-reciprocal and Topological Wave Phenomena in Acoustics
Heng Jiang;
Heng Jiang
a)
1
Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences
, Beijing 100190, People's Republic of China
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Meng Chen;
Meng Chen
a)
1
Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences
, Beijing 100190, People's Republic of China
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Yu Liu;
Yu Liu
a)
1
Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences
, Beijing 100190, People's Republic of China
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Tao Yang;
Tao Yang
a)
1
Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences
, Beijing 100190, People's Republic of China
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Wenshuai Xu;
Wenshuai Xu
a)
1
Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences
, Beijing 100190, People's Republic of China
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Yihan Liu;
Yihan Liu
2
Petrochina Oil and Gas Pipeline Control Center
, Beijing 100007, People's Republic of China
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Mangong Zhang;
Mangong Zhang
3
Wuhan Second Ship Design and Research Institute
, Wuhan, Hubei 430064, People's Republic of China
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Yuren Wang
Yuren Wang
b)
1
Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences
, Beijing 100190, People's Republic of China
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Heng Jiang
1,a)
Meng Chen
1,a)
Yu Liu
1,a)
Tao Yang
1,a)
Wenshuai Xu
1,a)
Yihan Liu
2
Mangong Zhang
3
Yuren Wang
1,b)
1
Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences
, Beijing 100190, People's Republic of China
2
Petrochina Oil and Gas Pipeline Control Center
, Beijing 100007, People's Republic of China
3
Wuhan Second Ship Design and Research Institute
, Wuhan, Hubei 430064, People's Republic of China
a)
Also at: University of Chinese Academy of Sciences, Beijing, 100049, People's Republic of China.
b)
Also at: University of Chinese Academy of Sciences, Beijing, 100049, People's Republic of China. Electronic mail: [email protected]
J. Acoust. Soc. Am. 146, 736–741 (2019)
Article history
Received:
January 10 2019
Accepted:
April 25 2019
Citation
Heng Jiang, Meng Chen, Yu Liu, Tao Yang, Wenshuai Xu, Yihan Liu, Mangong Zhang, Yuren Wang; Acoustic valley edge states in a graphene-like system with sub-wavelength resonator. J. Acoust. Soc. Am. 1 July 2019; 146 (1): 736–741. https://doi.org/10.1121/1.5115016
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