Dimensional hierarchy of higher-order topology in three-dimensional sonic crystals

Xiujuan Zhang, Bi-Ye Xie, Hong-Fei Wang, Xiangyuan Xu, Yuan Tian, Jian-Hua Jiang (), Ming-Hui Lu () and Yan-Feng Chen ()
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Xiujuan Zhang: Nanjing University
Bi-Ye Xie: Nanjing University
Hong-Fei Wang: Nanjing University
Xiangyuan Xu: Nanjing University
Yuan Tian: Nanjing University
Jian-Hua Jiang: Soochow University
Ming-Hui Lu: Nanjing University
Yan-Feng Chen: Nanjing University

Nature Communications, 2019, vol. 10, issue 1, 1-10

Abstract: Abstract Wave trapping and manipulation are at the heart of modern integrated photonics and acoustics. Grand challenges emerge on increasing the integration density and reducing the wave leakage/noises due to fabrication imperfections, especially for waveguides and cavities at subwavelength scales. The rising of robust wave dynamics based on topological mechanisms offers possible solutions. Ideally, in a three-dimensional (3D) topological integrated chip, there are coexisting robust two-dimensional (2D) interfaces, one-dimensional (1D) waveguides and zero-dimensional (0D) cavities. Here, we report the experimental discovery of such a dimensional hierarchy of the topologically-protected 2D surface states, 1D hinge states and 0D corner states in a single 3D system. Such an unprecedented phenomenon is triggered by the higher-order topology in simple-cubic sonic crystals and protected by the space group $${P}_{m\bar{3}m}$$Pm3 ¯m. Our study opens up a new regime for multidimensional wave trapping and manipulation at subwavelength scales, which may inspire future technology for integrated acoustics and photonics.

Date: 2019
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DOI: 10.1038/s41467-019-13333-9

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