Third-order square-root topological insulators on decorated diamond sonic crystals
At a Glance
Section titled âAt a Glanceâ| Metadata | Details |
|---|---|
| Publication Date | 2023-06-26 |
| Journal | Journal of Physics Condensed Matter |
| Authors | Zhi-Guo Geng, YaâXi Shen, Liwei Duan, Zhaojiang Chen, XueâFeng Zhu |
| Institutions | Zhejiang Normal University, Huazhong University of Science and Technology |
| Citations | 5 |
Abstract
Section titled âAbstractâAbstract The square-root operation can generate novel topological phases, whose nontrivial topological properties are inherited from the parent Hamiltonian. Here we report the acoustic realization of third-order square-root topological insulators by adding additional resonators between the site resonators of original diamond lattice. Due to the square-root operation, multiple acoustic localized modes appear in doubled bulk gaps. The bulk polarizations of the tight-binding models are employed to reveal the topological feature of the higher-order topological states. By tuning the coupling strength, we find the emergence of third-order topological corner states in doubled bulk gaps on tetrahedron-like and rhombohedron-like sonic crystals, respectively. The shape dependence of square-root corner states provides an extra degree of freedom for flexible manipulation on the sound localization. Furthermore, the robustness of the corner states in three-dimensional (3D) square-root topological insulator is well elucidated by introducing random disorders into the irrelevant bulk region of the proposed 3D lattices. This work extends square-root higher-order topological states into 3D system, and may find possible applications in selective acoustic sensors.
Tech Support
Section titled âTech SupportâOriginal Source
Section titled âOriginal SourceâReferences
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