| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Topological Wannier Cycles for the Bulk and Edges |
| Ze-Lin Kong1, Zhi-Kang Lin1*, and Jian-Hua Jiang1,2* |
1School of Physical Science and Technology, and Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, Suzhou 215006, China
2Key Lab of Advanced Optical Manufacturing Technologies of Jiangsu Province, and Key Lab of Modern Optical Technologies of Ministry of Education, Soochow University, Suzhou 215006, China
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| Cite this article: |
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Ze-Lin Kong, Zhi-Kang Lin, and Jian-Hua Jiang 2022 Chin. Phys. Lett. 39 084301 |
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Abstract Topological materials are often characterized by unique edge states which are in turn used to detect different topological phases in experiments. Recently, with the discovery of various higher-order topological insulators, such spectral topological characteristics are extended from edge states to corner states. However, the chiral symmetry protecting the corner states is often broken in genuine materials, leading to vulnerable corner states even when the higher-order topological numbers remain quantized and invariant. Here, we show that a local artificial gauge flux can serve as a robust probe of the Wannier type higher-order topological insulators, which is effective even when the chiral symmetry is broken. The resultant observable signature is the emergence of the cyclic spectral flows traversing one or multiple band gaps. These spectral flows are associated with the local modes bound to the artificial gauge flux. This phenomenon is essentially due to the cyclic transformation of the Wannier orbitals when the local gauge flux acts on them. We extend topological Wannier cycles to systems with $C_{2}$ and $C_{3}$ symmetries and show that they can probe both the bulk and the edge Wannier centers, yielding rich topological phenomena.
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Received: 21 March 2022
Editors' Suggestion
Published: 05 July 2022
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| PACS: |
43.40.+s
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(Structural acoustics and vibration)
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43.20.+g
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(General linear acoustics)
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46.40.-f
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(Vibrations and mechanical waves)
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46.40.Cd
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(Mechanical wave propagation (including diffraction, scattering, and dispersion))
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