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Clock-symmetric non-Hermitian second-order topological insulator

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Abstract

We consider a breathing Kagome lattice with complex hoppings by imposing \( \mathbb {Z}_{3}\) clock symmetry in the complex-energy plane. It is a non-Hermitian generalization of the second-order topological insulator characterized by the emergence of topological corner states. We construct topological corner states with the \(\mathbb {Z}_{3}\) clock-symmetric model. It is also shown that the model is realized in an electric circuit properly designed, where corner states are observed by impedance resonance. We also construct the \(\mathbb {Z}_{4}\) and \(\mathbb {Z}_{6}\) symmetric models on breathing square and honeycomb lattices, respectively.

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Data Availability

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request. This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All numerical results have been presented as graphical results in the text.]

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Acknowledgements

The author is very much grateful to Y. Tanaka and N. Nagaosa for helpful discussions on the subject. This work is supported by the Grants-in-Aid for Scientific Research from MEXT KAKENHI (Grants No. JP17K05490 and No. JP18H03676). This work is also supported by CREST, JST (JPMJCR16F1 and JPMJCR20T2).

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  1. Department of Applied Physics, University of Tokyo, 7-3-1, Hongo, 113-8656, Japan

    Motohiko Ezawa

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  1. Motohiko Ezawa
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Ezawa, M. Clock-symmetric non-Hermitian second-order topological insulator. Eur. Phys. J. B 95, 97 (2022). https://doi.org/10.1140/epjb/s10051-022-00364-3

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