Topological parafermion corner states in clock-symmetric non-Hermitian second-order topological insulator

Motohiko Ezawa

doi:10.1140/epjb/s10051-022-00364-3

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arXiv · 2103.10645

Topological parafermion corner states in clock-symmetric non-Hermitian second-order topological insulator

Motohiko Ezawa

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Abstract

Parafermions are a natural generalization of Majorana fermions. 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 demonstrate that the topological corner states are parafermions in the present $\mathbb{Z}_{3}$ clock-symmetric model. It is also shown that the model is realized in electric circuits properly designed, where the parafermion corner states are observed by impedance resonance. We also construct $\mathbb{Z}_{4}$ and $\mathbb{Z}_{6}$ parafermions on breathing square and honeycomb lattices, respectively.

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Motohiko Ezawa. 2021-03-19. Topological parafermion corner states in clock-symmetric non-Hermitian second-order topological insulator. https://doi.org/10.1140/epjb/s10051-022-00364-3

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