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Clock-symmetric non-Hermitian second-order topological insulator

Motohiko Ezawa ()
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Motohiko Ezawa: University of Tokyo

The European Physical Journal B: Condensed Matter and Complex Systems, 2022, vol. 95, issue 6, 1-10

Abstract: Abstract We consider a breathing Kagome lattice with complex hoppings by imposing $$ \mathbb {Z}_{3}$$ 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 $$\mathbb {Z}_{3}$$ 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 $$\mathbb {Z}_{4}$$ Z 4 and $$\mathbb {Z}_{6}$$ Z 6 symmetric models on breathing square and honeycomb lattices, respectively. Graphic abstract

Date: 2022
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DOI: 10.1140/epjb/s10051-022-00364-3

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