Mixed higher-order topology: boundary non-Hermitian skin effect induced by a Floquet bulk
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866912044096159744 |
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| author | Liu, Hui Fulga, Ion Cosma |
| author_facet | Liu, Hui Fulga, Ion Cosma |
| contents | We show that anomalous Floquet topological insulators generate intrinsic, non-Hermitian topology on their boundary. As a consequence, removing a boundary hopping from the time-evolution operator stops the propagation of chiral edge modes, leading to a non-Hermitian skin effect. This does not occur in Floquet Chern insulators, however, in which boundary modes continue propagating. The non-Hermitian skin effect on the boundary is a consequence of the nontrivial topology of the bulk Floquet operator, which we show by designing a real-space topological invariant. Our work introduces a form of `mixed' higher-order topology, providing a bridge between research on periodically-driven systems and the study of non-Hermiticity. It suggests that periodic driving, which has already been demonstrated in a wide range of experiments, may be used to generate non-Hermitian skin effects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_03097 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Mixed higher-order topology: boundary non-Hermitian skin effect induced by a Floquet bulk Liu, Hui Fulga, Ion Cosma Mesoscale and Nanoscale Physics We show that anomalous Floquet topological insulators generate intrinsic, non-Hermitian topology on their boundary. As a consequence, removing a boundary hopping from the time-evolution operator stops the propagation of chiral edge modes, leading to a non-Hermitian skin effect. This does not occur in Floquet Chern insulators, however, in which boundary modes continue propagating. The non-Hermitian skin effect on the boundary is a consequence of the nontrivial topology of the bulk Floquet operator, which we show by designing a real-space topological invariant. Our work introduces a form of `mixed' higher-order topology, providing a bridge between research on periodically-driven systems and the study of non-Hermiticity. It suggests that periodic driving, which has already been demonstrated in a wide range of experiments, may be used to generate non-Hermitian skin effects. |
| title | Mixed higher-order topology: boundary non-Hermitian skin effect induced by a Floquet bulk |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2210.03097 |