Non-Hermitian $\mathbb{Z}_4$ skin effect protected by glide symmetry
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910589904748544 |
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| author | Ishikawa, Sho Yoshida, Tsuneya |
| author_facet | Ishikawa, Sho Yoshida, Tsuneya |
| contents | Although nonsymmorphic symmetry protects $\mathbb{Z}_4$ topology for Hermitian systems, non-Hermitian topological phenomena induced by such a unique topological structure remain elusive. In this paper, we elucidate that systems with glide symmetry exhibit non-Hermitian skin effects (NHSE) characterized by $\mathbb{Z}_4$ topology. Specifically, numerically analyzing a two-dimensional toy model, we demonstrate that the $\mathbb{Z}_4$ topology induces the NHSE when the topological invariant takes $ν=1,2$. Furthermore, our numerical analysis demonstrates that the NHSE is destroyed by perturbations preserving the relevant symmetry when the $\mathbb{Z}_4$-invariant takes $ν=4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07136 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-Hermitian $\mathbb{Z}_4$ skin effect protected by glide symmetry Ishikawa, Sho Yoshida, Tsuneya Mesoscale and Nanoscale Physics Although nonsymmorphic symmetry protects $\mathbb{Z}_4$ topology for Hermitian systems, non-Hermitian topological phenomena induced by such a unique topological structure remain elusive. In this paper, we elucidate that systems with glide symmetry exhibit non-Hermitian skin effects (NHSE) characterized by $\mathbb{Z}_4$ topology. Specifically, numerically analyzing a two-dimensional toy model, we demonstrate that the $\mathbb{Z}_4$ topology induces the NHSE when the topological invariant takes $ν=1,2$. Furthermore, our numerical analysis demonstrates that the NHSE is destroyed by perturbations preserving the relevant symmetry when the $\mathbb{Z}_4$-invariant takes $ν=4$. |
| title | Non-Hermitian $\mathbb{Z}_4$ skin effect protected by glide symmetry |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2407.07136 |