Nodal phases in non-Hermitian wallpaper crystals
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866910333435641856 |
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| author | König, J. Lukas K. Herber, Felix Bergholtz, Emil J. |
| author_facet | König, J. Lukas K. Herber, Felix Bergholtz, Emil J. |
| contents | Symmetry and non-Hermiticity play pivotal roles in photonic lattices. While symmetries such as parity-time ($\mathcal{PT}$) symmetry have attracted ample attention, more intricate crystalline symmetries have been neglected in comparison.
Here, we investigate the impact of the 17 wallpaper space groups of two-dimensional crystals on non-Hermitian band structures. We show that the non-trivial space group representations enforce degeneracies at high symmetry points and dictate their dispersion away from these points. In combination with either $\mathcal{T}$ or $\mathcal{PT}$, the symmorphic p4mm symmetry, as well as the non-symmorphic p2mg, p2gg, and p4gm symmetries, protect novel exceptional chains intersecting at the pertinent high symmetry points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_18269 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nodal phases in non-Hermitian wallpaper crystals König, J. Lukas K. Herber, Felix Bergholtz, Emil J. Mesoscale and Nanoscale Physics Optics Symmetry and non-Hermiticity play pivotal roles in photonic lattices. While symmetries such as parity-time ($\mathcal{PT}$) symmetry have attracted ample attention, more intricate crystalline symmetries have been neglected in comparison. Here, we investigate the impact of the 17 wallpaper space groups of two-dimensional crystals on non-Hermitian band structures. We show that the non-trivial space group representations enforce degeneracies at high symmetry points and dictate their dispersion away from these points. In combination with either $\mathcal{T}$ or $\mathcal{PT}$, the symmorphic p4mm symmetry, as well as the non-symmorphic p2mg, p2gg, and p4gm symmetries, protect novel exceptional chains intersecting at the pertinent high symmetry points. |
| title | Nodal phases in non-Hermitian wallpaper crystals |
| topic | Mesoscale and Nanoscale Physics Optics |
| url | https://arxiv.org/abs/2310.18269 |