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arXiv · 2310.18269

Nodal phases in non-Hermitian wallpaper crystals

J. Lukas K. König·Felix Herber·Emil J. Bergholtz
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Abstract

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.

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J. Lukas K. König, Felix Herber, Emil J. Bergholtz. 2023-10-27. Nodal phases in non-Hermitian wallpaper crystals. https://doi.org/10.1063/5.0185359

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