Nodal phases in non-Hermitian wallpaper crystals
arXiv:2310.18269 · doi:10.1063/5.0185359
Abstract
Symmetry and non-Hermiticity play pivotal roles in photonic lattices. While symmetries such as parity-time () 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 or , 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.
arXiv comment6 pages, 2 figures
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