Unpaired Dirac cones are bandstructures with two bands crossing at a single point in the Brillouin zone. It is known that photonic bandstructures can exhibit pairs of Dirac cones, similar to graphene; unpaired cones, however, have not observed in photonics, and have been observed in condensed-matter systems only among topological insulator surface states. We show that unpaired Dirac cones occur in a 2D photonic lattice that is not the surface of a 3D system. These modes have unusual properties, including conical diffraction and antilocalization immune to short-range disorder, due to the absence of "intervalley" scattering between Dirac cones.
Yidong Chong, Daniel Leykam, and Mikael C. Rechtsman, "Unpaired Dirac cones in photonic lattices and networks
(Conference Presentation)," Proc. SPIE 9918, Metamaterials, Metadevices, and Metasystems 2016, 99181R (Presented at SPIE Nanoscience + Engineering: August 31, 2016; Published: 9 November 2016); https://doi.org/10.1117/12.2238598.5159519561001.
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