Topological transitions in photonic hypercrystals

Photonic hypercrystals represent a new class of artificial optical composites, that has the properties of both the metamaterials and the photonic crystals, as well as some new features not found in these media. In particular, the hypercrystals support an even number of Dirac dispersion cones that originate from the Motti topological transition. The resulting singularity in the photonic density of states has a strong effect on the emissivity of the hypercrystal.