Emergent quasiparticles in Euclidean tilings

F. Crasto de Lima and A. Fazzio A material’s geometric structure is a fundamental part of its properties. The honeycomb geometry of graphene is responsible for its Dirac cone, while kagome and Lieb lattices host flat bands and pseudospin-1 Dirac dispersion. These features seem to be particular to a few 2D systems rather than a…