Pseudopotentials and quasicrystals

Abstract

By pseudopotential methods the electronic properties of quasicrystalline metal are examined from the nearly-free-electron viewpoint. The procedure results in the appearance of band gaps associated with each quasicrystal reciprocal-lattice vector, and these lead to singularities in both the density of states and the joint optical density of states. If observable by reflectivity, soft x-ray emission, or tunneling measurements, these quantities will give information on several properties of the quasicrystalline state.