Electronic structure, density of states and properties of quasicrystals

One of the recent important developments in solid state physics in the last 15 years is certainly the discovery of quasicrystals. Quasicrystal is the new thermodynamically stable state, in which the atomic arrangement is neither periodic nor random. Not only the structural arrangement, but also the electronic structures and properties are quite exotic. Several quasicrystals show an electric conductivity smaller than Mott’s minimum metallic conductivity and the temperature coefficient of conductivity is large and negative. Lots of new information is still being collated.