Fermi surfaces and anomalous transport in quasicrystals

Electronic transport properties of quasicrystals are discussed theoretically. By means of ab initio linear muffin tin orbitals calculations, electronic band structure and corresponding Fermi surfaces of several quasicrystalline approximants are obtained. A criterion for distinguishing between metallic and anomalous transport properties in intermetallics is proposed. Unconventional temperature dependence of conductivity of quasicrystals and approximants is addressed in a second part. It is shown that power law exponents can be directly deduced from scaling analysis of the Kubo formula. Finally in relation to our results, we briefly summarize actual knowledge on low temperature transport regimes.