1998/07/03 by S. Roche, Stephan Roche, Takeo Fujiwara +1 · 56 citations
Earth and Planetary Sciences · Materials Science · Mathematics · Physics and Astronomy · #Ab initio #Condensed matter physics #Conductivity #Electrical resistivity and conductivity #Electron #Fermi Gamma-ray Space Telescope #Fermi level #Fermi surface #Geometry #Materials science #Mathematics #Mineralogy and Gemology Studies #Physics #Power law #Quantum mechanics #Quasicrystal #Quasicrystal Structures and Properties #Scaling #Scaling law #Statistical physics #Superconductivity #X-ray Diffraction in Crystallography #cond-mat.dis-nn #cond-mat.mtrl-sci
paper · pdf · doi:10.1103/physrevb.58.11338
published in Physical review. B, Condensed matter 58(17), 11338-11344 (American Physical Society) · 8 pages, 7 figures. to appear in Phys. Rev. B
arxiv created 1998/07/03 · openalex publication_date 1998/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.