Physics – Condensed Matter – Materials Science
Scientific paper
2007-12-17
Phil. Mag. B 88, 13 - 15 (2008) 2131 - 2144
Physics
Condensed Matter
Materials Science
11 pages, 5 figures
Scientific paper
10.1080/14786430801894544
The semi-classical Bloch-Boltzmann theory is at the heart of our understanding of conduction in solids, ranging from metals to semi-conductors. Physical systems that are beyond the range of applicability of this theory are thus of fundamental interest. It appears that in quasicrystals and related complex metallic alloys, a new type of break-down of this theory operates. This phenomenon is related to the specific propagation of electrons. We develop a theory of quantum transport that applies to a normal ballistic law but also to these specific diffusion laws. As we show phenomenological models based on this theory describe correctly the anomalous conductivity in quasicrystals. Ab-initio calculations performed on approximants confirm also the validity of this anomalous quantum diffusion scheme. This provides us with an ab-initio model of transport in approximants such as alpha-AlMnSi and AlCuFe 1/1 cubic approximant.
de Laissardiere Guy Trambly
Julien Jean-Pierre
Mayou Didier
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