Electronic transport in AlMn(Si) and AlCuFe quasicrystals: Break-down of the semiclassical model

dc.creatorde Laissardière, G. Trambly
dc.creatorJulien, J. P.
dc.creatorMayou, D.
dc.date2007-12-17
dc.date2008-01-15
dc.date.accessioned2026-07-07T13:01:49Z
dc.date.available2026-07-07T13:01:49Z
dc.descriptionThe 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.
dc.description11 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0712.2683
dc.identifierhttp://arxiv.org/abs/0712.2683
dc.identifierPhil. Mag. B 88, 13 - 15 (2008) 2131 - 2144
dc.identifierdoi:10.1080/14786430801894544
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226275
dc.subjectMaterials Science
dc.titleElectronic transport in AlMn(Si) and AlCuFe quasicrystals: Break-down of the semiclassical model
dc.typetext

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