Electronic transport in AlMnSi and AlCuFe quasicrystals: Break-down of the semiclassical modelReport as inadecuate




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1 LPTM - Laboratoire de Physique Théorique et Modélisation 2 TMC - Théorie de la Matière Condensée NEEL - Institut Néel 3 OPTIMA - Optique et Matériaux NEEL - Institut Néel

Abstract : 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.

Mots-clés : electronic transport properties quantum diffusion quasicrystals ab-initio calculations





Author: Guy Trambly de Laissardière - Jean-Pierre Julien - Didier Mayou -

Source: https://hal.archives-ouvertes.fr/



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