AlMn（Si）和AlCuFe准晶中的电子输运：半经典模型的突破
Electronic transport in AlMn(Si) and AlCuFe quasicrystals: Break-down of the semiclassical model
摘要：
半经典的布洛赫-玻尔兹曼理论是我们理解固体传导的核心，从金属到半导体。因此，超出这一理论适用范围的物理系统具有根本的意义。看来在准晶和相关的复杂金属合金中，这一理论的一种新类型的崩溃正在起作用。这种现象与电子的特定传播有关。我们开发了一个量子传输理论，适用于正常的弹道定律，但也适用于这些特定的扩散定律。正如我们所展示的，基于这一理论的唯象模型正确地描述了准晶中的反常导电性。近似的从头计算也证实了这种反常的量子扩散方案的有效性。这为我们提供了一个从头算模型的运输近似，如α-AlMnSi和AlCuFe 1/1立方近似。
英文摘要：
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.
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