Electronic transport properties of quasicrystals: a Review

Abstract

We present a review of some results concerning electronic transport properties of quasicrystals. After a short introduction to the basic concepts of quasiperiodicity, we consider the experimental transport properties of electrical conductivity with particular focus on the effect of temperature, magnetic field and defects. Then, we present some heuristic approaches that tend to give a coherent view of different, and to some extent complementary, transport mechanisms in quasicrystals. Numerical results are also presented and in particular the evaluation of the linear response Kubo-Greenwood formula of conductivity in quasiperiodic systems in presence of disorder.

Latex, 28 pages, Journ. of Math. Phys., Vol38 April 1997

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• Electronic states of a disordered 2D quasiperiodic tiling: from critical states to Anderson localization
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• Electronic properties of ternary quasicrystals in one dimension
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• A remark on the trace-map for the Silver mean sequence
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• Proximity Effects Between the Graphene Quasicrystal and Magic-Angle Twisted Bilayer Graphene