Electronic transport properties of quasicrystals: a Review

TL;DR

This review summarizes the current understanding of electronic transport in quasicrystals, discussing experimental findings, theoretical models, and numerical methods including conductivity calculations under various conditions.

Contribution

It provides a comprehensive overview of transport mechanisms in quasicrystals, integrating experimental data, heuristic approaches, and numerical evaluations of conductivity.

Findings

Electrical conductivity varies with temperature, magnetic field, and defects.

Heuristic models help unify different transport mechanisms.

Numerical evaluations of the Kubo-Greenwood formula are presented.

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.