Conductivity in 3D quasiperiodic systems

TL;DR

This paper introduces a novel real-space method to evaluate electrical conductivity in 3D quasiperiodic systems, revealing that disorder can sometimes enhance conductivity near pseudo-gaps.

Contribution

A new real-space computational approach for conductivity in aperiodic systems, applied to 3D quasiperiodic structures, with analysis of disorder effects.

Findings

Conductivity can increase with disorder near pseudo-gaps.

Method effectively evaluates propagation modes in 3D quasiperiodic systems.

Disorder effects vary depending on Fermi energy location.

Abstract

We develop a new real-space method which allows to evaluate the Kubo-Greenwood conductivity of independent electrons in static aperiodic potentials. We apply it to a numerical study of propagation modes in 3 dimensional quasiperiodic systems. The effect of quenched disorder is analysed and for Fermi energies in pseudo-gaps, the conductivity can be stable or even increase with disorder.