Conductivity in 3D quasiperiodic systems

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.

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