Delocalization of relativistic Dirac particles in disordered one-dimensional systems and its implementation with cold atoms

TL;DR

This paper theoretically investigates the delocalization of relativistic Dirac particles in disordered one-dimensional systems and proposes a cold atom simulation scheme to observe this phenomenon.

Contribution

It reveals that massless Dirac particles are completely delocalized due to chiral symmetry and suggests a practical cold atom setup to demonstrate this effect.

Findings

Massless Dirac particles are fully delocalized regardless of energy.

Relativistic particles show less localization compared to non-relativistic ones.

A feasible cold atom experiment scheme is proposed to observe delocalization.

Abstract

We study theoretically the localization of relativistic particles in disordered one-dimensional chains. It is found that the relativistic particles tend to dislocation in comparison with the non-relativistic particles with the same disorder strength. More intriguingly, we reveal that the massless Dirac particles are entirely delocalized for any energy due to the inherent chiral symmetry, leading to a well-known result that particles are always localized in one-dimensional system for arbitrary weak disorders to break down. Furthermore, we propose a feasible scheme to simulate and detect the delocalization feature of the Dirac particles with cold atoms..