Suppression of magnetotransport in strongly disordered graphene

TL;DR

This study investigates how strong disorder affects magnetotransport in graphene, revealing a suppression of magnetic field effects on conductivity, consistent with recent experiments.

Contribution

It introduces a strong-disorder expansion approach to analyze magnetotransport in disordered graphene, showing the magnetic field's diminished role under strong disorder.

Findings

Conductivity decreases with increasing disorder.

Magnetic field effects are suppressed in strong disorder regimes.

Results align with recent experimental observations.

Abstract

A tight-binding model with randomly fluctuating atomic positions is studied to discuss the effect of strong disorder in graphene. We employ a strong-disorder expansion for the transport quantities and find a diffusive behavior, where the conductivity is decreasing with increasing disorder. Surprisingly, the magnetic field drops out of the transport quantities in leading order of this expansion. This signals a strong suppression of magnetotransport effects for sufficiently strong disorder. This result is consistent with recent experimental observations by Morozov {\it et al.}