Conductance Peak Density in Disordered Graphene Topological Insulators

TL;DR

This paper studies the universal conductance fluctuations in disordered graphene nanowires, revealing signatures of chirality that distinguish topological insulators from ordinary systems, supported by theoretical models and experimental data.

Contribution

It introduces a comprehensive analysis of conductance peak density in graphene topological insulators, highlighting universal properties and signatures of sublattice symmetry.

Findings

Universal conductance fluctuations demonstrate chirality signatures.

Distinguishing features of topological insulators are identified.

Theoretical predictions align with experimental quantum magnetotransport data.

Abstract

We investigate the universal properties of quantum transport in graphene nanowires that engender subtle universal conductance fluctuations. We present results for three of the main microscopic models that describe the sublattice of graphene and generate, as we shall show, all the chiral universal symmetries. The results are robust and demonstrate the widely sought sign of chirality even in the regime of many open channels. The fingerprints paves the way to distinguish systems with sublattice symmetry such as topological insulators from ordinary ones by an order of magnitude. The experimental realization requires a single measurement of the chaotic fluctuations of the associated valleytronics conductante. Through the phase coherence length, our theoretical predictions are confirmed with the data from traditional measurements in the literature concerning quantum magnetotransport.