High transmission in twisted bilayer graphene with angle disorder

TL;DR

This paper investigates how angle disorder affects electron transport in twisted bilayer graphene, finding that transmission remains high despite significant twist variations, indicating robust transport properties.

Contribution

It provides a detailed analysis showing that twist angle disorder minimally impacts electron transmission, highlighting the resilience of transport in twisted bilayer graphene.

Findings

Barriers with 50% band width difference cause minor transmission suppression

Transmission remains close to one for normal incidence, similar to Klein tunneling

Transport is weakly affected by twist angle disorder

Abstract

Angle disorder is an intrinsic feature of twisted bilayer graphene and other moir\'e materials. Here, we discuss electron transport in twisted bilayer graphene in the presence of angle disorder. We compute the local density of states and the Landauer-B\"uttiker transmission through an angle disorder barrier of width comparable to the moir\'e period, using a decimation technique based on a real space description. We find that barriers which separate regions where the width of the bands differ by 50% or more lead to a minor suppression of the transmission, and that the transmission is close to one for normal incidence, which is reminiscent of Klein tunneling. These results suggest that transport in twisted bilayer graphene is weakly affected by twist angle disorder.