Trigonal distortion of topologically confined channels in bilayer Graphene

TL;DR

This paper investigates how trigonal warping in bilayer graphene affects topologically confined 1D channels, revealing modifications to their behavior due to anisotropic band distortions.

Contribution

It demonstrates the impact of trigonal warping on topologically protected states in bilayer graphene, highlighting deviations from isotropic models.

Findings

Trigonal warping significantly alters 1D channel behavior.

Topologically protected states are present but behave differently.

Channel orientation influences electronic properties.

Abstract

In this work we show that the trigonal warping of the electronic bands in bilayer graphene dramatically modifies the behavior of the one-dimensional modes topologically confined due to an inhomogeneous bias that changes sign across a channel. The topologically protected states are present but their behavior is disrupted from the predicted in the isotropic approximation. We present detailed studies of the electronic properties of the 1D channel in function of the orientation of the channel.