Network model and four-terminal transport in minimally twisted bilayer graphene

authored by

Christophe De Beule, Fernando Dominguez, Patrik Recher

Abstract

We construct a two-channel scattering model for the triangular network of valley Hall states in interlayer-biased minimally twisted bilayer graphene from symmetry arguments and investigate electronic transport in a four-terminal setup. When the network hosts chiral zigzag modes, Aharonov-Bohm resonances appear in the longitudinal conductance in the presence of a perpendicular magnetic field or an in-plane electric field. Interestingly, we find that when both a magnetic field and an in-plane electric field are applied, resonances of different zigzag branches are split, which is sensitive to the direction of the electric field. We further demonstrate that while the Hall response vanishes in the chiral zigzag regime, a finite Hall response is obtained without destroying the Aharonov-Bohm resonances in the longitudinal response, by weakly coupling different zigzag branches, which also gives rise to Hofstadter physics at realistic magnetic fields.

External Organisation(s)

Technische Universität Braunschweig
University of Luxembourg

Type

Preprint

Publication date

10.07.2021

Publication status

E-pub ahead of print

Electronic version(s)

http://arxiv.org/abs/2107.04812v1 (Access: Open)