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

verfasst von: 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.
Externe Organisation(en): Technische Universität Braunschweig
University of Luxembourg
Typ: Artikel
Journal: Physical Review B
Band: 104
ISSN: 2469-9969
Publikationsdatum: 08.11.2021
Publikationsstatus: Veröffentlicht
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Elektronische, optische und magnetische Materialien, Physik der kondensierten Materie
Elektronische Version(en): http://arxiv.org/abs/2107.04812v1 (Zugang: Offen)
https://doi.org/10.1103/PhysRevB.104.195410 (Zugang: Offen)

BibTeX

@article{df96f9be3d6e4ba5b8c8b6cb0ea44eb7,
title = "Network model and four-terminal transport in minimally twisted bilayer graphene",
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. ",
keywords = "cond-mat.mes-hall",
author = "Beule, {Christophe De} and Fernando Dominguez and Patrik Recher",
note = "Publisher Copyright: {\textcopyright} 2021 American Physical Society.",
year = "2021",
month = nov,
day = "8",
doi = "10.1103/PhysRevB.104.195410",
language = "English",
volume = "104",
journal = "Physical Review B",
issn = "2469-9969",
publisher = "American Institute of Physics",
number = "19",
}