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

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Christophe De Beule
  • Fernando Dominguez
  • Patrik Recher

External Research Organisations

  • Technische Universität Braunschweig
  • University of Luxembourg
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Details

Original languageEnglish
Article number195410
JournalPhysical Review B
Volume104
Issue number19
Publication statusPublished - 8 Nov 2021
Externally publishedYes

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

ASJC Scopus subject areas

Cite this

Network model and four-terminal transport in minimally twisted bilayer graphene. / Beule, Christophe De; Dominguez, Fernando; Recher, Patrik.
In: Physical Review B, Vol. 104, No. 19, 195410, 08.11.2021.

Research output: Contribution to journalArticleResearchpeer review

Beule CD, Dominguez F, Recher P. Network model and four-terminal transport in minimally twisted bilayer graphene. Physical Review B. 2021 Nov 8;104(19):195410. doi: 10.1103/PhysRevB.104.195410
Beule, Christophe De ; Dominguez, Fernando ; Recher, Patrik. / Network model and four-terminal transport in minimally twisted bilayer graphene. In: Physical Review B. 2021 ; Vol. 104, No. 19.
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