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SKM 2021 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 19: Transport (joint session TT/DY)

DY 19.2: Talk

Friday, October 1, 2021, 13:45–14:00, H6

Aharonov-Bohm Oscillations in Minimally Twisted Bilayer Graphene — •Christophe De Beule1, Fernando Dominguez2, and Patrik Recher2,31Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg, Luxembourg — 2Institute for Mathematical Physics, TU Braunschweig, 38106 Braunschweig, Germany — 3Laboratory for Emerging Nanometrology, 38106 Braunschweig, Germany

We investigate transport in the network of valley Hall states that emerges in minimally twisted bilayer graphene under interlayer bias. To this aim, we construct a scattering theory that captures the network physics. In the absence of forward scattering, symmetries constrain the network model to a single parameter that interpolates between one-dimensional chiral zigzag modes and pseudo-Landau levels. Moreover, we show how the coupling of zigzag modes affects magnetotransport. In particular, we find that scattering between parallel zigzag channels gives rise to Aharonov-Bohm oscillations that are robust against temperature, while coupling between zigzag modes propagating in different directions leads to Shubnikov-de Haas oscillations that are smeared out at finite temperature.

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