Aharonov-Bohm Oscillations in Minimally Twisted Bilayer Graphene

Abstract

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.

5 + 9 pages, 5 + 8 figures. arXiv admin note: text overlap with arXiv:2003.08987

References in corpus (6)

• Flat Bands in Slightly Twisted Bilayer Graphene
• Lattice relaxation and energy band modulation in twisted bilayer graphenes
• Topological confinement in bilayer graphene
• Photonic crystals for nano-light in moiré graphene superlattices
• Full electrical control of Charge and Spin conductance through Interferometry of Edge States in Topological Insulators
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Cited by in corpus (5)

• Spin magnetometry as a probe of stripe superconductivity in twisted bilayer graphene
• Topological phases of an interacting Majorana Benalcazar-Bernevig-Hughes model
• Characteristic nanoscale deformations on large area coherent graphite moiré
• Direct observation of magneto-electric Aharonov-Bohm effect in moiré-scale quantum paths of minimally twisted bilayer graphene
• Network model and four-terminal transport in minimally twisted bilayer graphene