Aharonov-Bohm Oscillations in Minimally Twisted Bilayer Graphene
arXiv:2005.05352 · doi:10.1103/PhysRevLett.125.096402
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
- Dephasing of spin and charge interference in helical Luttinger liquids
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