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    Layer-resolved quantum transport in twisted bilayer graphene: Counterflow and machine learning predictions

    Matheus H. Gobbo Kuhn1, L. A. Silva2, and D. A. Bahamon1,3,*

    • *Contact author: dario.bahamon@mackenzie.br

    Phys. Rev. B 111, 235425 – Published 12 June, 2025

    DOI: https://doi.org/10.1103/d98y-sv8j

    Abstract

    The layer-resolved quantum transport response of a twisted bilayer graphene device is investigated by driving a current through the bottom layer and measuring the induced voltage in the top layer. Devices with four- and eight-layer differentiated contacts are analyzed, revealing that in a nanoribbon geometry (four contacts), a longitudinal counterflow current emerges in the top layer, while in a square-junction configuration (eight contacts), this counterflow is accompanied by a transverse, or Hall, component. These effects persist despite weak coupling to contacts, on-site disorder, lattice relaxation, and variations in device size. The observed counterflow response indicates a circulating interlayer current, which generates an in-plane magnetic moment excited by the injected current. Finally, due to the intricate relationship between the electrical layer response, energy, and twist angle, a clusterized machine learning model is trained, validated, and tested to predict various conductances.

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