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arXiv · 2405.03571

Josephson junction of minimally twisted bilayer graphene

Ritajit Kundu·Arijit Kundu
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Abstract

We theoretically investigate the transport properties of Josephson junctions composed of superconductor/minimally twisted bilayer graphene/superconductor structures. In the presence of an out-of-plane electric field, the low energy physics is best described by a network of chiral domain-wall states. Depending on system parameters, they lead to the emergence of zig-zag or pseudo-Landau level modes with distinct transport characteristics. Specifically, we find zig-zag modes feature linear dispersion of Andreev bound states, resulting in a $4\pi$-periodic Josephson current. In contrast, pseudo-Landau level modes exhibit flat Andreev bound states and, consequently, a vanishing bulk Josephson current. Interestingly, edge states can give rise to $4\pi$-periodic Josephson response in the pseudo-Landau level regime. We also discuss experimental signatures of such responses.

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Ritajit Kundu, Arijit Kundu. 2024-05-06. Josephson junction of minimally twisted bilayer graphene. https://doi.org/10.1103/physrevb.110.085422

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