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Evidence for chiral supercurrent in quantum Hall Josephson junctions

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arxiv 2305.01766 v2 pith:MQZKUBPI submitted 2023-05-02 cond-mat.mes-hall cond-mat.supr-con

classification cond-mat.mes-hallcond-mat.supr-con
keywords supercurrentchiralquantumconstantedgejosephsonsuperconductingalong
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abstract

Hybridizing superconductivity with the quantum Hall (QH) effects has major potential for designing novel circuits capable of inducing and manipulating non-Abelian states for topological quantum computation. However, despite recent experimental progress towards this hybridization, concrete evidence for a chiral QH Josephson junction -- the elemental building block for coherent superconducting-QH circuits -- is still lacking. Its expected signature is an unusual chiral supercurrent flowing in QH edge channels, which oscillates with a specific $2\phi_0$ magnetic flux periodicity ($\phi_0=h/2e$ is the superconducting flux quantum, $h$ the Planck constant and $e$ the electron charge). Here, we show that ultra-narrow Josephson junctions defined in encapsulated graphene nanoribbons exhibit such a chiral supercurrent, visible up to 8 teslas, and carried by the spin-degenerate edge channel of the QH plateau of resistance $h/2e^2\simeq 12.9$ k$\Omega$. We observe reproducible $2\phi_0$-periodic oscillation of the supercurrent, which emerges at constant filling factor when the area of the loop formed by the QH edge channel is constant, within a magnetic-length correction that we resolve in the data. Furthermore, by varying the junction geometry, we show that reducing the superconductor/normal interface length is pivotal to obtain a measurable supercurrent on QH plateaus, in agreement with theories predicting dephasing along the superconducting interface. Our findings mark a critical milestone along the path to explore correlated and fractional QH-based superconducting devices that should host non-Abelian Majorana and parafermion zero modes.

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  1. Quantum Hall Andreev Conversion in Graphene Nanostructures

    cond-mat.mes-hall 2025-07 conditional novelty 6.0 of 10

    Chiral Andreev conversion at partially transparent graphene-superconductor interfaces is robust, not valley-degenerate, and can show interference oscillations from intervalley scattering at corners.

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