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Evidence for chiral supercurrent in quantum Hall Josephson junctions.

Hadrien VignaudDavid PerconteWenmin YangBilal KousarEdouard WagnerFrédéric GayKenji WatanabeTakashi TaniguchiHervé CourtoisZheng Vitto HanHermann SellierBenjamin Sacépé
Published in: Nature (2023)
Hybridizing superconductivity with the quantum Hall (QH) effect has notable potential for designing circuits capable of inducing and manipulating non-Abelian states for topological quantum computation 1-3 . However, despite recent experimental progress towards this hybridization 4-15 , concrete evidence for a chiral QH Josephson junction 16 -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 2ϕ 0 magnetic flux periodicity 16-19 (ϕ 0  = h/2e is the superconducting flux quantum, where h is the Planck constant and e is the electron charge). Here we show that ultra-narrow Josephson junctions defined in encapsulated graphene nanoribbons exhibit a chiral supercurrent, visible up to 8 T and carried by the spin-degenerate edge channel of the QH plateau of resistance h/2e 2  ≈ 12.9 kΩ. We observe reproducible 2ϕ 0 -periodic oscillations of the supercurrent, which emerge at a 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 crucial in obtaining a measurable supercurrent on QH plateaus, in agreement with theories predicting dephasing along the superconducting interface 19-22 . Our findings are important for the exploration of correlated and fractional QH-based superconducting devices that host non-Abelian Majorana and parafermion zero modes 23-32 .
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