Quantum Hall Supercurrent in a locally gated Graphene Josephson Junction - Part 1: Induction of Local Filling Factors and Quantum Hall Supercurrent*

We present a study of a graphene-based Josephson junction with local gates modulating the carrier density along either edge of the junction in a wide range. In magnetic fields in the 1-2 Tesla range, we populate the next Landau level, resulting in Hall plateaus with conductance that differs from the bulk filling factor. We observe robust supercurrent when the gating introduces counter-propagating quantum Hall edge states along either edge of the junction.