Quantum Hall Supercurrent in a locally gated Graphene Josephson Junction - Part 2: Evolution of Interference patterns with Carrier Density and Field*

We explore supercurrent induced along individual edges in a locally gated graphene-based Josephson junction in the quantum Hall regime. When supercurrents are present along both sides of the junction, they produce interference pattern as a function of magnetic field, bulk and edge carrier densities. This behavior allows us to infer information about the position of the edge states. We present electrostatic models relating the evolution of the interference patterns to the physical location of quantum Hall edge states in the device.