Transport Mechanisms of Quantum Hall Supercurrents in Graphene Josephson Junctions

The existence of supercurrent in the quantum Hall regime with periodic magnetic interference patterns, first observed by Amet et al. in 2016, has created new opportunities to access topological superconductivity through quantum Hall edge states. However, a puzzle is found in the measured h/2e periodicity, as it violates the theoretical predicted h/e periodicity of the supercurrents carried by chiral quantum Hall edge states. Thus the observed supercurrents have not yet been robustly confirmed.

In this dissertation, we study the transport mechanisms of supercurrents in the quantum Hall regime in graphene Josephson junctions. First, a device with individually gated vacuum edges extended beyond the contacts is studied to determine whether the measured supercurrents are consistent with the theoretical prediction that both edges participate in transport. Next, a device with a third normal contact on one vacuum edge is used to study how supercurrents are influenced by an injected normal current. Finally, a device with a T-shaped asymmetric contact and a flat contact separated by a 90nm short channel is fabricated to examine the coupling of the chiral electron-hole hybrid modes. Despite that fact that theoretical explanation of the h/2e periodicity are still outstanding, these studies have extended our understanding of supercurrents in the quantum Hall regime. This may lay the foundation of realizing Majorana fermions and parafermions with symmetry-breaking edge states in quantum Hall/superconductor hybrid devices.