Kim, PhilipShi, Jing Kathleen2020-10-162020-052020-05-152020Shi, Jing Kathleen. 2020. Quantum Hall Effect-Mediated Josephson Junctions in Graphene. Doctoral dissertation, Harvard University, Graduate School of Arts & Sciences.https://nrs.harvard.edu/URN-3:HUL.INSTREPOS:37365807Evidence supporting the existence of Majorana bound states has been observed in systems such as superconducting proximitized semiconducting nanowires, atomic chains and topological insulators. This dissertation explores the possibility of engineering these states in graphene quantum Hall states hybridized with superconducting niobium nitride (NbN) one-dimensional wires. Stepwise modulations of the critical current of graphene Josephson junctions in the quantum Hall regime were observed, with the origin being attributed to the change in the number of underlying quantum Hall edge states in graphene. This is the first observation of the superconducting coupling between a superconductor and quantum Hall edge states showing up as changes in the critical current of a Josephson junction. Further theoretical calculations corroborated the conjecture that topological gaps would open up in quantum Hall-superconductor systems, allowing for the generation of not only Majorana bound states, but a myriad of topological states that are inaccessible in other systems mentioned above.application/pdfentopological superconductivity2D materials2D heterostructuresgraphenequantum Hallgraphene-heterostructuresJosephson junctioninduced superconductivity in quantum Hall statesMajorana fermionsmesoscopic physicsexperimental condensed matter physicslow temperature transport measurementtopological quantum computingQuantum Hall Effect-Mediated Josephson Junctions in GrapheneThesis or Dissertation2020-10-160000-0002-2277-7684