Unified Formula for Stationary Josephson Current in Planar Graphene Junctions
arXiv:2005.01960 · doi:10.7566/JPSJ.89.094702
Abstract
The stationary Josephson current in a ballistic graphene system is theoretically studied with focus on a planar junction consisting of a monolayer graphene sheet on top of which a pair of superconducting electrodes is deposited. To characterize such a planar junction, we employ two parameters: the coupling strength between the graphene sheet and the superconducting electrodes, and a potential drop induced in the graphene sheet by direct contact with the electrodes. We derive a general formula for the Josephson current by taking these parameters into account in addition to other basic parameters, such as temperature and chemical potential. The resulting formula applies to a wide range of parameters and reproduces previously reported results in certain limits.
arXiv comment7 pages, 4 figures
References in corpus (25)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Andreev reflection and Klein tunneling in graphene
- Bipolar supercurrent in graphene
- Josephson effect in ballistic graphene
- Josephson Current and Multiple Andreev Reflections in Graphene SNS Junctions
- Ballistic Josephson junctions in edge-contacted graphene
- Quantum oscillations of the critical current and high-field superconducting proximity in ballistic graphene
- Tuning the proximity effect in a superconductor-graphene-superconductor junction
- Ballistic graphene Josephson junctions from the short to the long regime
- Superconducting proximity effect through graphene from zero field to the Quantum Hall regime
- Current-phase relation of ballistic graphene Josephson junctions
- Self-consistent solution for proximity effect and Josephson current in ballistic graphene SNS Josephson junctions
- Observation of Supercurrent in PbIn-Graphene-PbIn Josephson Junction
- Proximity coupling in superconductor-graphene heterostructures
- Josephson effect in mesoscopic graphene strips with finite width
- Critical Josephson current in ballistic superconductor-graphene systems
- Short Ballistic Josephson Coupling in Planar Graphene Junctions with Inhomogeneous Carrier Doping
- Cooper-pair propagation and superconducting correlations in graphene
- Tunable Supercurrent at the Charge Neutrality Point via Strained Graphene Junctions
- 1/f critical current noise in short ballistic graphene Josephson junctions
- Magnetic field oscillations of the critical current in long ballistic graphene Josephson junctions
- Quasiclassical Theory of the Josephson Effect in Ballistic Graphene Junctions
- Josephson Current through a Planar Junction of Graphene
- Superconducting proximity effect on a two-dimensional Dirac electron system