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.
@article{arxiv.2005.01960,
title = {Unified Formula for Stationary Josephson Current in Planar Graphene Junctions},
author = {Yositake Takane},
journal= {arXiv preprint arXiv:2005.01960},
year = {2020}
}