We study Josephson effect in graphene superconductor- barrier- superconductor junctions with short and wide barriers of thickness d and width L, which can be created by applying a gate voltage V0 across the barrier region. We show that Josephson current in such graphene junctions, in complete contrast to their conventional counterparts, is an oscillatory function of both the barrier width d and the applied gate voltage V0. We also demonstrate that in the thin barrier limit, where V0→∞ and d→0 keeping V0d finite, such an oscillatory behavior can be understood in terms of transmission resonance of Dirac-Bogoliubov-de Gennes quasiparticles in superconducting graphene. We discuss experimental relevance of our work.
@article{arxiv.cond-mat/0611614,
title = {Josephson effect in graphene SBS junctions},
author = {Moitri Maiti and K. Sengupta},
journal= {arXiv preprint arXiv:cond-mat/0611614},
year = {2007}
}