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 V0β 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 V0β. We also demonstrate that in the
thin barrier limit, where V0βββ and dβ0 keeping V0βd
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.Comment: 7 Pg., 6 Figs, extended version submitted to PR