Physics – Condensed Matter – Superconductivity
Scientific paper
2008-03-25
Phys. Rev. B 78, 024504 (2008)
Physics
Condensed Matter
Superconductivity
8 pages, 6 figures
Scientific paper
10.1103/PhysRevB.78.024504
We use a tight-binding Bogoliubov-de Gennes (BdG) formalism to self-consistently calculate the proximity effect, Josephson current, and local density of states in ballistic graphene SNS Josephson junctions. Both short and long junctions, with respect to the superconducting coherence length, are considered, as well as different doping levels of the graphene. We show that self-consistency does not notably change the current-phase relationship derived earlier for short junctions using the non-selfconsistent Dirac-BdG formalism but predict a significantly increased critical current with a stronger junction length dependence. In addition, we show that in junctions with no Fermi level mismatch between the N and S regions superconductivity persists even in the longest junctions we can investigate, indicating a diverging Ginzburg-Landau superconducting coherence length in the normal region.
Black-Schaffer Annica M.
Doniach Sebastian
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