Josephson Effect in Graphene-Based Junctions
R.J. Wojciechowski and L. Kowalewski
Solid State Theory Division, Faculty of Physics, Adam Mickiewicz University, Umultowska 85, 61-614 PoznaƄ, Poland
Full Text PDF
We study the Josephson effect in graphene based junctions where superconductivity in graphene is induced by the proximity effect from external substrate materials. The electronic properties of the junction is described by the Dirac-Bogoliubov-de-Gennes equations. We consider the junction consisting of two superconductors with different pairing potentials. Using appropriate boundary conditions imposed on the normal region-superconductors interfaces, we calculated the Andreev bound state energy, in the ballistic limit, taking into account two types of reflections namely the retro and specular Andreev reflections.

DOI: 10.12693/APhysPolA.133.632
PACS numbers: 74.45+c, 74,50+r, 72.80.Vp