Josephson Current through a Planar Junction of Graphene

Details Josephson Current through a Planar Junction of Graphene Josephson Current through a Planar Junction of Graphene

2011-05-13

arxiv.org/abs/1105.2600v1

J. Phys. Soc. Jpn. 80 (2011) 043702

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 2 figures

Scientific paper

Josephson effect in a planar graphene junction is studied by assuming that the coupling of a graphene sheet and two superconductors deposited on its top is described by a tunneling Hamiltonian. This model properly takes account of the proximity effect characteristic to a planar junction, and allows us to treat monolayer and bilayer cases in a parallel manner. Applying a quasiclassical Green's function approach to it we analyze the Josephson critical current $I_{\rm c}$ in a short-junction limit. As a characteristic feature of the planar junction we find that $I_{\rm c}$ is a concave function of temperature at the strong coupling limit while it crosses over to a convex function with decreasing the coupling strength. We also find different chemical-potential dependences of $I_{\rm c}$ in the monolayer and bilayer cases.

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