Josephson super-current in graphene-superconductor junction
Abstract
Within the tunneling Hamiltonian formulation for the eight-component spinors,the Josephson critical super-current has been calculated in a planar superconductor-normal graphene-superconductor junction. Coupling between superconductor regions and graphene is taken into account by a tunneling Hamiltonian which contains two types of tunneling, intra-valley and inter-valley tunneling. Within the present tunneling approach, we find that the contributions of two kinds of tunneling to the critical super-current, are completely separable. Therefore, it is possible to consider the effect of the inter-valley tunnelings in the critical super-current. The incorporation of these type of processes into the tunneling Hamiltonian, exposes a special feature of the graphene Josephson junctions. The effect of inter-valley tunneling appears in the length dependence plot of critical current in the form of oscillations. We also present the results for temperature dependence of critical super-current and compare with experimental results and other theoretical calculations.
Keywords
Cite
@article{arxiv.1107.5680,
title = {Josephson super-current in graphene-superconductor junction},
author = {E. Sarvestani and S. A. Jafari},
journal= {arXiv preprint arXiv:1107.5680},
year = {2012}
}