Critical Josephson current in ballistic superconductor-graphene systems
arXiv:1006.3228 · doi:10.1103/PhysRevB.82.134516
Abstract
We calculate the phase, the temperature and the junction length dependence of the supercurrent for ballistic graphene Josephson-junctions. For low temperatures we find non-sinusoidal dependence of the supercurrent on the superconductor phase difference for both short and long junctions. The skewness, which characterizes the deviation of the current-phase relation from a simple sinusoidal one, shows a linear dependence on the critical current for small currents. We discuss the similarities and differences with respect to the classical theory of Josephson junctions, where the weak link is formed by a diffusive or ballistic metal. The relation to other recent theoretical results on graphene Josephson junctions is pointed out and the possible experimental relevance of our work is considered as well.
6 pages, 4 figures
References in corpus (23)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Andreev reflection and Klein tunneling in graphene
- Bipolar supercurrent in graphene
- Quantum-limited shot noise in graphene
- Specular Andreev reflection in graphene
- Phase Coherent Transport of Charges in Graphene Quantum Billiard
- Josephson effect in ballistic graphene
- Josephson Current and Multiple Andreev Reflections in Graphene SNS Junctions
- Tunneling conductance of graphene NIS junctions
- Crossed Andreev reflection in a graphene bipolar transistor
- Tunneling conductance in - and d-wave superconductor-graphene junctions: Extended Blonder-Tinkham-Klapwijk formalism
- Proximity Induced Superconductivity and Multiple Andreev Reflections in Few-Layer-Graphene
- Dirac-fermions and conductance-oscillations in (s,d)-wave superconductor/normal graphene junctions
- Excitation gap of a graphene channel with superconducting boundaries
- Andreev reflection in graphene nanoribbons
- Josephson effect in graphene SBS junctions
- Microscopic theory of the proximity effect in superconductor-graphene nanostructures
- Subharmonic gap structure in short ballistic graphene junctions
- Long range Josephson coupling through ferromagnetic graphene
- Cooper-pair propagation and superconducting correlations in graphene
- Critical currents in graphene Josephson junctions
- Graphene based superconducting quantum point contacts