Cooper-pair propagation and superconducting correlations in graphene
arXiv:0705.1327 · doi:10.1103/PhysRevB.76.155404
Abstract
We investigate the Cooper-pair propagation and the proximity effect in graphene under conditions in which the distance L between superconducting electrodes is much larger than the width W of the contacts. In the case of undoped graphene, supercurrents may exist with a spatial decay proportional to W^2/L^3. This changes upon doping into a 1/L^2 behavior, opening the possibility to observe a supercurrent over length scales above 1 micron at suitable doping levels. We also show that there is in general a crossover temperature T ~ v_F/k_B L that marks the onset of the strong decay of the supercurrent, and that corresponds to the scale below which the Cooper pairs are not disrupted by thermal effects during their propagation.
5 pages, 2 figures; corrected discussion
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Cited by in corpus (13)
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- Critical Josephson current in ballistic superconductor-graphene systems
- Critical currents in graphene Josephson junctions
- Dissipation-driven quantum phase transition in superconductor-graphene systems
- Magnetic field oscillations of the critical current in long ballistic graphene Josephson junctions
- Quasiclassical Theory of the Josephson Effect in Ballistic Graphene Junctions
- Josephson Current through a Planar Junction of Graphene
- Josephson super-current in graphene-superconductor junction
- New supercurrent pattern in quantum point contact with strained graphene nanoribbon
- Josephson coupling between superconducting islands on single and bilayer graphene
- Unified Formula for Stationary Josephson Current in Planar Graphene Junctions