Cooper-pair propagation and superconducting correlations in graphene

Details Cooper-pair propagation and superconducting correlations in graphene Cooper-pair propagation and superconducting correlations in graphene

2007-05-09

arxiv.org/abs/0705.1327v2

Phys. Rev. B 76, 155404 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 2 figures; corrected discussion

Scientific paper

10.1103/PhysRevB.76.155404

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.

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