Cooper-pair propagation and superconducting correlations in graphene

J. González and E. Perfetto
Phys. Rev. B 76, 155404 – Published 3 October 2007

Abstract

We investigate the Cooper-pair propagation and the Josephson 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, we show that supercurrents may exist with a spatial decay proportional to W2L3, reminiscent of the behavior of the critical current in disordered normal metals. We observe that there is in general a crossover temperature T*vFkBL that marks the onset of the strong decay of the supercurrent and that corresponds to the scale above which the Cooper pairs are disrupted by thermal effects during their propagation. We also show that the spatial decay of the critical current changes upon doping into a 1L2 behavior, opening the possibility to observe a supercurrent over length scales above 1μm at suitable doping levels.

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  • Received 25 May 2007

DOI:https://doi.org/10.1103/PhysRevB.76.155404

©2007 American Physical Society

Authors & Affiliations

J. González1 and E. Perfetto2

  • 1Instituto de Estructura de la Materia, Consejo Superior de Investigaciones Científicas, Serrano 123, 28006 Madrid, Spain
  • 2Consorzio Nazionale Interuniversitario per le Scienze Fisiche della Materia, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133 Roma, Italy

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Issue

Vol. 76, Iss. 15 — 15 October 2007

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