corner
corner

Phys. Rev. Lett. 100, 246808 (2008) [4 pages]

BCS Superconductivity of Dirac Electrons in Graphene Layers

Download: PDF (178 kB) Buy this article Export: BibTeX or EndNote (RIS)

N. B. Kopnin1,2 and E. B. Sonin3
1Low Temperature Laboratory, Helsinki University of Technology, P.O. Box 2200, FIN-02015 HUT, Finland
2L. D. Landau Institute for Theoretical Physics, 117940 Moscow, Russia
3The Racah Institute of Physics, Hebrew University of Jerusalem, Israel

Received 27 March 2008; published 20 June 2008

Possible superconductivity of electrons with the Dirac spectrum is analyzed using the BCS model. We calculate the critical temperature, the superconducting energy gap, and the supercurrent as functions of the doping level and of the pairing interaction strength. Zero doping is characterized by the existence of a quantum critical point such that the critical temperature vanishes below some finite value of the interaction strength. However, the critical temperature remains finite for any nonzero electron or hole doping level when the Fermi energy is shifted away from the Dirac point. As distinct from usual superconductors, the supercurrent density is not proportional to the number of electrons but is strongly decreased due to the presence of the Dirac point.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.246808
DOI:
10.1103/PhysRevLett.100.246808
PACS:
73.63.−b, 74.25.Jb, 74.78.Na

See Also

Comment: Bruno Uchoa and A. H. Neto, Comment on “BCS Superconductivity of Dirac Electrons in Graphene Layers”, Phys. Rev. Lett. 102, 109701 (2009).

Reply: N. B. Kopnin and E. B. Sonin, Kopnin and Sonin Reply:, Phys. Rev. Lett. 102, 109702 (2009).