English

Interplay of superconductivity and spin density wave order in doped graphene

Strongly Correlated Electrons 2012-09-20 v1 Superconductivity

Abstract

We study the interplay between superconductivity and spin density wave order in graphene doped to 3/8 or 5/8 filling (a Van Hove doping). At this doping level, the system is known to exhibit weak coupling instabilities to both chiral d + id superconductivity and to a uniaxial spin density wave. Right at van Hove doping, the superconducting instability is strongest and emerges at the highest Tc, but slightly away from van-Hove doping a spin-density-wave likely emerges first. We investigate whether at some lower temperature superconductivity and spin-density-waves co-exist. We derive the Landau-Ginzburg functional describing interplay of the two order parameters. Our calculations show that superconductivity and spin density wave order do not co-exist and are separated by first-order transitions, either as a function of doping or as a function of T.

Keywords

Cite

@article{arxiv.1207.5802,
  title  = {Interplay of superconductivity and spin density wave order in doped graphene},
  author = {Rahul Nandkishore and Andrey V. Chubukov},
  journal= {arXiv preprint arXiv:1207.5802},
  year   = {2012}
}