Interplay of superconductivity and spin density wave order in doped graphene

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.

References in corpus (7)

• The electronic properties of graphene
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Kohn-Luttinger superconductivity in graphene
• Superconductivity and spin-density-waves in multi-band metals
• Electronic multicriticality in bilayer graphene
• Pomeranchuk instability in doped graphene
• Prediction and description of a chiral pseudogap phase

Cited by in corpus (9)

• CsV${}_3$Sb${}_5$: a ${\mathbb{Z}}_2$ topological kagome metal with a superconducting ground state
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• Electronic instabilities of kagome metals: saddle points and Landau theory
• Chiral d-wave superconductivity on the honeycomb lattice close to the Mott state
• Possible singlet and triplet superconductivity on honeycomb lattice
• The Kohn-Luttinger effect and anomalous pairing in new superconducting systems and graphene
• Superconductivity of strongly correlated electrons on the honeycomb lattice
• Mean-field analysis of a Hubbard interaction on Bernal Bilayer Graphene
• Moiré surface states and enhanced superconductivity in topological insulators