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 (17)

• The electronic properties of graphene
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Chiral superconductivity from repulsive interactions in doped graphene
• Superconducting states of pure and doped graphene
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Resonating valence bonds and mean-field d-wave superconductivity in graphite
• Functional renormalization group and variational Monte Carlo studies of the electronic instabilities in graphene near 1/4 doping
• Competing order and nature of the pairing state in the iron pnictides
• Kohn-Luttinger superconductivity in graphene
• Superconductivity and spin-density-waves in multi-band metals
• Electronic multicriticality in bilayer graphene
• Itinerant half-metal spin-density-wave state on the hexagonal lattice
• Spontaneous quantum Hall effect in quarter-doped Hubbard model on honeycomb lattice and its possible realization in quarter-doped graphene system
• Spin-density-wave instability in graphene doped near the van Hove singularity
• Pomeranchuk instability in doped graphene
• Coexistence between superconducting and spin density wave states in iron-based superconductors: Ginzburg-Landau analysis
• Prediction and description of a chiral pseudogap phase

Cited by in corpus (20)

• CsV${}_3$Sb${}_5$: a ${\mathbb{Z}}_2$ topological kagome metal with a superconducting ground state
• Superconductivity in the ${\mathbb{Z}}_2$ kagome metal KV${}_3$Sb${}_5$
• Electronic instabilities of kagome metals: saddle points and Landau theory
• Chiral d-wave superconductivity in doped graphene
• Superconductivity from weak repulsion in hexagonal lattice systems
• Chiral triplet superconductivity on the graphene lattice
• Chiral d-wave superconductivity on the honeycomb lattice close to the Mott state
• Instabilities of Weyl-loop semi-metals
• Loop currents and anomalous Hall effect from time-reversal symmetry-breaking superconductivity on the honeycomb lattice
• Possible singlet and triplet superconductivity on honeycomb lattice
• Defects in the (d+id)-wave superconducting state in heavily doped graphene
• On the coexistence of antiferromagnetism and d + i d superconducting correlations in the graphene bilayer
• The Kohn-Luttinger effect and anomalous pairing in new superconducting systems and graphene
• Particle-hole condensates of higher angular momentum in hexagonal systems
• Kekulé superconductivity and antiferromagnetism on the graphene lattice
• Superconductivity of strongly correlated electrons on the honeycomb lattice
• Anomalous superconductivity and superfluidity in repulsive fermion systems
• Fractal non-Fermi liquids from moiré-Hofstadter phonons
• Moiré surface states and enhanced superconductivity in topological insulators
• Mean-field analysis of a Hubbard interaction on Bernal Bilayer Graphene