Triplet superconductivity and spin density wave in biased AB bilayer graphene

Abstract

We examine spin density wave and triplet superconductivity as possible ground states of the Bernal bilayer graphene. The spin density wave is stable for the unbiased and undoped bilayer. Both the doping and the applied bias voltage destroy this phase. We show that, when biased and slightly doped, bilayer can host a triplet superconducting phase. The mechanisms for both ordered phases rely on the renormalized Coulomb interaction. Consistency of our theoretical conclusions with recent experimental results are discussed.

14 pages, 8 figures, several misprints were corrected, Appendix A was re-written to correct several mistakes (conclusions remain the same), new discussion topics were added; this version is an accurate copy of the published paper

References in corpus (18)

• Isospin magnetism and spin-triplet superconductivity in Bernal bilayer graphene
• Pseudospin Magnetism in Graphene
• Screening, Kohn anomaly, Friedel oscillation, and RKKY interaction in bilayer graphene
• Quantum cascade of new correlated phases in trigonally warped bilayer graphene
• Cascade of isospin phase transitions in Bernal bilayer graphene at zero magnetic field
• Minimum Conductivity and Evidence for Phase Transitions in Ultra-clean Bilayer Graphene
• Dynamic Screening and Low Energy Collective Modes in Bilayer Graphene
• Antiferromagnetism in the Hubbard Model on the Bernal-stacked Honeycomb Bilayer
• Acoustic-phonon-mediated superconductivity in Bernal bilayer graphene
• Transport Gap in Suspended Bilayer Graphene at Zero Magnetic Field
• Superconductivity from electronic interactions and spin-orbit enhancement in bilayer and trilayer graphene
• Spin-triplet superconductivity at the onset of isospin order in biased bilayer graphene
• Competing orders and cascade of degeneracy lifting in doped Bernal bilayer graphene
• Acoustic-phonon-mediated superconductivity in moiréless graphene multilayers
• Spin Symmetry of the Bilayer Graphene Groundstate
• Superconductivity induced by the inter-valley Coulomb scattering in a few layers of graphene
• Homogeneity of Bilayer Graphene
• Half-metal and other fractional metal phases in doped AB bilayer graphene

Cited by in corpus (6)

• Interaction-driven (quasi-) insulating ground states of gapped electron-doped bilayer graphene
• Topological Chiral Superconductivity Mediated by Intervalley Antiferromagnetic Fluctuations in Twisted Bilayer WSe${}_2$
• Superconductivity and spin density wave in AA stacked bilayer graphene
• Coexistence of nematic superconductivity and spin density wave in magic-angle twisted bilayer graphene
• Ordered states in AB bilayer graphene in SU(4)-symmetric model
• Ordered states of undoped AB bilayer graphene: bias induced cascade of transitions