Superconductivity on the brink of spin-charge order in doped honeycomb bilayer

Abstract

Using a controlled weak-coupling renormalization group approach, we establish the mechanism of unconventional superconductivity in the vicinity of spin or charge ordered excitonic states for the case of electrons on the Bernal stacked bilayer honeycomb lattice. With one electron per site this system exhibits nearly parabolically touching conduction and valence bands. Such a state is unstable towards a spontaneous symmetry breaking, and repulsive interactions favor excitonic order, such as a charge nematic and/or a layer antiferromagnet. We find that upon adding charge carriers to the system, the excitonic order is suppressed, and unconventional superconductivity appears in its place, before it is replaced by a Fermi liquid. We focus on firmly establishing this phenomenon using the RG formalism within an idealized model with parabolic touching.

5+3 pages, 4 figures; typos corrected

References in corpus (11)

• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Pseudospin Magnetism in Graphene
• Local Compressibility Measurements of Correlated States in Suspended Bilayer Graphene
• Minimum Conductivity and Evidence for Phase Transitions in Ultra-clean Bilayer Graphene
• Interacting fermions on the honeycomb bilayer: from weak to strong coupling
• Competing Nematic, Anti-ferromagnetic and Spin-flux orders in the Ground State of Bilayer Graphene
• Non-Fermi liquid fixed point in a Wilsonian theory of quantum critical metals
• Electronic multicriticality in bilayer graphene
• Antiferromagnetism in the Hubbard Model on the Bernal-stacked Honeycomb Bilayer
• Transport Gap in Suspended Bilayer Graphene at Zero Magnetic Field

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