Electronic multicriticality in bilayer graphene

Abstract

We map out the possible ordered states in bilayer graphene at the neutrality point by extending the previous renormalization group treatment of many-body instabilities to finite temperature, trigonal warping and externally applied perpendicular electric field. We were able to analytically determine all outcomes of the RG flow equations for the 9 four-fermion coupling constants. While the full phase diagram exhibits a rich structure, we confirm that when forward scattering dominates, the only ordering tendency with divergent susceptibility at finite temperature is the nematic. At finite temperature this result is stable with respect to small back and layer imbalance scattering; further increasing their strength leads to the layer antiferromagnet. We also determine conditions for other ordered states to appear and compare our results to the special cases of attractive and repulsive Hubbard models where exact results are available.

27 pages, 13 figures, 1 table (published version)

References in corpus (12)

• The electronic properties of graphene
• Electron fractionalization in two-dimensional graphenelike structures
• Electronic properties of bilayer and multilayer graphene
• Determination of the electronic structure of bilayer graphene from infrared spectroscopy results
• Pseudospin Magnetism in Graphene
• Quantum Anomalous Hall State in Bilayer Graphene
• Local Compressibility Measurements of Correlated States in Suspended Bilayer Graphene
• Lattice Theory of Pseudospin Ferromagnetism in Bilayer Graphene: Competing Orders and Interaction Induced Quantum Hall States
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• Interacting fermions on the honeycomb bilayer: from weak to strong coupling
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• Ordered Loop Current States in Bilayer Graphene
• Instabilities on graphene's honeycomb lattice with electron-phonon interactions
• Interplay of superconductivity and spin density wave order in doped graphene
• Spontaneous Layer-Pseudospin Domain Walls in Bilayer Graphene
• The fate of interaction-driven topological insulators under disorder
• Gapped phase in AA stacked bilayer graphene
• Distinct Competing Ordered ν=2 States in Bilayer Graphene
• Quantum multicriticality of bilayer graphene in the presence of a tunable energy gap
• Excitonic Instabilities and Insulating States in Bilayer Graphene
• Emergence of superconductivity in a doped single-valley quadratic band crossing system of spin-1/2 fermions
• Electrically controllable magnetic order in the bilayer Hubbard model on honeycomb lattice --- a determinant quantum Monte Carlo study
• Broken symmetry states in bilayer graphene in electric and in-plane magnetic fields