Competing Ordered States in Bilayer Graphene

Abstract

We use a perturbative renormalization group approach with short-range continuum model interactions to analyze the competition between isotropic gapped and anisotropic gapless ordered states in bilayer graphene, commenting specifically on the role of exchange and on the importance of spin and valley flavor degeneracy. By comparing the divergences of the corresponding susceptibilities, we conclude that this approach predicts gapped states for flavor numbers N=1,2,4. We also comment briefly on the related gapped states expected in chiral (ABC) trilayer graphene.

12 pages, 7 figures and 1 table

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Cited by in corpus (32)

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• Renormalization group study of interaction-driven quantum anomalous Hall and quantum spin Hall phases in quadratic band crossing systems
• Gapped broken symmetry states in ABC trilayer graphene
• Competing orders and cascade of degeneracy lifting in doped Bernal bilayer graphene
• Extended Hubbard model in undoped and doped monolayer and bilayer graphene: Selection rules and organizing principle among competing orders
• Wess-Zumino-Witten Terms in Graphene Landau Levels
• Ferroelectric and anomalous quantum Hall states in bare rhombohedral trilayer graphene
• Stacking order, interaction and weak surface magnetism in layered graphene sheets
• Spontaneous Layer-Pseudospin Domain Walls in Bilayer Graphene
• Distinct Competing Ordered ν=2 States in Bilayer Graphene
• On the coexistence of antiferromagnetism and d + i d superconducting correlations in the graphene bilayer
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• Transport Measurement of Landau level Gaps in Bilayer Graphene
• Spontaneous Chiral Symmetry Breaking in Bilayer Graphene
• Valley-Selective Topological Ordered States in Irradiated Bilayer Graphene
• Emergent dome of nematic order around a quantum anomalous Hall critical point
• Phase diagram of a graphene bilayer in the zero-energy Landau level
• Spontaneous Layer Polarization and Conducting Domain Walls in the Quantum Hall Regime of Bilayer Graphene
• Deconfined criticality in bilayer graphene
• Quantum multicriticality of bilayer graphene in the presence of a tunable energy gap
• Critical Behavior of Four-Terminal Conductance of Bilayer Graphene Domain Walls
• Zero modes of the generalized fermion-vortex system in magnetic field
• Interaction-Driven Topological Switch in a $P$-Band Honeycomb Lattice
• Disorder-tuned selection of order in bilayer graphene
• Bilayer honeycomb lattice with ultracold atoms: Multiple Fermi surfaces and incommensurate spin density wave instability
• Color degeneracy of competing orders near topological defects cores in planar quadratic band touching systems
• Electrically controllable magnetic order in the bilayer Hubbard model on honeycomb lattice --- a determinant quantum Monte Carlo study
• Electron-electron interactions in non-equilibrium bilayer graphene
• Particle-hole symmetry and bifurcating ground state manifold in the quantum Hall ferromagnetic states of multilayer graphene