Antiferromagnetism in the Hubbard Model on the Bernal-stacked Honeycomb Bilayer

Abstract

Using a combination of quantum Monte Carlo simulations, functional renormalization group calculations and mean-field theory, we study the Hubbard model on the Bernal-stacked honeycomb bilayer at half-filling as a model system for bilayer graphene. The free bands consisting of two Fermi points with quadratic dispersions lead to a finite density of states at the Fermi level, which triggers an antiferromagnetic instability that spontaneously breaks sublattice and spin rotational symmetry once local Coulomb repulsions are introduced. Our results reveal an inhomogeneous participation of the spin moments in the ordered ground state, with enhanced moments at the three-fold coordinated sites. Furthermore, we find the antiferromagnetic ground state to be robust with respect to enhanced interlayer couplings and extended Coulomb interactions.

4+ pages, 4 figures; final version

References in corpus (10)

• The electronic properties of 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
• 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
• Transport Gap in Suspended Bilayer Graphene at Zero Magnetic Field

Cited by in corpus (29)

• The Hubbard Model
• Correlated Dirac Particles and Superconductivity on the Honeycomb Lattice
• Interacting electrons on trilayer honeycomb lattices
• Metal-insulator transition and phase separation in doped AA-stacked graphene bilayers
• Extended Hubbard model in undoped and doped monolayer and bilayer graphene: Selection rules and organizing principle among competing orders
• Importance of long-ranged electron-electron interactions for the magnetic phase diagram of twisted bilayer graphene
• Observation of competing, correlated ground states in the flat band of rhombohedral graphite
• Spontaneous Layer-Pseudospin Domain Walls in Bilayer Graphene
• Unconventional pairing and electronic dimerization instabilities in the doped Kitaev-Heisenberg model
• Distinct Competing Ordered ν=2 States in Bilayer Graphene
• Flat band electrons and interactions in rhombohedral trilayer graphene
• divERGe implements various Exact Renormalization Group examples
• Electronic Instabilities of the AA-Honeycomb Bilayer
• Gross-Neveu-Heisenberg criticality from competing nematic and antiferromagnetic orders in bilayer graphene
• Quantum multicriticality of bilayer graphene in the presence of a tunable energy gap
• Triplet superconductivity and spin density wave in biased AB bilayer graphene
• Magnetic catalysis in weakly interacting hyperbolic Dirac materials
• Charge Singlets and Orbital-Selective Charge Density Wave Transitions
• Gate-induced half-metals in Bernal stacked graphene multilayer
• Ubiquitous nematic Dirac semimetal emerging from interacting quadratic band touching system
• 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
• Quantifying the fragility of unprotected quadratic band crossing points
• Non-Hermitian catalysis of spontaneous symmetry breaking on Euclidean and hyperbolic lattices
• Influence of hopping selfenergy and quasiparticle degradation on the antiferromagnetic ordering in the bilayer honeycomb Hubbard model
• Mean-field analysis of a Hubbard interaction on Bernal Bilayer Graphene
• Spontaneous charge-ordered state in Bernal-stacked bilayer graphene
• Ordered states in AB bilayer graphene in SU(4)-symmetric model
• Magnetic ordering tendencies in hexagonal boron nitride-bilayer graphene moiré structures