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

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Cited by in corpus (10)

• 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
• 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
• Electronic Instabilities of the AA-Honeycomb Bilayer
• Quantum multicriticality of bilayer graphene in the presence of a tunable energy gap
• Electrically controllable magnetic order in the bilayer Hubbard model on honeycomb lattice --- a determinant quantum Monte Carlo study