Band structure and insulating states driven by the Coulomb interaction in twisted bilayer graphene

Abstract

We analyze the phase diagram of twisted graphene bilayers near a magic angle. We consider the effect of the long range Coulomb interaction, treated within the self consistent Hartree-Fock approximation, and we study arbitrary band fillings. We find a rich phase diagram, with different broken symmetry phases, although tehy do not show necessarily a gap at the Fermi energy. There are non trivial effects of the electrostatic potential on the shape and the gaps of the bands in the broken symmetry phases. The results suggest that the non superconducting broken symmetry phases observed experimentally are induced by the long range exchange interaction.

7 pages, 6 figures

References in corpus (4)

• Continuum Model of the Twisted Bilayer
• Graphene integer quantum Hall effect in the ferromagnetic and paramagnetic regimes
• Continuum models for twisted bilayer graphene: the effects of lattice deformation and hopping parameter
• Chern bands of twisted bilayer graphene: fractional Chern insulators and spin phase transition

Cited by in corpus (5)

• Momentum space quantum Monte Carlo on twisted bilayer Graphene
• Band Structure and Superconductivity in Twisted Trilayer Graphene
• Topological Flat Bands and Correlated States in Twisted Monolayer-Bilayer Graphene
• TSTG II: Projected Hartree-Fock Study of Twisted Symmetric Trilayer Graphene
• Trions in Twisted Bilayer Graphene