Bridging Hubbard model physics and quantum Hall physics in trilayer graphene/h−BN moiré superlattice

ABC-stacked trilayer graphene aligned with a boron nitride substrate is a fascinating correlated electron system with gate-tunable bandwidth and band topology. This paper derives an explicit lattice extended Hubbard model for the topologically trivial side. This provides a solid framework for future studies of this system. An interesting outcome is the identification of a novel physical mechanism for ferromagnetism in a Mott insulator. The paper also highlights the remarkable opportunities presented by this system for fundamental studies of the electronic Mott transition through feasible transport experiments.