Interactions of topological and correlated states in twisted monolayer–bilayer graphene

The twisted moiré superlattice of graphene has induced various correlated many-body effects. The twisted monolayer–bilayer graphene is naturally born with lower crystal symmetry, breaking both two-fold rotation and mirror reflection symmetry, which could help to reveal the degenerated energy bands with non-zero Chern numbers. The discovery of flat electronic bands with topological character in magic-angle twisted monolayer-bilayer graphene has created a unique opportunity to search for new strongly correlated topological phases. Here we mainly focus on the novel transport properties emerging in the interactions among electrons and the topology of their band structure.