Correlated states in the graphene moiré ABC trilayer-hBN*

Correlated insulating states resembling the ones in twisted bilayer graphene have been observed in the graphene moiré formed by an ABC trilayer aligned with the underlying boron nitride (ABC/TLG-hBN) [1]. In ABC/TLG-hBN the shape and the topology of the bands can be controlled by an electric field. The insulating states appear at several integer fillings for a specific sign of the electric field and the doping. The nature of these insulating states, in particular whether they are Mott insulating states is unknown. Starting from a Wannier function representation [2] we have studied the nature of the correlated states, including the doping and field dependence, with particular emphasis on their Mott character.

[1] Chen et al, Nature Physics 15, 237 (2019). Chen et al, Nature 579, 56 (2020)
[2] Y-H. Zhang and T. Senthil, PRB 99, 205150 (2019).