Fig. 2: Quantum anomalous Hall crystal at \(\nu=\frac{2}{3}\) in realistic twisted double bilayer graphene with twist angle θ = 1.35∘ and a vertical potential bias of U = 60 meV.
From: Quantum anomalous Hall crystals in moiré bands with higher Chern number

a Many-body energy spectrum for Ns = 27 sites showing a threefold degenerate ground state with average many-body Chern number \({{{{\mathcal{C}}}}}=1\). The parent single-particle band has a Chern number C = 2. b Hole-entanglement spectrum, where the number of states below the red line is 378 and matches exactly the number of allowed quasiparticle excitations in a charge density wave. c Structure factor in the moiré Brillouin zone. d Pair-correlation function in the considered finite system.