Moiré dependent Chern insulators in twisted crystalline flatbands

Abstract: In moir\'e crystals, the competition between different isospin configurations can be tuned by twist angles and stacking orders, forming various symmetry-broken states. Here we report twisted double rhombohedral-trilayer-gaphene as a new twisted crystalline flatbands system showing rich moir\'e dependent topological phenomena. For small twist angles, programmable Chern insulators with Chern number C = 3 at integer moir\'e filling v = 1 have been observed. We have further revealed multiple first-order transitions and an exotic hidden order which can quench the Chern insulator. Interestingly, for a larger twist angle, multiple Chern insulators with C = 1 at fractional fillings including v = 1/4, 1/3 and 1/2 have been observed, whereas the Chern insulator at v = 1 is absent. Our study demonstrated the twisted flatbands from rhombohedral-multilayer-graphene as a new platform to study topological correlated physics, offering a promising pathway toward developing new devices for quantum storage and computation.