▎ 摘 要
We report on finite-size exact-diagonalization calculations in a Hilbert space defined by the continuum-model flat moire bands of magic angle twisted bilayer graphene. For moire band filling 3 > vertical bar v vertical bar > 2, where superconductivity is strongest, we obtain evidence that the ground state is a spin ferromagnet. Near vertical bar v vertical bar = 3, we find Chern insulator ground states that have spontaneous spin, valley, and sublattice polarization, and demonstrate that the anisotropy energy in this order-parameter space is strongly band-filling-factor dependent. We emphasize that inclusion of the remote band self-energy is necessary for a reliable description of magic angle twisted bilayer graphene flat band correlations.