Flat bands in magic-angle twisted bilayer graphene (MATBG) have recently emerged as a rich platform to explore strong correlations¹, superconductivity^2,3,4,5 and magnetism^3,6,7. However, the phases of MATBG in a magnetic field and what they reveal about the zero-field phase diagram remain relatively uncharted. Here we report a rich sequence of wedge-like regions of quantized Hall conductance with Chern numbers C = ±1, ±2, ±3 and ±4, which nucleate from integer fillings of the moiré unit cell v = ±3, ±2, ±1 and 0, respectively. We interpret these phases as spin- and valley-polarized many-body Chern insulators. The exact sequence and correspondence of the Chern numbers and filling factors suggest that these states are directly driven by electronic interactions, which specifically break the time-reversal symmetry in the system. We further study the yet unexplored higher-energy dispersive bands with a Rashba-like dispersion. The analysis of Landau-level crossings enables a parameter-free comparison to a newly derived ‘magic series’ of level crossings in a magnetic field and provides constraints on the parameters of the Bistritzer–MacDonald MATBG Hamiltonian. Overall, our data provide direct insights into the complex nature of symmetry breaking in MATBG and allow for the quantitative tests of the proposed microscopic scenarios for its electronic phases.

魔角扭曲双层石墨烯 (MATBG) 中的平带最近已成为探索强相关性¹、超导性^{2、3、4、5}和磁性^3、6、7的丰富平台。然而，MATBG 在磁场中的相位以及它们对零场相位图的揭示仍然相对未知。在这里，我们报告了一系列具有陈数C  = ±1、±2、±3 和 ±4的量化霍尔电导的楔形区域，它们从莫尔晶胞v 的整数填充物中成核 = ±3、±2、±1 和 0，分别。我们将这些相位解释为自旋和谷极化多体陈绝缘体。陈数和填充因子的确切顺序和对应关系表明，这些状态是由电子相互作用直接驱动的，这特别破坏了系统中的时间反转对称性。我们进一步研究了尚未探索的具有 Rashba 样色散的高能色散带。朗道平交道口的分析能够与新推导出的磁场中平交道口的“魔术系列”进行无参数比较，并提供对 Bistritzer-MacDonald MATBG 哈密顿量参数的约束。全面的，