Orbital magnetization provides a sensitive probe of topology and interactions, with particularly rich phenomenology in Chern insulators in which the topological edge states carry large equilibrium currents. Here we use a nanoscale superconducting sensor^1,2 to map the magnetic fringe fields in twisted bilayers of MoTe₂, in which transport^3,4 and optical sensing^5,6 experiments have revealed the formation of fractional Chern insulator (FCI) states at zero magnetic field. We observe oscillations in the local magnetic field associated with fillings ν = −1, −2/3, −3/5, −4/7 and −5/9 of the first moiré hole band, consistent with the formation of FCIs at these fillings. We determine the local thermodynamic gaps of the most robust FCI state at ν = −2/3, finding ^−2/3Δ as large as 7 meV. We also characterize sample spatial disorder, which is dominated by both inhomogeneity in the effective unit cell area⁷ as well as inhomogeneity in the band edge offset and bound dipole moment. Our results highlight both the challenges posed by structural disorder in the study of twisted homobilayer moiré systems and the opportunities afforded by the robust nature of the underlying correlated topological states.

轨道磁化为拓扑和相互作用提供了敏感的探针，在 Chern 绝缘体中具有特别丰富的现象学，其中拓扑边缘状态携带较大的平衡电流。在这里，我们使用纳米级超导传感器^1,2 来绘制 MoTe₂ 扭曲双层中的磁条纹场，其中传输^3,4 和光学传感^5,6 实验揭示了在零磁场下形成分数陈绝缘体 （FCI） 状态。我们观察到与第一莫尔孔带的填充物 ν = −1、-2/3、−3/5、−4/7 和 −5/9 相关的局部磁场振荡，这与在这些填充物处形成 FCI 一致。我们确定了 ν = −2/3 处最稳健的 FCI 状态的局部热力学间隙，发现 ^−2/3Δ 高达 7 meV。我们还表征了样本空间无序，其主要因素是有效晶胞面积⁷ 的不均匀性以及带边偏移和束缚偶极矩的不均匀性。我们的结果突出了扭曲同双层莫尔系统研究中结构无序带来的挑战，以及底层相关拓扑状态的稳健性所带来的机会。