Toward a global phase diagram of the fractional quantum anomalous Hall effect

Recent experiments on tMoTe₂ provide the first realization of the fractional quantum anomalous Hall effect. Synthesizing insights from an extensive exact diagonalization study, the authors present here a many-body phase diagram tMoTe₂, in which lowest Landau level (LLL) -like features and non-LLL-like features coexist. The study highlights several guiding principles, including interaction-enhanced particle-hole asymmetry, that is expected to play an important role in general fractional quantum anomalous Hall systems.