From fractional Chern insulators to topological electronic crystals in moiré MoTe₂

Moiré materials have emerged as an ideal platform for exploring the physics of strong electronic correlations and non-trivial band topology. Recently, a series of emergent quantum phases have been observed in twisted MoTe2, notable examples including the observation of fractional quantum anomalous Hall (FQAH) effect and unconventional superconductivity in about 3.7-3.9 degree twisted bilayer MoTe2. In this talk, we will present the transport study of twisted bilayer MoTe2 with slightly larger twisted angles. We found subtle competitions between the fractional Chern insulators and topological electronic crystals, which may relate to the change of the moiré band quantum geometry.