Transfer Learning Large-Scale Simulation and Fractional States in Twisted MoTe2

We develop the transfer-learning accelerated large-scale simulation, and investigate the lattice relaxation and moiré flat bands in twisted MoTe2 for a wide range of angles up to millions of atoms at meV accuracy. Built on the realistic continuum models with multiple Chern bands, our multi-band exact diagonalization analysis reveals significant band-mixing effects and the strong competition between charge density wave orders and integer (fractional) quantum anomalous Hall states.