Moiré fractional Chern insulators. I. First-principles calculations and continuum models of twisted bilayer MoTe2

The researchers here shed new light on the elusive single-particle model of twisted bilayer MoTe${}_{2}$, a material recently highlighted for hosting fractional Chern insulators at zero magnetic field. By leveraging an advanced machine learning method and density functional theory, the team meticulously maps out the band structure across various twist angles, revealing a pivotal band inversion and refining the theoretical landscape. By enhancing the continuum model with higher harmonic terms, they unveil opposite Chern numbers in the valence bands for key angles, paving the way for predicting diverse Chern states. This comprehensive analysis lays the groundwork for accurately pinpointing correlated phases in this intriguing material, offering a beacon for future explorations.