Fractional Quantum Anomalous Hall Effect in Twisted Bilayer Transition Metal Dichalcogenides

Recently, both the integer and fractional quantum Hall effect has been observed in twisted bilayer transition metal dichalcogenides (TMDs) at zero magnetic field, generating widespread interest in this materials system. In this talk, I will first introduce the basic models describing twisted bilayer TMDs, including the origin of the nontrivial topology. I will then discuss how machine learning method can be used to establish the microscopic Hamiltonian and the important role of polarization charges in determining the band topology. Finally, I will discuss the possibility of non-Abelian states in this material system.