Mottness and magnetism in moiré bilayer transition metal dichalcogenides: A cluster dynamical mean-field study

Moiré bilayer transition metal dichalcogenides (TMDs) have created much excitement recently due to their tunability of the relative magnitude between bandwidth and interaction strength. Examples include the heterobilayer MoTe₂/WSe₂ and the homobilayer WSe₂ exhibiting continuous Mott transitions and quantum criticality. The moiré Hubbard model (MHM) on a triangular lattice is believed to be a good candidate for a low-energy model of TMDs. In this talk I present a combined cluster dynamical mean-field study in real space (cellular dynamical mean-field theory) and reciprocal space (dynamical cluster approximation) of the MHM. The interplay of nesting properties with (quantum and spatial) correlations and the application of an external Zeeman field gives rise to the intriguing metal-insulator crossovers as well as rich magnetic phases observed in experiments.