Continuous Mott transition in correlated moiré TMDs with disorder

Twisted TMDs are by now well-recognized as strong candidate hosts for exotic quantum states, such as spin liquids. Accordingly, it has been proposed that the continuous transition observed between a correlated insulating state and a metal in twisted MoTe2/WSe2 and twisted bilayer WSe2 may be a physical realization of the theorized continuous Mott transition separating a spin liquid with spinon Fermi surface and a Fermi liquid. Nevertheless, experimental observations are not entirely consistent with expectations; in particular, the resistance change across the transition is larger than the universal value calculated for a clean system. As in all moiré systems, twist angle inhomogeneities are unavoidable, and we therefore study the continuous Mott transition in the presence of disorder using a quantum Boltzmann equation. We discuss applications to composite Fermi liquid theories of fractional quantum anomalous Hall and fractional Chern insulating states.