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Using a realistic band structure for twisted WSe$_2 $ materials, we develop atheory for the interaction-driven correlated insulators to conducting metalstransitions through the tuning of the filling factor around commensuratefractional fillings of the moir\'e unit cell in the 2D honeycomb lattice,focusing on the dominant half-filled Mott insulating state, which exists forboth long- and short-range interactions. We find metallic states slightly awayfrom half-filling, as have recently been observed experimentally. We discussthe stabilities and the magnetic properties of the resulting insulating andmetallic phases, and comment on their experimental signatures. We also discussthe nature of the correlated insulator states at the rational fractionalfillings.

Interaction-Driven Filling-Induced Metal-Insulator Transitions in 2D Moir\'e Lattices