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