Dynamical mean field theory of moire bilayer transition metal dichalcogenides*

We present a comprehensive dynamical mean field study of the moire Hubbard model, which is believed to represent the physics of moire bilayer transition metal dichalcogenides. In these materials the band structure (including the presence or absence of a higher order van Hove singularity) can be tuned  by varying a ``displacement field". We present a magnetic and metal-insulator phase diagram and a detailed study of the dependence of the resistivity on temperature, band filling and displacement field. We find regions of strange metal behavior as well as Fermi liquid regions and show how varying the displacement field leads to actual or apparent criticality and how magnetic order affects the resistivity.  We compare our results to recent experiments.