Moiré Hamiltonian Construction and Competing Many-Body States in TMD homobilayer moiré materials

We will discuss the role played by stacking dependent layer separations in constructing models of TMD homobilayer moire materials. We account for variations in layer separation using first principles electronic structure calculations from which a two-layer continuum model is derived by integrating out remote bands. We then examine the influence of the detailed form of the moiré-band model on competing many-body states at filling factor $\nu=1$, including unordered metallic states, layer-polarized ferromagnets, layer-polarized three-sublattice antiferromagnets, Chern ferromagnets, and fractional quantum spin-Hall states. We find that factors like local lattice relaxations, which alter the band model, significantly influence mean-field phase boundaries, and attempt to relate our findings to the experimental landscape.