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Twisted homobilayer transition metal dichalcogenide (TMD) attracts anexpanding experimental interest recently for exhibiting a variety oftopological and magnetic states even at zero magnetic field. Most of thestudies right now focus on hole filling nu_h < 1, while a rich phase diagram athigher hole filling calls for more investigation. We perform a thorough surveyof possible interaction-driven phases at higher integer hole fillings. We firstconstruct the continuum model from a first-principles calculation, and thenperform a self-consistent Hartree-Fock study of the interacting ground states.We identify various valley polarized (VP) states at odd integer fillings andintervalley coherent (IVC) states at even integer fillings and discuss theenergetics competition among them. We also discuss the origin and theexperimental implications of the curious Chern insulator at nu_h = 2.

Topology, magnetism and charge order in twisted MoTe2 at higher integer hole fillings