  Recently, the twist angle between adjacent sheets of stacked van der Waals
materials emerged as a new knob to engineer correlated states of matter in
two-dimensional heterostructures in a controlled manner, giving rise to
emergent phenomena such as superconductivity or correlated insulating states.
Here,we use an ab initio based approach to characterize the electronic
properties of twisted bilayer MoS2. We report that, in marked contrast to
twisted bilayer graphene, slightly hole-doped MoS2 realizes a strongly
asymmetric px-py Hubbard model on the honeycomb lattice, with two almost
entirely dispersionless bands emerging due to destructive interference. We
study the collective behavior of twisted bilayer MoS2 in the presence of
interactions, and characterize an array of different magnetic and
orbitally-ordered correlated phases,which may be susceptible to quantum
fluctuations giving rise to exotic, purely quantum, states of matter.
