Abstract
We predict that in a twisted homobilayer of transition-metal dichalcogenide MoS, spin-orbit coupling in the conduction band states from valleys can give rise to moiré flat bands with nonzero Chern numbers in each valley. The nontrivial band topology originates from a unique combination of angular twist and local mirror symmetry breaking in each individual layer, which results in unusual skyrmionic spin textures in momentum space with skyrmion number . Our Hartree-Fock analysis further suggests that density-density interactions generically drive the system at -filling into a valley-polarized state, which realizes a correlated quantum anomalous Hall state with Chern number . Effects of displacement fields are discussed with comparison to nontrivial topology from layer-pseudospin magnetic fields.
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