Nonlocal interactions and supersolidity of moire excitons

Heterobilayer transition metal dichalcogenide (TMDC) moir?? systems provide an ideal framework to inves-tigate strongly correlated physics. Here we theoretically study bosonic many-body phases of excitons in moir?? TMDCs. By using two moir?? models and cluster mean-field theory, we reveal that, due to nonlocal Coulomb interactions, moir?? excitons can feature exotic supersolid phases, i.e., superfluids of broken translational invari-ance, and correlated insulating states. The correlated phases exist at experimentally accessible temperatures and are tunable via the twist angle and exciton density.