Non-local interactions and supersolidity of moir\'e excitons

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