Correlated\nDirac Fermions in Twisted Bilayers of MoS<sub>2</sub>

Artificial\nhoneycomb lattices are essential for understanding\nexotic\nquantum phenomena arising from the interplay between Dirac physics\nand electron correlation. This work shows that the top two moiré\nvalence bands in rhombohedral-stacked twisted MoS<sub>2</sub> bilayers\n(tb-MoS<sub>2</sub>) form a honeycomb lattice with massless Dirac\nfermions. The hopping and Coulomb interaction parameters are explicitly\ndetermined based on large-scale ab initio calculations. The system\nexhibits significant nonlocal Coulomb repulsion and can be described\nby the extended Hubbard model. At half-filling, strong Coulomb repulsion\nin free-standing tb-MoS<sub>2</sub> drives the system away from the\nsemimetal phase, resulting in strongly correlated Dirac fermions.\nBy varying the twist angle and dielectric environment, the Hamiltonian\nparameters can be tuned in a wide range, enabling transitions between\ndistinct quantum phases. The high tunability makes tb-MoS<sub>2</sub> a promising simulator for exploring many-body effects of Dirac fermions.