Moir\'e systems provide a rich platform for studies of strong correlation physics. Recent experiments on hetero-bilayer transition metal dichalcogenide (TMD) Moir\'e systems are exciting in that they manifest a relatively simple model system of an extended Hubbard model on a triangular lattice. Inspired by the prospect of the hetero-TMD Moir\'e system's potential as a solid-state-based quantum simulator, we explore the extended Hubbard model on the triangular lattice using the density matrix renormalization group (DMRG). Specifically, we explore the two-dimensional phase space of the kinetic energy relative to the interaction strength t/U and the further-range interaction strength V1/U. We find competition between Fermi fluid, chiral spin liquid, spin density wave, and charge density wave. In particular, our finding of the optimal further-range interaction for the chiral correlation presents a tantalizing possibility.
@article{arxiv.2105.07008,
title = {Quantum Phases of Transition Metal Dichalcogenide Moir\'e Systems},
author = {Yiqing Zhou and D. N. Sheng and Eun-Ah Kim},
journal= {arXiv preprint arXiv:2105.07008},
year = {2023}
}