We develop a systematic theory for excitons subject to Fermi-Hubbard physics in moir\'e twisted transition metal dichalcogenides (TMDs). Specifically, we consider excitons in moir\'e systems for which the valence band is in the Mott-insulating regime. These "Mott-moir\'e excitons", which are achievable in twisted TMD heterobilayers, are bound states of a magnetic polaron in the valence band and a free electron in the conduction band. We find significantly narrower exciton bandwidths in the presence of Hubbard physics, serving as a potential experimental signature of strong correlations. We also demonstrate the high tunability of Mott-moir\'e excitons through the dependence of their binding energies, diameters, and bandwidths on the moir\'e period. Our work provides guidelines for future exploration of strongly correlated excitons in twisted TMD heterobilayers.
@article{arxiv.2207.13152,
title = {Mott-moir\'e excitons},
author = {T. -S. Huang and Yang-Zhi Chou and C. L. Baldwin and Fengcheng Wu and Mohammad Hafezi},
journal= {arXiv preprint arXiv:2207.13152},
year = {2023}
}