Placed in cavity resonators with three-dimensionally confined electromagnetic wave, the interaction between quasiparticles in solids can be induced by exchanging virtual cavity photons, which can have a non-local characteristic. Here we investigate the possibility of utilizing this nonlocality to realize the remote control of the topological transition in mesoscopic moir\'{e} superlattices at full filling (one electron/hole per supercell) embedded in a split-ring terahertz electromagnetic resonator. We show that gate tuning one moir\'{e} superlattice can remotely drive a topological band inversion in another moir\'{e} superlattice not in contact but embedded in the same cavity. Our study of remote on/off switching of a topological transition provides a novel paradigm for the control of material properties via cavity vacuum fields.
@article{arxiv.2303.09379,
title = {Remote gate control of topological transitions in moir\'{e} superlattices via cavity vacuum fields},
author = {Zuzhang Lin and Chengxin Xiao and Danh-Phuong Nguyen and Geva Arwas and Cristiano Ciuti and Wang Yao},
journal= {arXiv preprint arXiv:2303.09379},
year = {2023}
}