Motivated by recent experimental observations of opposite Chern numbers in R-type twisted MoTe2 and WSe2 homobilayers, we perform large-scale density-functional-theory (DFT) calculations with machine learning force fields to investigate moir\'e band topology from large to small twist angles in both materials. We find that the Chern numbers of the moir\'e frontier bands change sign as a function of twist angle, and this change is driven by the competition between moir\'{e} ferroelectricity and piezoelectricity. Our large-scale calculations, enabled by machine learning methods, reveal crucial insights into interactions across different scales in twisted bilayer systems. The interplay between atomic-level relaxation effects and moir\'e-scale electrostatic potential variation opens new avenues for the design of intertwined topological and correlated states, including the possibility of mimicking higher Landau-level physics in the absence of a magnetic field.
@article{arxiv.2311.12776,
title = {Polarization-driven band topology evolution in twisted MoTe$_2$ and WSe$_2$},
author = {Xiao-Wei Zhang and Chong Wang and Xiaoyu Liu and Yueyao Fan and Ting Cao and Di Xiao},
journal= {arXiv preprint arXiv:2311.12776},
year = {2024}
}