Giant nonlinear Hall effect in strained twisted bilayer graphene

Recent studies have shown that moir\'e flat bands in twisted bilayer graphene (TBG) can acquire nontrivial Berry curvatures when aligned with a hexagonal boron nitride substrate, which be manifested as correlated Chern insulator near the 3/4 filling. In this Letter, we show large lead to strong nonlinear Hall (NLH) effect strained TBG general filling factors. Under weak uniaxial strain $\ensuremath{\sim}0.1%$, curvature dipole characterizes response $\ensuremath{\sim}200\phantom{\rule{0.28em}{0ex}}\text{\AA{}}$, exceeding values of previously known materials by two orders magnitude. The dependence giant NLH function electric gating, strain, and twist angle is further investigated systematically. Importantly, point out appears generically for magic due susceptibility nearly symmetry breaking induced strains, even induce topological band inversion. Our results establish promising platform investigating effects such effect, Nernst thermal its dipole.