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The second-order nonlinear Hall effect illuminates a frequency-doublingtransverse current emerging in quantum materials with broken inversion symmetryeven when time-reversal symmetry is preserved. This nonlinear responseoriginates from both the Berry curvature dipole and the chiral Bloch electronskew scatterings, reflecting various information of the lattice symmetries,band dispersions, and topology of the electron wavefunctions. Even though manyefforts have been put in detecting the nonlinear Hall effect in diversecondensed matter systems, effective manipulation of the two principalmechanisms in a single system has been lacking, and the reported response isrelatively weak. Here, we report effective manipulation of the nonlinear Halleffect and realization of a colossal second-order Hall conductivity, $\sim500{\mu}mSV^{-1}$, orders of magnitudes higher than the reported values, in AB-BAstacked twisted double bilayer graphene. A Berry-curvature-dipole-dominatednonlinear Hall effect, as well as its controllable transition toskew-scattering-dominated response, is identified near the band edge. Thecolossal response, on the other hand, is detected near the van Hovesingularities, mainly determined by the skew scattering of the chiral Blochelectrons. Our findings establish electrically tunable moir\'e systemspromising for nonlinear Hall effect manipulations and applications.

Effective manipulation and realization of a colossal nonlinear Hall effect in an electric-field tunable moir\'e system