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We study the quantum nonlinear Hall effect in two-dimensional materials withtime-reversal symmetry. When only one mirror line exists, a transverse chargecurrent occurs in second-order response to an external electric field, as aresult of the Berry curvature dipole in momentum space. Candidate 2D materialsto observe this effect are two-dimensional transition-metaldichalcogenides~(TMDCs). First we use an ab initio based tight-binding approachto demonstrate that monolayer $T_d$-stricture TMDCs exhibit a finite Berrycurvature dipole. In the $1H$ and $1T'$ phase of TMDCs, we show the emergenceof finite Berry curvature dipole with the application of strain and electricaldisplacement field respectively.

Berry curvature dipole current in transition metal dichalcogenides family