Calculations of the nonlinear Hall effect with first-principles electron-phonon collisions and Berry curvature*

In certain topological materials, the application of an electric field results in a finite second-order transverse Hall voltage, a phenomenon commonly known as the nonlinear Hall effect (NLHE). This recently discovered effect has gathered significant attention, primarily because it does not require the breaking of time-reversal symmetry, unlike conventional Hall effects. First-principles calculations have shown that intrinsic NLHE originates from the presence of a finite Berry-curvature dipole. However, accurately computing NLHE requires knowledge of both band topology and the electronic scattering mechanisms. In this talk, we combine first-principles Berry curvature and electron-phonon scattering calculations to achieve a quantitative description of nonlinear Hall transport. We solve the Boltzmann equation including both Berry curvature and e-ph collisions, and apply our method to two prototypical systems – monolayer WSe₂ and bilayer WTe₂ – to demonstrate quantitative predictions of NLHE.