Chirality-Tunable Nonlinear Hall Effect

The nonlinear generalization of the Hall effect has recently gained much attention, with a rapidly growing list of noncentrosymmetric materials that display higher-order Hall responses under time-reversal invariant conditions. The intrinsic second-order Hall response arises due to the first-order moment of Berry curvaturetermed Berry curvature dipolewhich requires broken inversion and low crystal symmetries. Chiral materials are characterized by their lack of improper symmetries such as inversion, mirror plane, and roto-inversion. Owing to this absence of symmetries, in this work, we propose chiral systems as ideal platforms to study the Berry curvature dipole-induced nonlinear Hall effects. We use state-of-the-art first-principles computations, in conjunction with symmetry analyses, to explore a variety of chiral material classesmetallic NbSi2, semiconducting elemental Te, insulating HgS, and topological multifold semimetal CoSi. We present the emergence and tunability of the Berry curvature dipole in these chiral materials. In particular, we demonstrate that the two enantiomeric pairs exhibit an exactly opposite sign of the Berry curvature dipole. We complement our ab initio findings with a general tight-binding minimal model and give estimates for nonlinear Hall voltages, which are experimentally accessible. Our predictions put forward chiral materials as an emerging class of materials to realize nonlinear Hall phenomena and highlight an as-yet-unexplored aspect of these systems.