Non-linear Hall Effects: Mechanisms and Materials

Abstract

This review presents recent breakthroughs in the realm of nonlinear Hall effects, emphasizing central theoretical foundations and recent experimental progress. We elucidate the quantum origin of the second-order Hall response, focusing on the Berry curvature dipole, which may arise in inversion symmetry broken systems. The theoretical framework also reveals the impact of disorder scattering effects on the nonlinear response. We further discuss the possibility of obtaining nonlinear Hall responses beyond the second order. We examine symmetry-based indicators essential for the manifestation of nonlinear Hall effects in time-reversal symmetric crystals, setting the stage for a detailed exploration of theoretical models and candidate materials predicted to exhibit sizable and tunable Berry curvature dipole. We summarize groundbreaking experimental reports on measuring both intrinsic and extrinsic nonlinear Hall effects across diverse material classes. Finally, we highlight some of the other intriguing nonlinear effects, including nonlinear planar Hall, nonlinear anomalous Hall, and nonlinear spin and valley Hall effects. We conclude with an outlook on pivotal open questions and challenges, marking the trajectory of this rapidly evolving field.

arXiv commentAccepted for publication in "Materials Today Electronics" (2024)

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Cited by in corpus (14)

• Light-enhanced nonlinear Hall effect
• Intrinsic nonlinear Hall effect in two-dimensional honeycomb topological antiferromagnets
• Quantum Spin Hall Effect and Su-Schrieffer-Heeger Model Implementation in Novel C3N-based Dumbbell Morphologies
• Terahertz radiation driven nonlinear transport phenomena in two-dimensional tellurene
• Extracting Nonlinear Dynamical Response Functions from Time Evolution
• Nonlinear Hall effects with an exceptional ring
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• Anomalous magnetoresistance in an antiferromagnetic Kagome semimetal heterostructures
• Chirality-tunable non-linear Hall effect
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• Nonlinear Hall Effects induced by Berry Curvature Dipole in CuPb${}_9$(PO${}_4$)${}_6$O
• Evolution of the Berry curvature dipole in uniaxially strained bilayer graphene
• Altermagnetism from the viewpoint of chemistry
• Spin order and excitations in the collinear kagome antiferromagnet Y${}_{0.5}$Fe${}_3$Sn${}_3$