Bandyopadhyay, A and Joseph, NB and Narayan, A (2024) Non-linear Hall effects: Mechanisms and materials. In: Materials Today Electronics, 8 .
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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. © 2024 The Author(s)
| Item Type: | Journal Article |
|---|---|
| Publication: | Materials Today Electronics |
| Publisher: | Elsevier Ltd |
| Additional Information: | The copyright for this article belongs to authors. |
| Keywords: | Fruits; Spin Hall effect, Berry curvature; Berry curvature dipole; Effect mechanism; Hall response; Inversion symmetry; Non linear; Non-linear hall effect; Second orders; Theoretical foundations; Theoretical framework, Crystal symmetry |
| Department/Centre: | Division of Chemical Sciences > Solid State & Structural Chemistry Unit |
| Date Deposited: | 29 May 2024 06:17 |
| Last Modified: | 29 May 2024 06:17 |
| URI: | https://eprints.iisc.ac.in/id/eprint/85010 |
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