ArticleNature communications2021
Quantum theory of the nonlinear Hall effect.
Article in Nature communications, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 papers.
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Who cites it
17 citing papers in PubMed.
- Disorder Driven Anisotropic Nonlinear Hall Effect in the Kagome Metal YbCoAdvanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Article
- Room-temperature ferroelectrically switchable quantum geometry in few-layer WTeNature communications · 2026Article
- Higher odd-order nonlinear Hall effect in magnetic topological insulator Mn(BiNature communications · 2026Article
- Large Anomalous Hall Effect, Non-Vanishing Berry Curvature in (110) FeRh Antiferromagnet Films via Interface Strain.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Article
- Quantum Geometric Engineering of Dual Hall Effects in 2D Antiferromagnetic Bilayers via Interlayer Magnetic Coupling.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- Nonlinear transport in non-centrosymmetric systems.Nature materials · 2025Review
- Magnetic geometry induced quantum geometry and nonlinear transports.Nature communications · 2025Article
- Terahertz Radiation Driven Nonlinear Transport Phenomena in Two-Dimensional Tellurene.Nano letters · 2025Article
- Giant nonlinear Hall and wireless rectification effects at room temperature in the elemental semiconductor tellurium.Nature communications · 2024Article
- Magnetochiral tunneling in paramagnetic CoProceedings of the National Academy of Sciences of the United States of America · 2024Article
- Nonlinear transport and radio frequency rectification in BiTeBr at room temperature.Nature communications · 2024Article
- Symmetry dictionary on charge and spin nonlinear responses for all magnetic point groups with nontrivial topological nature.National science review · 2023Article
- Giant nonlinear Hall effect in twisted bilayer WSeNational science review · 2023Article
- Discovery of a Magnetic Dirac System with a Large Intrinsic Nonlinear Hall Effect.Nano letters · 2023Article
- Strong room-temperature bulk nonlinear Hall effect in a spin-valley locked Dirac material.Nature communications · 2023Article
- Room-temperature third-order nonlinear Hall effect in Weyl semimetal TaIrTeNational science review · 2022Article
- Terahertz detection based on nonlinear Hall effect without magnetic field.Proceedings of the National Academy of Sciences of the United States of America · 2021Article
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Authors and funding
5 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The nonlinear Hall effect is an unconventional response, in which a voltage can be driven by two perpendicular currents in the Hall-bar measurement. Unprecedented in the family of the Hall effects, it can survive time-reversal symmetry but is sensitive to the breaking of discrete and crystal symmetries. It is a quantum transport phenomenon that has deep connection with the Berry curvature. However, a full quantum description is still absent. Here we construct a quantum theory of the nonlinear Hall effect by using the diagrammatic technique. Quite different from nonlinear optics, nearly all the diagrams account for the disorder effects, which play decisive role in the electronic transport. After including the disorder contributions in terms of the Feynman diagrams, the total nonlinear Hall conductivity is enhanced but its sign remains unchanged for the 2D tilted Dirac model, compared to the one with only the Berry curvature contribution. We discuss the symmetry of the nonlinear conductivity tensor and predict a pure disorder-induced nonlinear Hall effect for point groups C
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