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Quantum theory of the nonlinear Hall effect

Physics

Quantum theory of the nonlinear Hall effect

Z. Z. Du, C. M. Wang, et al.

Explore a groundbreaking quantum theory of the nonlinear Hall effect that meticulously incorporates disorder effects, crucial for understanding electronic transport. This innovative work by Z. Z. Du, C. M. Wang, Hai-Peng Sun, Hai-Zhou Lu, and X. C. Xie reveals how disorder enhances the nonlinear Hall conductivity while preserving its sign, opening new vistas in 2D and 3D analytical physics.

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Playback language: English
Abstract
This paper constructs a quantum theory of the nonlinear Hall effect using the diagrammatic technique. Unlike previous semiclassical theories, this work explicitly incorporates disorder effects, which are shown to be crucial for electronic transport. The analysis includes 69 Feynman diagrams representing intrinsic, side-jump, and skew-scattering contributions. Applying the theory to a 2D tilted Dirac model reveals that disorder enhances the nonlinear Hall conductivity while preserving its sign. A symmetry analysis predicts a pure disorder-induced nonlinear Hall effect for specific point groups in 2D and 3D.
Publisher
Nature Communications
Published On
Aug 19, 2021
Authors
Z. Z. Du, C. M. Wang, Hai-Peng Sun, Hai-Zhou Lu, X. C. Xie
Tags
quantum theory
nonlinear Hall effect
disorder effects
electronic transport
Feynman diagrams
Dirac model
conductivity

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