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Main Authors: Guo, Ruda, Liu, Yi, Xiao, Cong, Yuan, Zhe
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2604.20592
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author Guo, Ruda
Liu, Yi
Xiao, Cong
Yuan, Zhe
author_facet Guo, Ruda
Liu, Yi
Xiao, Cong
Yuan, Zhe
contents We develop a theory for the second-order time-reversal-odd ($\mathcal{T}$-odd) angular-momentum current, incorporating both spin and orbital components. We reveal that besides spin and orbital Berry curvature dipoles, $\mathcal{T}$-odd nonlinear angular-momentum current can originate from disorder-induced mechanisms including coordinate shift, side-jump spin and orbital currents, anomalous scattering amplitude, and skew scattering. A general scaling relation is derived to help distinguish some of these contributions in experiments. Model calculations demonstrate that the orbital component can be comparable to and much larger than the spin component. Our theory lays the groundwork for $\mathcal{T}$-odd nonlinear spin and orbital transport.
format Preprint
id arxiv_https___arxiv_org_abs_2604_20592
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Disorder induced time-reversal-odd nonlinear spin and orbital Hall effects
Guo, Ruda
Liu, Yi
Xiao, Cong
Yuan, Zhe
Mesoscale and Nanoscale Physics
We develop a theory for the second-order time-reversal-odd ($\mathcal{T}$-odd) angular-momentum current, incorporating both spin and orbital components. We reveal that besides spin and orbital Berry curvature dipoles, $\mathcal{T}$-odd nonlinear angular-momentum current can originate from disorder-induced mechanisms including coordinate shift, side-jump spin and orbital currents, anomalous scattering amplitude, and skew scattering. A general scaling relation is derived to help distinguish some of these contributions in experiments. Model calculations demonstrate that the orbital component can be comparable to and much larger than the spin component. Our theory lays the groundwork for $\mathcal{T}$-odd nonlinear spin and orbital transport.
title Disorder induced time-reversal-odd nonlinear spin and orbital Hall effects
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2604.20592