Disorder induced time-reversal-odd nonlinear spin and orbital Hall effects
Ruda Guo, Yi Liu, Cong Xiao, Zhe Yuan
TLDR
This paper theorizes disorder-induced time-reversal-odd nonlinear spin and orbital Hall effects, identifying new mechanisms and scaling relations.
Key contributions
- Develops a theory for second-order time-reversal-odd angular-momentum current, including spin and orbital components.
- Identifies disorder-induced mechanisms like coordinate shift, side-jump currents, and skew scattering for T-odd effects.
- Derives a general scaling relation to experimentally distinguish various disorder-induced contributions.
- Shows the orbital component of the angular-momentum current can significantly exceed the spin component.
Why it matters
This research provides a foundational theory for understanding complex time-reversal-odd spin and orbital transport. It details disorder-induced mechanisms and offers experimental distinguishing tools, opening new avenues for manipulating angular momentum in materials. This could impact future spintronic and orbitronic device development.
Original Abstract
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.
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