Nonlinear spin Hall effect in GaAs (110) quantum wells
V. I. Ivanov, V. K. Dugaev, E. Ya. Sherman, and J. Barnas

TL;DR
This paper investigates how a nonlinear external electric field induces a stationary pure spin current in GaAs (110) quantum wells through spin-orbit interactions, revealing a quadratic dependence on the field amplitude.
Contribution
It introduces a model combining Dresselhaus and random Rashba spin-orbit couplings to explain nonlinear spin current generation in GaAs quantum wells.
Findings
Spin current is proportional to the square of the electric field amplitude.
Virtual spin-flip transitions are responsible for the stationary spin current.
The model accounts for both uniform Dresselhaus and random Rashba interactions.
Abstract
We consider stationary spin current in a (110)-oriented GaAs-based symmetric quantum well due to a nonlinear response to an external periodic electric field. The model assumed includes the Dresselhaus spin-orbit interaction and the random Rashba spin-orbit coupling. The Dresselhaus term is uniform in the quantum well plane and gives rise to spin splitting of the electron band. The external electric field of frequency - in the presence of random Rashba coupling -- leads to virtual spin-flip transitions between spin subbands, generating stationary pure spin current proportional to the square of the field amplitude.
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