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 ω - 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.
@article{arxiv.1108.1899,
title = {Nonlinear spin Hall effect in GaAs (110) quantum wells},
author = {V. I. Ivanov and V. K. Dugaev and E. Ya. Sherman and J. Barnas},
journal= {arXiv preprint arXiv:1108.1899},
year = {2015}
}