We show theoretically that conversion between spin and charge by spin-orbit interaction in metals occurs even in a non-local setup where magnetization and spin-orbit interaction are spatially separated if electron diffusion is taken into account. Calculation is carried out for the Rashba spin-orbit interaction treating the coupling with a ferromagnet perturbatively. The results indicate the validity of the concept of effective spin gauge field (spin motive force) in the non-local configuration. The inverse Rashba-Edelstein effect observed for a trilayer of a ferromagnet, a normal metal and a heavy metal can be explained in terms of the non-local effective spin gauge field.
@article{arxiv.1812.08884,
title = {Non-local Spin-charge Conversion via Rashba Spin-Orbit Interaction},
author = {Junji Fujimoto and Gen Tatara},
journal= {arXiv preprint arXiv:1812.08884},
year = {2019}
}