Variational approach to the stationary spin-Hall effect
Mesoscale and Nanoscale Physics
2018-12-05 v1
Abstract
The Kirchhoff-Helmholtz principle of least heat dissipation is applied in order to derive the stationary state of the spin-Hall effect. Spin-accumulation due to spin-orbit interaction, spin-flip relaxation, and electrostatic interaction due to charge accumulation are treated on an equal footing. A nonlinear differential equation is derived, that describes both surface and bulk currents and spin-dependent chemical potentials. It is shown that if the ratio of the spin-flip relaxation length over the Debye-Fermi length is small, the stationary state is defined by a linear spin-accumulation potential and zero pure spin-current.
Cite
@article{arxiv.1803.08891,
title = {Variational approach to the stationary spin-Hall effect},
author = {Jean-Eric Wegrowe and Pierre-Michel Dejardin},
journal= {arXiv preprint arXiv:1803.08891},
year = {2018}
}
Comments
10 pages, 1 figure