Conservation of spin current
Mesoscale and Nanoscale Physics
2007-05-23 v2
Abstract
The conventional definition of spin-current, namely spin density multiplied by the group velocity, is not a conserved quantity due to possible spin rotations caused by spin-orbit (SO) interaction. However, in a model with spin-spin interactions, rotation of a spin causes a dynamic response of surrounding spins that opposes the rotation. Such a many-body effect restores the spin-current conservation. Here we prove that the non-conservation problem of spin-current can be resolved if a self-consistent spin-spin interaction is included in the analysis. We further derive a spin-conductance formula which partitions spin-current into different leads of a multi-lead conductor.
Keywords
Cite
@article{arxiv.cond-mat/0507159,
title = {Conservation of spin current},
author = {Jian Wang and Baigeng Wang and Wei Ren and Hong Guo},
journal= {arXiv preprint arXiv:cond-mat/0507159},
year = {2007}
}