Journal
PHYSICAL REVIEW B
Volume 74, Issue 15, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.74.155307
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Spin current defined conventionally, namely, the spin density multiplied by the group velocity, is not a conserved quantity due to possible spin rotations caused by spin-orbit 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 nonconservation problem of the 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 the spin current into different leads of a multilead conductor.
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