On the conservation of spin currents in spin-orbit coupled systems

Details On the conservation of spin currents in spin-orbit coupled systems On the conservation of spin currents in spin-orbit coupled systems

2005-12-15

arxiv.org/abs/cond-mat/0512345v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, RevTeX4

Scientific paper

10.1103/PhysRevB.74.125313

Applying the Gordon-decomposition-like technique, the convective spin current (CSC) is extracted from the total angular-momentum current. The CSC describes the transport properties of the electron spin and is conserved in the relativistic quantum mechanics approach where the spin-orbit coupling has been intrinsically taken into account. Arrestingly, in the presence of external electromagnetic field, the component of the convective spin along the field remain still conserved. This conserved CSC is also derived for the first time in the nonrelativistic limit using the Foldy-Wouthuysen transformation.

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