Understanding spin transport from the motion in SU(2)$\times$U(1) fields

Details Understanding spin transport from the motion in SU(2)$\times$U(1) fields Understanding spin transport from the motion in SU(2)$\times$U(1) fields

2008-03-07

arxiv.org/abs/0803.1101v1

Phys. Rev. B 77, 155304 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 4 figures; this is the extended version of Xiv:cond-mat/0608303 to publish in PRB

Scientific paper

10.1103/PhysRevB.77.155304

Starting from a continuum constituted by charged tops, we formulate the classical counterpart of a previously obtained covariant continuity-like equation for the spin current. Such a formulism provides an intuitive picture to elucidate the non-conservation of the spin current and to interpret the condition for the emergence of an infinite spin relaxation time. It also facilitates the discussion on the spin precession in a one-dimensional quantum wire with Dresselhaus and Rashba spin-orbit couplings. Furthermore, we derive the diffusion equations for both the charge and spin densities and find that they couple to each other due to the Zitterbewegung.

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