SU(2)xU(1) unified theory for charge, orbit and spin currents

Details SU(2)xU(1) unified theory for charge, orbit and spin currents SU(2)xU(1) unified theory for charge, orbit and spin currents

2005-02-09

arxiv.org/abs/cond-mat/0502231v4

J. Phys. A: Math. Gen. 39 (2006) 7115-7123.

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Revtex, 6 pages, section IV revised, to be published in Journal of Physics A

Scientific paper

10.1088/0305-4470/39/22/022

Spin and charge currents in systems with Rashba or Dresselhaus spin-orbit couplings are formulated in a unified version of four-dimensional SU(2)$\times$U(1) gauge theory, with U(1) the Maxwell field and SU(2) the Yang-Mills field. While the bare spin current is non-conserved, it is compensated by a contribution from the SU(2) gauge field, which gives rise to a spin torque in the spin transport, consistent with the semi-classical theory of Culcer et al. Orbit current is shown to be non-conserved in the presence of electromagnetic fields. Similar to the Maxwell field inducing forces on charge and charge current, we derive forces acting on spin and spin current induced by the Yang Mills fields such as the Rashba and Dresselhaus fields and the sheer strain field. The spin density and spin current may be considered as a source generating Yang-Mills field in certain condensed matter systems.

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