Pei-Qing Jin et al 2006 J. Phys. A: Math. Gen. 39 7115 doi:10.1088/0305-4470/39/22/022
SU(2) × U(1) unified theory for charge, orbit and spin currents
Pei-Qing Jin1, You-Quan Li1 and Fu-Chun Zhang1,2
Show affiliationsSpin and charge currents in systems with Rashba or Dresselhaus spin–orbit couplings are formulated in a unified version of four-dimensional SU(2) × U(1) gauge theory, with U(1) being the Maxwell field and SU(2) being 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.
- PACS
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12.10.-g Unified field theories and models
- MSC
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81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
- Subjects
- Dates
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Issue 22 (2 June 2006)
Received 9 November 2005
Published 16 May 2006
A Corrigendum for this article has been published in 2006 J. Phys. A: Math. Gen. 39 11129
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SU(2) × U(1) unified theory for charge, orbit and spin currents
Pei-Qing Jin et al 2006 J. Phys. A: Math. Gen. 39 7115
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