Equilibrium spin currents: Non-Abelian gauge invariance and color diamagnetism in condensed matter

Physical Review Letters 101, 106601 (2008)

Equilibrium spin currents: Non-Abelian gauge invariance and color diamagnetism in condensed matter

I.V. Tokatly

The spin-orbit (SO) interaction in condensed matter can be described in terms of a non-Abelian potential known in high-energy physics as a color field. I show that a magnetic component of this color field inevitably generates diamagnetic color currents which are just the equilibrium spin currents discussed in a condensed matter context. These dissipationless spin currents thus represent a universal property of systems with SO interaction. In semiconductors with linear SO coupling the spin currents are related to the effective non-Abelian field via Yang-Mills magnetostatics equation.

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http://dx.doi.org/10.1103/PhysRevLett.101.106601
arxiv
http://arxiv.org/abs/0802.1350

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