Classical Yang-Mills theory in condensed matter physics

Abstract

Recently, gauge field theory approaches were extensively used in order to discuss the physical consequences of spin-orbit interactions in condensed matter physics. An SU(2)$\times$U(1) gauge theory is very naturally borne out and provides an illustrative example of a classical Yang-Mills field theory at work. This approach may serve as an exemplification of non-Abelian field theories for students in general physics curriculum. It allows to introduce discussions on fundamental ideas like Noether currents, gauge symmetry principle, gauge symmetry breaking and non linear Yang Mills equations in very concrete physical situations that makes it accessible to a broad audience.

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• Spin superfluidity and spin-orbit gauge symmetry fixing
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Cited by in corpus (12)

• Spin-polarized supercurrents for spintronics: a review of current progress
• Theory of the spin-galvanic effect and the anomalous phase-shift ${\phi }_0$ in superconductors and Josephson junctions with intrinsic spin-orbit coupling
• U(1)$\times$SU(2) Gauge Invariance Made Simple for Density Functional Approximations
• Ballistic Josephson junctions in the presence of generic spin dependent fields
• Spin-orbit induced equilibrium spin currents in materials
• Impurity-induced orbital magnetization in a Rashba electron gas
• Gauge transformations of Spin-Orbit interactions in graphene
• Spin current generation and control in carbon nanotubes by combining rotation and magnetic field
• Using torsion to manipulate spin currents
• Insights into the orbital magnetism of noncollinear magnetic systems
• Pure Gauge Spin-Orbit Couplings
• Solution of the Klein-Gordon equation in external Yang-Mills gauge field