Hopf terms govern phases in 2D metals near fluctuating magnetic and spin loop-current orders, realizing an SU(2)-protected topological phase with gapped bulk, chiral edges, and quantized spin-Hall conductance.
Haldane, Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model, Phys
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Hopf symmetry protected topological phases in the vicinity of spin orders
Hopf terms govern phases in 2D metals near fluctuating magnetic and spin loop-current orders, realizing an SU(2)-protected topological phase with gapped bulk, chiral edges, and quantized spin-Hall conductance.