Abstract
In this paper, we present a study on the repulsive Haldane–Hubbard model with spin-rotation symmetry in square lattices by deriving non-linear σ model for magnetic states. It is found that a chiral spin liquid state as the ground state of the correlated system exists in the topological spin-density wave proposed by Wu et al (2016 J. Phys.: Condens. Matter 28 115602), of which the low energy physics can be determined by the Chern–Simons–Hopf gauge field theory.
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