Antiferromagnetic order driven chiral topological spin density waves on the repulsive Haldane–Hubbard model on square lattices

Abstract

In this paper, based on mean-field approach and random-phase-approximation, we study the magnetic properties of the repulsive Haldane–Hubbard model on a square lattice. We find antiferromagnetic order driven topological spin density waves beyond Landau’s symmetry-breaking paradigm, for which the effective low energy physics is determined by Chern–Simons–Hopf gauge field theories with different K matrices.