Topological spin density waves in the Hubbard model on a honeycomb lattice

In this paper, we investigate the topological Hubbard model on a honeycomb lattice. New types of quantum states-topological spin-density waves-are explored, for which the low-energy physics is solely determined by Chern-Simons-Hopf gauge field theories with different K matrices. In the formulism of topological field theory, we studied the charge-flux binding effects, edge states, and quantized Hall effects in different topological spin-density waves.