In this paper, we investigate the topological Hubbard model on honeycomb lattice. By considering the topological properties of the magnetic state, new types of quantum states - A-type and B-type topological spin-density-waves (A-TSDW and B-TSDW) are explored. The low energy physics is solely determined by its Chern-Simons-Hopf gauge field theories with different K-matrices. In the formulism of topological field theory, we found spin-charge separated charge-flux binding effect for A-TSDW and spin-charge synchronized charge-flux binding effect for B-TSDW. In addition, we studied the edge states and quantized Hall effect in different TSDWs.
@article{arxiv.1104.3601,
title = {Topological Spin Density Wave},
author = {Jing He and Yan-Hua Zong and Su-Peng Kou and Ying Liang and Shiping Feng},
journal= {arXiv preprint arXiv:1104.3601},
year = {2011}
}