In this paper, we investigate the topological Hubbard model, the spinful Haldane model with on-site interaction on honeycomb lattice with spin-rotation symmetry by using the slave-rotor approach, and find that chiral spin liquid exists in such a correlated electron system of the intermediate coupling region. By considering the anyon nature of excitations, chiral spin liquid may be the ground state of the topological Hubbard model. The low-energy physics is basically determined by its Chern-Simons gauge theory.
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He et al. (2011) studied this question.
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