1302.4512 (Hsin-Hua Lai)

Possible chiral spin liquid state with Chern number 2 in the SU(3)
ring-exchange model on the triangular lattice    [PDF]

Hsin-Hua Lai

We consider a SU(3) model with antiferromagnetic three-site ring exchanges, in addition to two-site exchanges, on the triangular lattice. We first present numerical site-factorized state studies on the magnetic ordered states, which shows only three-sublattice order along the axis of the strength of the three-site ring exchanges. We further study the model using slave-fermion mean field approaches in which we rewrite the exchange operators in terms of three flavors of fermions. At the mean-filed level, we find the main competing trial states are the trimer state (triangular plaquette state), gapped uniform \pi/3-flux chiral spin liquid, and gapped uniform 2\pi/3-flux chiral spin liquid. At the mean-field level, the filled band of the \pi/3-flux chiral spin liquid has Chern number +1, and that of the 2\pi/3-flux chiral spin liquid has Chern number +2. We also give the effective Chern-Simons theory for each chiral spin liquid at the mean-field level.

View original: http://arxiv.org/abs/1302.4512