Possible uniform-flux chiral spin liquid states in the SU(3) ring-exchange model on the triangular lattice
arXiv:1302.4512 · doi:10.1103/PhysRevB.87.205111
Abstract
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 two different three-sublattice-ordered states, the antiferro-quadrupolar phase and the standard 120^o anti-ferromagnetic phase, 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-field level, we find the main competing trial states are the trimer state (triangular plaquette state), gapped uniform π/3-flux chiral spin liquid, and gapped uniform 2π/3-flux chiral spin liquid. The filled band of the π/3-flux chiral spin liquid has Chern number +1, and that of the 2π/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.
9 pages, 6 figures. Phys. Rev. B version. arXiv admin note: text overlap with arXiv:1210.1579
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- Time-reversal symmetry breaking Abelian chiral spin liquid in Mott phases of three-component fermions on the triangular lattice
- Fermi-Hubbard model on non-bipartite lattices: flux problem and emergent chirality