Possibility of S=1 spin liquids with fermionic spinons on triangular lattices

Details Possibility of S=1 spin liquids with fermionic spinons on triangular lattices Possibility of S=1 spin liquids with fermionic spinons on triangular lattices

2009-12-22

arxiv.org/abs/0912.4414v2

Phys. Rev. B 81, 224417 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 3 figures

Scientific paper

10.1103/PhysRevB.81.224417

In this paper we generalize the fermionic representation for $S=1/2$ spins to arbitrary spins. Within a mean field theory we obtain several spin liquid states for spin $S=1$ antiferromagnets on triangular lattices, including gapless f-wave spin liquid and topologically nontrivial $p_x+ip_y$ spin liquid. After considering different competing orders, we construct a phase diagram for the $J_1$-$J_3$-$K$ model. The application to recently discovered material $\mathrm{NiGa_2S_4}$ is discussed.

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