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

Abstract

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 $p_x+i{p}_y$ 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 $\mathrm{NiG}{\mathrm{a}}_2{\mathrm{S}}_4$ is discussed.

5 pages, 3 figures

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• Evidence for a spinon Fermi surface in the triangular S=1 quantum spin liquid Ba${}_3$NiSb${}_2$O${}_9$
• Projected BCS states and spin Hamiltonians for the SO(n)_1 Wess-Zumino-Witten model
• Fermionic theory for quantum antiferromagnets with spin S > 1/2
• Topology and Criticality in Resonating Affleck-Kennedy-Lieb-Tasaki loop Spin Liquid States
• $U(1)\times U(1)$ Symmetry Protected Topological Order in Gutzwiller Wave Functions
• Efficient tensor network representation for Gutzwiller projected states of paired fermions
• Gutzwiller Projected wavefunctions in the fermonic theory of S=1 spin chains
• A case study of spin-$1$ Heisenberg model in a triangular lattice
• Non-Abelian Chiral Spin Liquid on the Kagome Lattice
• Spin quantum Hall effects in a spin-1 topological paramagnet
• Hexagon-singlet solid ansatz for the spin-1 kagome antiferromagnet
• Coexistence of non-Abelian chiral spin liquid and magnetic order in a spin-1 antiferromagnet
• Spin dynamics and spin freezing in the triangular lattice antiferromagnets FeGa2S4 and NiGa2S4
• Magnetic Order with Fractionalized Excitations: Applications to ${\mathrm{Yb}}_2{\mathrm{Ti}}_2{\mathrm{O}}_7$
• Entanglement properties of spin models in triangular lattices
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• Phase diagram of a bilinear-biquadratic spin-1 model on the triangular lattice from density matrix renormalization group simulations
• Resonating valence bond realization of spin-1 non-Abelian chiral spin liquid on the torus
• Ground States of Heisenberg Spin Clusters from Projected Hartree-Fock Theory
• Overscreened Kondo fixed point in S=1 spin liquid
• Ordering and criticality in an underscreened Kondo chain
• Evidence for a gapless Dirac spin-liquid ground state in a spin-3/2 triangular-lattice antiferromagnet
• Hidden $SU(2)$ Symmetries, the Symmetry Hierarchy and the Emergent Eight-Fold Way in Spin-1 Quantum Magnets
• Electrical transport and magnetic properties of the triangular-lattice compound Zr${}_2$NiP${}_2$