Spin Liquid Phases for Spin-1 systems on the Triangular lattice

Abstract

Motivated by recent experiments on material Ba3NiSb2O9, we propose two novel spin liquid phases (A and B) for spin-1 systems on a triangular lattice. At the mean field level, both spin liquid phases have gapless fermionic spinon excitations with quadratic band touching, thus in both phases the spin susceptibility and C_v/T saturate to a constant at zero temperature, which are consistent with the experimental results on Ba3NiSb2O9. On the lattice scale, these spin liquid phases have Sp(4) ~ SO(5) gauge fluctuation; while in the long wavelength limit this Sp(4) gauge symmetry is broken down to U(1)xZ_2 in type A spin liquid phase, and broken down to Z_4 in type B phase. We also demonstrate that the $A$ phase is the parent state of the ferro-quadrupole state, nematic state, and the noncollinear spin density wave state.

5 pages, 1 figure

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Cited by in corpus (43)

• Quantum Spin Liquid States
• Projective non-Abelian Statistics of Dislocation Defects in a Z_N Rotor Model
• Projective symmetry group classification of chiral spin liquids
• Theory of a competitive spin liquid state for weak Mott insulators on the triangular lattice
• Lieb-Schultz-Mattis Theorem and its generalizations from the Perspective of the Symmetry Protected Topological phase
• Diagnosing phases of magnetic insulators via noise magnetometry with spin qubits
• Paired chiral spin liquid with a Fermi surface in S=1 model on the triangular lattice
• Detecting spin fractionalization in a spinon Fermi surface spin liquid
• Singlet Ground State of the Quantum Antiferromagnet Ba3CuSb2O9
• Evidence for a spinon Fermi surface in the triangular S=1 quantum spin liquid Ba${}_3$NiSb${}_2$O${}_9$
• Topological Paramagnetism in Frustrated Spin-One Mott Insulators
• Skyrmions with quadratic band touching fermions: A way to achieve charge 4e superconductivity
• Three dimensional Symmetry Protected Topological Phase close to Antiferromagnetic Neel order
• Topology and Criticality in Resonating Affleck-Kennedy-Lieb-Tasaki loop Spin Liquid States
• A ground state study of the spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice using tensor networks
• Gapless Spin Liquids: Stability and Possible Experimental Relevance
• Frustrated quantum critical theory of putative spin-liquid phenomenology in 6H-B-Ba3NiSb2O9
• Disorder driven spin-orbital liquid behaviour in the Ba${}_3$XSb${}_2$O${}_9$ materials
• Ground-state properties of the triangular-lattice Heisenberg antiferromagnet with arbitrary spin quantum number $s$
• Spin nematic ground state of the triangular lattice S=1 biquadratic model
• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets
• Semi-classical simulation of spin-1 magnets
• Possible Nematic Spin Liquid in Spin-$1$ Antiferromagnetic System on the Square Lattice: Implication for the Nematic Paramagnetic State of FeSe
• Quantum solitons with emergent interactions in a model of cold atoms on the triangular lattice
• Non-Abelian Chiral Spin Liquid on the Kagome Lattice
• A case study of spin-$1$ Heisenberg model in a triangular lattice
• Symmetric $\mathrm{U}(1)$ and ${\mathbb{Z}}_2$ spin liquids on the pyrochlore lattice
• Two dimensional Symmetry Protected Topological Phases with PSU(N) and time reversal symmetry
• Hexagon-singlet solid ansatz for the spin-1 kagome antiferromagnet
• Featureless quantum paramagnet with frustrated criticality and competing spiral magnetism on spin-1 honeycomb lattice magnet
• Symmetry protected gapless $Z_2$ spin liquids
• Three-dimensional nematic spin liquid in the stacked triangular lattice 6H-B structure
• Entanglement properties of spin models in triangular lattices
• Gutzwiller Approach for Elementary Excitations in $S=1$ Antiferromagnetic Chains
• Possible spin liquid states with parton Fermi surfaces in SU(3) ring-exchange model on the triangular lattice
• Quantum spiral spin-tensor magnetism
• Theory of Dirac Spin-Orbital Liquids: monopoles, anomalies, and applications to $SU(4)$ honeycomb models
• 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
• Quantum-critical electrodynamics of Luttinger fermions
• Majorana Fermi surface state in a network of quantum spin chains
• Electrical transport and magnetic properties of the triangular-lattice compound Zr${}_2$NiP${}_2$