Exotic S=1 spin liquid state with fermionic excitations on triangular lattice

Abstract

Motivated by recent experiments on the material Ba_3NiSb_2O_9 we consider a spin-one quantum antiferromagnet on a triangular lattice with the Heisenberg bilinear and biquadratic exchange interactions and a single-ion anisotropy. Using a fermionic "triplon" representation for spins, we study the phase diagram within mean field theory. In addition to a fully gapped spin-liquid ground state, we find a state where one gapless triplon mode with Fermi surface coexists with d + id topological pairing of the other triplons. Despite the existence of a Fermi surface, this ground state has fully gapped bulk spin excitations. Such a state has linear in temperature specific heat and constant in plane spin susceptibility, with an unusually high Wilson ratio.

4 pages, 2 figures; v2: minor changes, few typos corrected, added inset with FS to Fig. 2

References in corpus (8)

• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Spin-Liquid State in the S = 1/2 Hyperkagome Antiferromagnet Na4Ir3O8
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Possible ferro-spin nematic order in NiGa2S4
• Spin nematics and magnetization plateau transition in anisotropic Kagome magnets
• The SU(3) bosons and the spin nematic state on the spin-1 bilinear-biquadratic triangular lattice
• Fermionic theory for quantum antiferromagnets with spin S > 1/2

Cited by in corpus (30)

• Excitonic Magnetism in Van Vleck-type d^4 Mott Insulators
• Paired chiral spin liquid with a Fermi surface in S=1 model on the triangular lattice
• Spin Liquid Phases for Spin-1 systems 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${}_9$
• Projected BCS states and spin Hamiltonians for the SO(n)_1 Wess-Zumino-Witten model
• 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
• Frustrated quantum critical theory of putative spin-liquid phenomenology in 6H-B-Ba3NiSb2O9
• Ground-state properties of the triangular-lattice Heisenberg antiferromagnet with arbitrary spin quantum number $s$
• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets
• Semi-classical simulation of spin-1 magnets
• Spin-state Crossover Model for the Magnetism of Iron Pnictides
• Spin--lattice coupling and the emergence of the trimerized phase in the $S=1$ Kagome antiferromagnet Na${}_2$Ti${}_3$Cl${}_8$
• A case study of spin-$1$ Heisenberg model in a triangular lattice
• Hexagon-singlet solid ansatz for the spin-1 kagome antiferromagnet
• Phase transitions in the two-dimensional Anisotropic Biquadratic Heisenberg Model
• Magnetic phase diagram of the spin-1 two-dimensional J1-J3 Heisenberg model on a triangular lattice
• Spin-one bilinear-biquadratic model on a star lattice
• Three-dimensional nematic spin liquid in the stacked triangular lattice 6H-B structure
• Entanglement properties of spin models in triangular lattices
• Possible spin liquid states with parton Fermi surfaces in SU(3) ring-exchange model on the triangular lattice
• 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
• Possible uniform-flux chiral spin liquid states in the SU(3) ring-exchange model on the triangular lattice
• Overscreened Kondo fixed point in S=1 spin liquid
• Evidence for a gapless Dirac spin-liquid ground state in a spin-3/2 triangular-lattice antiferromagnet
• Electrical transport and magnetic properties of the triangular-lattice compound Zr${}_2$NiP${}_2$