Phase diagram of a bilinear-biquadratic spin-1 model on the triangular lattice from density matrix renormalization group simulations

Abstract

We investigate a highly frustrated spin-1 model on the triangular lattice, with nearest- and next-nearest-neighbor antiferromagnetic $S\cdot S$ interactions and nearest-neighbor $(S\cdot S{)}^2$ interactions. Using the density matrix renormalization group (DMRG) technique, we find three magnetically ordered phases, namely 120${}^{\circ }$ spiral order, stripe order, and tetrahedral order, as well as two spin nematic phases: ferroquadrupolar and antiferroquadrupolar. While our data could be consistent with a spin liquid phase between the 120${}^{\circ }$ spiral and antiferroquadrupolar orders, the more likely scenario is a direct continuous transition between these two orders.

arXiv comment13 pages, 8 figures, plus 13 pages (17 figures) Supplemental Material

References in corpus (65)

• The density-matrix renormalization group in the age of matrix product states
• Quantum Spin Liquids
• Quantum Spin Liquid States
• Fractionalized excitations in the spin liquid state of a kagomé lattice antiferromagnet
• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)
• Evidence for a spinon Fermi surface in a triangular lattice quantum spin liquid candidate
• Neel order in square and triangular lattice Heisenberg models
• Detection of Symmetry Protected Topological Phases in 1D
• Gapless spin-liquid phase in the kagome spin-1/2 Heisenberg antiferromagnet
• Spin liquid nature in the Heisenberg $J_1$-$J_2$ triangular antiferromagnet
• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Spin Nematic Phase in S=1 Triangular Antiferromagnets
• Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model
• Signatures of Dirac cones in a DMRG study of the Kagome Heisenberg model
• Characterizing topological order by studying the ground states of an infinite cylinder
• Chiral spin liquid in a frustrated anisotropic kagome Heisenberg model
• Chiral spin liquid phase of the triangular lattice Hubbard model: a density matrix renormalization group study
• Dirac Spin Liquid on the Spin-1/2 Triangular Heisenberg Antiferromagnet
• High pressure sequence of Ba_3NiSb_2O_9 structural phases: new $S=1$ quantum spin-liquids based on Ni^{2+}
• Higher-order exchange interactions in two-dimensional magnets
• Generic Construction of Efficient Matrix Product Operators
• The phase diagram of the anisotropic spin-2 XXZ model: an infinite system DMRG study
• Quantum spin liquid signatures in Kitaev-like frustrated magnets
• Three-sublattice order in the SU(3) Heisenberg model on the square and triangular lattice
• Possible ferro-spin nematic order in NiGa2S4
• Quadrupolar correlations and spin freezing in S = 1 triangular lattice antiferromagnets
• Waves in the unseen : theory of spin excitations in a quantum spin nematic
• Four-Spin Terms and the Origin of the Chiral Spin Liquid in Mott Insulators on the Triangular Lattice
• Absence of magnetic thermal conductivity in the quantum spin liquid candidate EtMe3Sb[Pd(dmit)2]2 -- revisited
• Transfer Matrices and Excitations with Matrix Product States
• Spin dynamics and spin freezing behavior in the two-dimensional antiferromagnet NiGa${}_2$S${}_4$ revealed by Ga-NMR, NQR and $\mu$SR measurements
• Thermal conductivity of the quantum spin liquid candidate EtMe3Sb[Pd(dmit)2]2: No evidence of mobile gapless excitations
• Fractionalized excitations in the partially magnetized spin liquid candidate YbMgGaO4
• Hybridized quadrupolar excitations in the spin-anisotropic frustrated magnet FeI2
• Paired chiral spin liquid with a Fermi surface in S=1 model on the triangular lattice
• Stiefel Liquids: Possible Non-Lagrangian Quantum Criticality from Intertwined Orders
• Topological characterization of Lieb-Schultz-Mattis constraints and applications to symmetry-enriched quantum criticality
• Quantum Magnetization Plateau in Spin-1 Triangular-Lattice Antiferromagnet Ba${}_3$NiSb${}_2$O${}_9$
• Phase diagram of the anisotropic triangular lattice Hubbard model
• The effect of spin-orbit coupling on the effective-spin correlation in YbMgGaO4
• Unusual superexchange pathways in a Ni triangular lattice of NiGa${}_2$S${}_4$ with negative charge-transfer energy
• Exotic S=1 spin liquid state with fermionic excitations on triangular lattice
• Evidence for a spinon Fermi surface in the triangular S=1 quantum spin liquid Ba${}_3$NiSb${}_2$O${}_9$
• The SU(3) bosons and the spin nematic state on the spin-1 bilinear-biquadratic triangular lattice
• A ground state study of the spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice using tensor networks
• Coherent Behavior and Nonmagnetic Impurity Effects of the Spin Disordered State in NiGa${}_2$S${}_4$
• Abelian SU$(N{)}_1$ Chiral Spin Liquids on the Square Lattice
• Unconventional spin freezing and fluctuations in the frustrated antiferromagnet NiGa2S4
• Absence of magnetic ordering in NiGa_2S_4
• Possibility of S=1 spin liquids with fermionic spinons on triangular lattices
• A tensor network study of the complete ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on the square lattice
• Spin nematic ground state of the triangular lattice S=1 biquadratic model
• Quantum Phases of Transition Metal Dichalcogenide Moiré Systems
• A non-abelian spin-liquid in a spin-1 quantum magnet
• Quantum spin state transitions in spin-1 equilateral triangular lattice antiferromagnet Na${}_2$BaNi(PO${}_4$)${}_2$
• A case study of spin-$1$ Heisenberg model in a triangular lattice
• Successive phase transitions and quantum magnetization plateau in the spin-1 triangular-lattice antiferromagnet Ba${}_2$La${}_2$NiTe${}_2$O${}_{12}$
• Chiral liquid phase of simple quantum magnets
• Nematic Spin Liquid Phase in a Frustrated Spin-1 System on the Square Lattice
• Density Matrix Renormalization Group Study of Nematicity in Two Dimensions: Application to a Spin-$1$ Bilinear-Biquadratic Model on the Square Lattice
• The spin-1 two-dimensional J1-J2 Heisenberg antiferromagnet on a triangular lattice
• Phases of frustrated quantum antiferromagnets on the square and triangular lattices

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