Spin Nematic Phase in S=1 Triangular Antiferromagnets

Abstract

Spin nematic order is investigated for a S=1 spin model on triangular lattice with bilinear-biquadratic interactions. We particularly studied an antiferro nematic order phase with three-sublattice structure, and magnetic properties are calculated at zero temperature by means of bosonization. Two types of bosonic excitations are found. One is a gapless excitation with linear energy dispersion around $k\sim 0$, and this leads to a finite spin susceptibility at T=0 and would have a specific heat $C(T)\sim T^2$ at low temperatures. These behaviors can explain many of characteristic features of recently discovered spin liquid state in the triangular magnet, NiGa2S4.

Cited by in corpus (163)

• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Exotic phases induced by strong spin-orbit coupling in ordered double perovskites
• Magnon pairing in quantum spin nematic
• Spin nematic correlations in bilinear-biquadratic S=1 spin chains
• Spin-orbit coupling in $d^2$ ordered double perovskites
• Antiferroquadrupolar and Ising-Nematic Orders of a Frustrated Bilinear-Biquadratic Heisenberg Model and Implications for the Magnetism of FeSe
• Three-sublattice ordering of the SU(3) Heisenberg model of three-flavor fermions on the square and cubic lattices
• 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
• Frustrated two dimensional quantum magnets
• Waves in the unseen : theory of spin excitations in a quantum spin nematic
• SU(N) magnetism in chains of ultracold alkaline-earth-metal atoms: Mott transitions and quantum correlations
• NMR relaxation rate and dynamical structure factors in nematic and multipolar liquids of frustrated spin chains under magnetic fields
• Spin dynamics and spin freezing behavior in the two-dimensional antiferromagnet NiGa${}_2$S${}_4$ revealed by Ga-NMR, NQR and $\mu$SR measurements
• Phase diagram and collective excitation in excitonic insulator: from the orbital physics viewpoint
• One-dimensional magnetic fluctuations in the spin-2 triangular lattice α-NaMnO2
• Competing spin liquids and hidden nematic order in spin ice with frustrated transverse exchange
• SU(2) slave-boson formulation of spin nematic states in S=1/2 frustrated ferromagnets
• Competition between two- and three-sublattice ordering for S=1 spins on the square lattice
• Paired chiral spin liquid with a Fermi surface in S=1 model on the triangular lattice
• Excitations and quasi-one-dimensionality in field-induced nematic and spin density wave states
• Spin Liquid Phases for Spin-1 systems on the Triangular lattice
• Incommensurate short-range order in the S=1 triangular antiferromagnet NiGa2S4
• Generalized spin-wave theory: application to the bilinear-biquadratic model
• Quantum and Thermal Phase Transitions of the Triangular SU(3) Heisenberg Model under Magnetic Fields
• Exotic S=1 spin liquid state with fermionic excitations on triangular lattice
• Vortex-induced topological transition of the bilinear-biquadratic Heisenberg antiferromagnet on the triangular lattice
• Phase diagram and continuous pair-unbinding transition of the bilinear-biquadratic S=1 Heisenberg chain in a magnetic field
• Spin nematic order in antiferromagnetic spinor condensates
• Emergent Haldane phase in the $S=1$ bilinear-biquadratic Heisenberg model on the square lattice
• Topological Paramagnetism in Frustrated Spin-One Mott Insulators
• The SU(3) bosons and the spin nematic state on the spin-1 bilinear-biquadratic triangular lattice
• Ghost in the machine: Theory of inelastic neutron scattering in a field-induced spin-nematic state
• Signature of a Z_2 vortex in the dynamical correlations of the triangular-lattice Heisenberg antiferromagnet
• Fermionic theory for quantum antiferromagnets with spin S > 1/2
• A ground state study of the spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice using tensor networks
• Quantum coherence and spin nematic to nematic quantum phase transitions in biquadratic spin-1 and -2 XY chains with rhombic single-ion anisotropy
• Spin Nematics Meet Spin Liquids: Exotic Quantum Phases in the Spin-$1$ Bilinear-Biquadratic Model with Kitaev Interactions
• Short-range magnetic ordering process for the triangular lattice compound NiGa2S4: a positive muon spin rotation and relaxation study
• Spin nematic order in multiple-spin exchange models on the triangular lattice
• Absence of magnetic ordering in NiGa_2S_4
• Spontaneous trimerization in a bilinear-biquadratic S=1 zig-zag chain
• Possibility of S=1 spin liquids with fermionic spinons on triangular lattices
• Theory of inelastic light scattering in spin-1 systems: resonant regimes and detection of quadrupolar order
• Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model
• Magnetic Excitations of Spin Nematic State in Frustrated Ferromagnetic Chain
• Pairing of Solitons in Two-Dimensional S=1 Magnets
• A tensor network study of the complete ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on the square lattice
• Competition between supersolid phases and magnetisation plateaux in the frustrated easy-axis antiferromagnet on a triangular lattice
• High Field ESR in the Two-Dimensional Triangular Lattice Antiferromagnet NiGa2S4
• First-Order Transition to Incommensurate Phase with Broken Lattice Rotation Symmetry in Frustrated Heisenberg Model
• Magnetic soft modes in the locally distorted triangular antiferromagnet alpha-CaCr2O4
• Semi-classical simulation of spin-1 magnets
• Spin nematic ground state of the triangular lattice S=1 biquadratic model
• Soft striped magnetic fluctuations competing with superconductivity in Fe_{1+x}Te
• Spin-state Crossover Model for the Magnetism of Iron Pnictides
• Quantum Elliptic Vortex in a Nematic-Spin Bose-Einstein Condensate
• Dynamical Jahn-Teller Effect in Spin-Orbital Coupled System
• Spectral evidence of a ghostly transition: Theory of NMR 1/T_1 relaxation in a quantum spin nematic in applied magnetic field
• Quantum solitons with emergent interactions in a model of cold atoms on the triangular lattice
• Gutzwiller Projected wavefunctions in the fermonic theory of S=1 spin chains
• Dynamical spin structure factors of quantum spin nematic states
• Halperin-Saslow modes as the origin of the low temperature anomaly in $NiG{a}_2{S}_4$
• A non-abelian spin-liquid in a spin-1 quantum magnet
• Linear Flavor-Wave Theory for Fully Antisymmetric $\mathrm{SU}(N)$ Irreducible Representations
• Classification of nematic order in 2+1D: Dislocation melting and $O(2)/Z_N$ lattice gauge theory
• Bose-Einstein condensation of a two-magnon bound state in a spin-one triangular lattice
• Spin dynamics of the bilinear-biquadratic $S=1$ Heisenberg model on the triangular lattice: a quantum Monte Carlo study
• Highly frustrated magnetism in relativistic ${\mathbf{d}}^4$ Mott insulators: Bosonic analog of Kitaev honeycomb model
• High Field ESR and Magnetization of the Triangular Lattice Antiferromagnet NiGa2S4
• Effect of anisotropy on the ground-state magnetic ordering of the spin-one quantum $J_1^{XXZ}$--$J_2^{XXZ}$ model on the square lattice
• Spin Fluctuations from Hertz to Terahertz on a Triangular Lattice
• $\mathbb{C}{P}^2$ Skyrmion Crystals in an SU(3) Magnet with a Generalized Dzyaloshinskii-Moriya Interaction
• Structure of Spin Correlations in High Temperature SU($N$) Quantum Magnets
• Spin nematic phase in (quasi-)one-dimensional frustrated magnet in strong magnetic field
• Magnetic structure of the spin-1/2 frustrated quasi-one-dimensional antiferromagnet Cu3Mo2O9: Appearance of a partial disordered state
• First-Order Phase Transition with Breaking of Lattice Rotation Symmetry in Continuous-Spin Model on Triangular Lattice
• Coupling of phonons and spin waves in triangular antiferromagnet
• Magnetic order in spin-1 and spin-3/2 interpolating square-triangle Heisenberg antiferromagnets
• Time-reversal symmetry breaking Abelian chiral spin liquid in Mott phases of three-component fermions on the triangular lattice
• Phase diagram of the spin-1 Heisenberg model with three-site interactions on the square lattice
• Spin and quadrupolar orders in the spin-1 bilinear-biquadratic model for iron-based superconductors
• Spin dynamics and spin freezing in the triangular lattice antiferromagnets FeGa2S4 and NiGa2S4
• Origin of Biquadratic Exchange Interactions in a Mott Insulator as a Driving Force of Spin Nematic Order
• Superconductivity in a layered cobalt oxychalcogenide Na${}_2$CoSe${}_2$O with a triangular lattice
• Flavor-wave theory with quasiparticle damping at finite temperatures: Application to chiral edge modes in the Kitaev model
• Range of biquadratic and triquadratic Heisenberg effective couplings deduced from multiorbital Hubbard models
• Electron spin resonance for the detection of long-range spin nematic order
• Rb-NMR study of the quasi-one dimensional competing spin-chain compound Rb2Cu2Mo3O12
• Orientational order parameters for arbitrary quantum systems
• Phase diagrams and excitations of anisotropic $S=1$ quantum magnets on the triangular lattice
• Eight-color chiral spin liquid in the $S=1$ bilinear-biquadratic model with Kitaev interactions
• Topological Quantum Liquids with Quaternion Non-Abelian Statistics
• Thermal Hall effect incorporating magnon damping in localized spin systems
• Probing Hidden Orders with Resonant Inelastic X-Ray Scattering
• The emergence of Resonating Valence Bond physics in spin-orbital models
• Spiral magnetic structure in spin-5/2 frustrated trimerized chains in SrMn3P4O14
• Spontaneous dimerization in the spin-1 bilinear-biquadratic Heisenberg model on a honeycomb lattice
• Topological terms of (2+1)d flag-manifold sigma models
• A hybrid vanadium fluoride with structurally isolated S = 1 kagome layers
• Novel quantum phase of the chromium spinel oxide HgCr${}_2$O${}_4$ in high magnetic fields
• Magnetic correlations in triangular antiferromagnet FeGa${}_2$S${}_4$
• Symmetry breaking in low-dimensional SU(N) antiferromagnets
• Spontaneous dimerization, spin-nematic order, and deconfined quantum critical point in a spin-1 Kitaev chain with tunable single-ion anisotropy
• Unusual double-peak specific heat and spin freezing in a spin-2 triangular lattice antiferromagnet FeAl${}_2$Se${}_4$
• Zeeman split Kramers doublets in spin-supersolid candidate Na${}_2$BaCo(PO${}_4$)${}_2$
• Pronounced 2/3 magnetization plateau in a frustrated $S$ = 1 isolated spin-triangle compound: Interplay between Heisenberg and biquadratic exchange interactions
• Gravitational wave analogues in spin nematics and cold atoms
• Possible spin liquid states with parton Fermi surfaces in SU(3) ring-exchange model on the triangular lattice
• Field-induced spin nematic Tomonaga-Luttinger liquid of the $S=1/2$ spin ladder system with the anisotropic ferromagnetic rung interaction
• Theory of Impurity Effects on the Spin Nematic State
• Abundant quadrupolar or nematic phases driven by the Heisenberg interactions in a spin-1 dimer system forming a bilayer
• SU($N$) altermagnetism: Lattice models, magnon modes, and flavor-split bands
• Phase diagram of a bilinear-biquadratic spin-1 model on the triangular lattice from density matrix renormalization group simulations
• High temperature non-collinear magnetism in a classical bilinear-biquadratic Heisenberg model
• Quantum spiral spin-tensor magnetism
• Spin nematics next to spin singlets
• Quantum phase transition between spin liquid and spin nematics in spin-1 Kitaev honeycomb model
• Multiple-$q$ dipole-quadrupole instability in spin-1 triangular-lattice systems
• Possible Observation of Quadrupole Waves in Spin Nematics
• Chirality-spin separation in the Hubbard model on the kagome lattice
• Finite temperature thermodynamic properties of the spin-1 nematics in an applied magnetic field
• Engineering of a Low-Entropy Quantum Simulator for Strongly Correlated Electrons Using SU($\mathcal{N}$)-Symmetric Cold Atom Mixtures
• Unconventional Gross-Neveu quantum criticality: Interaction-induced SO(3)-biadjoint insulator and emergent SU(3) symmetry
• Hybrid models for complex fluids with multipolar interactions
• Adaptive variational ground state preparation for spin-1 models on qubit-based architectures
• Degeneracy and ordering of the non-coplanar phase of the classical bilinear-biquadratic Heisenberg model on the triangular lattice
• Zero-temperature Monte Carlo study of the non-coplanar phase of the classical bilinear-biquadratic Heisenberg model on the triangular lattice
• Incommensurate Phase of a Triangular Frustrated Heisenberg Model Studied via Schwinger-Boson Mean-Field Theory
• Topological edge states in spin 1 bilinear-biquadratic model
• Canted antiferromagnetism in a spin-orbit coupled $S_{\text{eff}}=3/2$ triangular-lattice magnet DyAuGe
• 133Cs-NMR study on aligned powder of competing spin chain compound Cs2Cu2Mo3O12
• Emergence of Elastic Softening Featuring Ultra-Slow Dynamics Around Magnetic Critical Endpoint in UCoAl
• Overscreened Kondo fixed point in S=1 spin liquid
• Possible uniform-flux chiral spin liquid states in the SU(3) ring-exchange model on the triangular lattice
• Strong enhancement of magnetic susceptibility induced by spin-nematic fluctuations in an excitonic insulating system with spin-orbit coupling
• Bose-Hubbard model with occupation-parity couplings
• Influence of the biquadratic exchange interaction in the classical ground state magnetic response of the antiferromagnetic icosahedron
• Influence of topological constraints and topological excitations: Decomposition formulas for calculating homotopy groups of symmetry-broken phases
• Dynamical quadrupole structure factor of frustrated ferromagnetic chain
• Emergent Quadrupolar Order in the Spin-$1/2$ Kitaev-Heisenberg Model
• Evidence for a gapless Dirac spin-liquid ground state in a spin-3/2 triangular-lattice antiferromagnet
• Thermal Ising transition in two-dimensional SU(3) Fermi lattice gases with population imbalance
• Poisson-Dirichlet distributions and weakly first-order spin-nematic phase transitions
• Sigma-model analysis of $SU(3)$ antiferromagnetic spins on the triangular lattice
• $\mu$-Symmetry breaking: an algebraic approach to finding mean fields of quantum many-body systems
• Dynamics of quantum spin-nematics: Comparisons with canted antiferromagnets
• Field-Induced Spin Nematic Liquid of the $S=1/2$ Bond-Alternating Chain with the Anisotropy
• Hidden $SU(2)$ Symmetries, the Symmetry Hierarchy and the Emergent Eight-Fold Way in Spin-1 Quantum Magnets
• Superconductivity in model cuprate as an S=1 pseudomagnon condensation
• Ground-state phase diagram of the SU($4$) Heisenberg model on a plaquette lattice
• A frustrated spin-1 $J_1$--$J_2$ Heisenberg antiferromagnet: An anisotropic planar pyrochlore model
• Unusual spin dynamics in the van der Waals antiferromagnet FeGa2S4
• Nematic correlations and nematic Berezinskii-Kosterlitz-Thouless transition in spin-1 kagome lattice antiferromagnets
• Stability of three-sublattice order in S=1 bilinear-biquadratic Heisenberg Model on anisotropic triangular lattices
• Quadrupolar quantum criticality on a fractal
• Pseudo-chiral phonon splitting from octupolar magnetic order
• L-point quadrupole order under magnetic field in cubic PrIr${}_2$Zn${}_{20}$
• Phononic enhancement and detection of hidden spin-nematicity and dynamics in quantum magnets
• Weak-coupling Mean-field Theory of Magnetic Properties of NiGa${}_2$S${}_4$
• Extension of the Lieb-Schupp theorem to the Heisenberg models with higher order interactions
• Symmetry Rules on Multipole Interactions under Crystallographic Point Groups and Application to Multiple-$Q$ Multipole States