Competing Spin Liquid States in the Spin-$1/2$ Heisenberg Model On Triangular Lattice

Abstract

We study the spin-$1/2$ Heisenberg model on the triangular lattice with the antiferromagnetic first ($J_1$) and second ($J_2$) nearest-neighbor interactions using density matrix renormalization group. By studying the spin correlation function, we find a $120^{\circ }$ magnetic order phase for $J_2\lesssim 0.07J_1$ and a stripe antiferromagnetic phase for $J_2\gtrsim 0.15J_1$. Between these two phases, we identify a spin liquid region characterized by the exponential decaying spin and dimer correlations, as well as the large spin singlet and triplet excitation gaps on finite-size systems. We find two near degenerating ground states with distinct properties in two sectors, which indicates more than one spin liquid candidates in this region. While the sector with spinon is found to respect the time reversal symmetry, the even sector without a spinon breaks such a symmetry for finite-size systems. Furthermore, we detect the signature of the fractionalization by following the evolution of different ground states with inserting spin flux into the cylinder system. Moreover, by tuning the anisotropic bond coupling, we explore the nature of the spin liquid phase and find the optimal parameter region for the gapped $Z_2$ spin liquid.

7+6 pages, 5+7 figures, 1 table

References in corpus (17)

• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Identifying Topological Order by Entanglement Entropy
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Quantum magnetism in the paratacamite family: towards an ideal kagome lattice
• An exact chiral spin liquid with non-Abelian anyons
• Mott Transition from a Spin Liquid to a Fermi Liquid in the Spin-Frustrated Organic Conductor kappa-(ET)2Cu2(CN)3
• Spin liquid phase of the $S=\frac{1}{2}$ $J_1-J_2$ Heisenberg model on the triangular lattice
• Excitation spectra of the spin-1/2 triangular-lattice Heisenberg antiferromagnet
• Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State
• Weak plaquette valence bond order in the $S=1/2$ honeycomb $J_1-J_2$ Heisenberg model
• Spin Liquid Phase in Anisotropic Triangular Lattice Heisenberg Model: Exact diagonalization and density-matrix renormalization group calculations
• Quasiclassical magnetic order and its loss in a spin-1/2 Heisenberg antiferromagnet on a triangular lattice with competing bonds
• Constraints on topological order in Mott Insulators
• Global phase diagram, possible chiral spin liquid and topological superconductivity in the triangular Kitaev-Heisenberg model
• Detecting crystal symmetry fractionalization from the ground state: Application to ${\mathbb{Z}}_2$ spin liquids on the kagome lattice
• Exotic Gapless Mott Insulators of Bosons on Multi-Leg Ladders
• Phase Diagram of the Spin-$1/2$ Triangular $J_1$-$J_2$ Heisenberg Model on a 3-leg Cylinder

Cited by in corpus (171)

• Quantum Spin Liquids
• Kitaev quantum spin liquid - concept and materialization
• Hubbard model physics in transition metal dichalcogenide moiré bands
• Is 1T-TaS${}_2$ a 40 year old quantum spin liquid?
• Spin liquid nature in the Heisenberg $J_1$-$J_2$ triangular antiferromagnet
• Valence Bonds in Random Quantum Magnets: Theory and Application to YbMgGaO4
• Chiral spin liquid phase of the triangular lattice Hubbard model: a density matrix renormalization group study
• NaYbS${}_2$ - a new planar spin-$\frac{1}{2}$ triangular-lattice magnet and putative spin liquid
• Gapless spin-liquid state in the structurally disorder-free triangular antiferromagnet NaYbO${}_2$
• Electrically controllable magnetism in twisted bilayer graphene
• Topography of Spin Liquids on a Triangular Lattice
• Dirac Spin Liquid on the Spin-1/2 Triangular Heisenberg Antiferromagnet
• Chiral Spin Liquid and Quantum Criticality in Extended $S=1/2$ Heisenberg Models on the Triangular Lattice
• Anisotropic-Exchange Magnets on a Triangular Lattice: Spin Waves, Accidental Degeneracies, and Dual Spin Liquids
• Unifying Description of Competing Orders in Two Dimensional Quantum Magnets
• Spinon Fermi surface in a cluster Mott insulator model on a triangular lattice and possible application to 1T-TaS${}_2$
• Global phase diagram and quantum spin liquids in spin-1/2 triangular antiferromagnet
• Dynamical structure factor of the $J_1-J_2$ Heisenberg model on the triangular lattice: magnons, spinons, and gauge fields
• Projective symmetry group classification of chiral spin liquids
• Neural Gutzwiller-projected variational wave functions
• Witnessing quantum criticality and entanglement in the triangular antiferromagnet KYbSe${}_2$
• Exponential Thermal Tensor Network Approach for Quantum Lattice Models
• A Quantum Dipolar Spin Liquid
• Ground state phase diagram of the triangular lattice Hubbard model by density matrix renormalization group method
• Four-Spin Terms and the Origin of the Chiral Spin Liquid in Mott Insulators on the Triangular Lattice
• Bridging Hubbard Model Physics and Quantum Hall Physics in Trilayer Graphene/h-BN moiré superlattice
• Empowering deep neural quantum states through efficient optimization
• Spin excitations in the frustrated triangular lattice antiferromagnet NaYbO${}_2$
• Spin liquids in geometrically perfect triangular antiferromagnets
• Pseudo-Goldstone gaps and order-by-quantum-disorder in frustrated magnets
• Symmetry fractionalization in the topological phase of the spin-$\frac{1}{2}$ $J_1$-$J_2$ triangular Heisenberg model
• Dynamical structure factor of the triangular antiferromagnet: the Schwinger boson theory beyond the mean field approach
• Tetrahedral triple-Q magnetic ordering and large spontaneous Hall conductivity in the metallic triangular antiferromagnet Co1/3TaS2
• From spinon band topology to the symmetry quantum numbers of monopoles in Dirac spin liquids
• Two-temperature scales in the triangular-lattice Heisenberg antiferromagnet
• Variational Monte Carlo study of chiral spin liquid in quantum antiferromagnet on the triangular lattice
• Ground-state phase diagram of an anisotropic spin-$1/2$ model on the triangular lattice
• Chiral spin liquid with spinon Fermi surfaces in spin-$1/2$ triangular Heisenberg model
• Ba8CoNb6O24: a spin-1/2 triangular-lattice Heisenberg antiferromagnet in the 2D limit
• Symmetric $Z_2$ spin liquids and their neighboring phases on triangular lattice
• Quantum Spin Liquid with Emergent Chiral Order in the Triangular-lattice Hubbard Model
• Spin Liquid versus Spin Orbit Coupling on the Triangular Lattice
• Topological superconductivity in the doped chiral spin liquid on the triangular lattice
• Competition between spin liquids and valence-bond order in the frustrated spin-$1/2$ Heisenberg model on the honeycomb lattice
• Semiclassical ground-state phase diagram and multi-Q phase of a spin-orbit coupled model on triangular lattice
• Competing magnetic states in transition metal dichalcogenide moiré materials
• Spin-valley density wave in moiré materials
• Field-Induced Spin Excitations in the Spin-1/2 Triangular-Lattice Antiferromagnet CsYbSe${}_2$
• Persistent low-temperature spin dynamics in the mixed-valence iridate Ba${}_3$InIr${}_2$O${}_9$
• Complete field-induced spectral response of the spin-1/2 triangular-lattice antiferromagnet CsYbSe${}_2$
• Absence of long-range order in a triangular spin system with dipolar interactions
• Spectral function of the $J_1-J_2$ Heisenberg model on the triangular lattice
• Detection and characterization of symmetry-broken long-range orders in the spin-$\frac{1}{2}$ triangular Heisenberg model
• Randomness induced spin-liquid-like phase in the spin-$1/2$ $J_1-J_2$ triangular Heisenberg model
• Thermal Tensor Renormalization Group Simulations of Square-Lattice Quantum Spin Models
• Non-linear magnons and exchange Hamiltonians of delafossite proximate quantum spin liquids
• Dynamical Signatures of Symmetry Broken and Liquid Phases in an $S=1/2$ Heisenberg Antiferromagnet on the Triangular Lattice
• Ground state phase diagram of dipolar-octupolar pyrochlores
• Mott transition and magnetism of the triangular-lattice Hubbard model with next-nearest-neighbor hopping
• Mermin-Wagner physics, (H,T) phase diagram, and candidate quantum spin-liquid phase in the spin-1/2 triangular-lattice antiferromagnet Ba8CoNb6O24
• Construction of Hamiltonians by supervised learning of energy and entanglement spectra
• Gapless spin liquid and pair density wave of the Hubbard model on three-leg triangular cylinders
• Superconductivity in the doped quantum spin liquid on the triangular lattice
• Quantum Skyrmion Lattices in Heisenberg Ferromagnets
• Emergence and stability of spin-valley entangled quantum liquids in moiré heterostructures
• Quantum Electrodynamics in 2+1 Dimensions as the Organizing Principle of a Triangular Lattice Antiferromagnet
• Probing excitations in insulators via injection of spin-currents
• Effects of two-loop contributions in the pseudofermion functional renormalization group method for quantum spin systems
• Finite-temperature properties of the extended Heisenberg model on a triangular lattice
• The two-dimensional metallic triangular lattice antiferromagnet CeCd3P3
• Transition from the ${\mathbb{Z}}_2$ spin liquid to antiferromagnetic order: spectrum on the torus
• Long-range magnetic order in the $\tilde{S}=1/2$ triangular lattice antiferromagnet KCeS${}_2$
• Schwinger boson mean field study of the $J_1$-$J_2$ Heisenberg quantum antiferromagnet on the triangular lattice
• Possible Nematic Spin Liquid in Spin-$1$ Antiferromagnetic System on the Square Lattice: Implication for the Nematic Paramagnetic State of FeSe
• Floquet engineering correlated materials with unpolarized light
• Half-magnetization plateau in a Heisenberg antiferromagnet on a triangular lattice
• Dynamics of K${}_2$Ni${}_2$(SO${}_4$)${}_3$ governed by proximity to a 3D spin liquid model
• Evidence of Two-Spinon Bound States in the Magnetic Spectrum of Ba${}_3$CoSb${}_2$O${}_9$
• Phase diagram of the quantum Ising model with long-range interactions on an infinite-cylinder triangular lattice
• Correlation-Enhanced Neural Networks as Interpretable Variational Quantum States
• Systematic extraction of crystal electric-field effects and quantum magnetic model parameters in triangular rare-earth magnets
• Classification of symmetry fractionalization in gapped ${\mathbb{Z}}_2$ spin liquids
• Phase Diagram of the Easy-Axis Triangular-Lattice $J_1-J_2$ Model
• Continuum of spin excitations in an ordered magnet
• Magnetic and spin-liquid phases in the frustrated $t-t^{\prime }$ Hubbard model on the triangular lattice
• Comprehensive study of the global phase diagram in the triangular $J$-$K$-$\Gamma$ model
• Abundance of hard-hexagon crystals in the quantum pyrochlore antiferromagnet
• Topological Bootstrap: Fractionalization From Kondo Coupling
• Schwinger boson theory of ordered magnets
• Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
• Nature of quantum spin liquids of the S=1/2 Heisenberg antiferromagnet on the triangular lattice: A parallel DMRG study
• Quantum phase transitions in Heisenberg $J_1-J_2$ triangular antiferromagnet in a magnetic field
• Double magnetic transitions and exotic field induced phase in the triangular lattice antiferromagnets Sr${}_3$Co(Nb,Ta)${}_2$O${}_9$
• Vanishing Wilson ratio as the hallmark of quantum spin-liquid models
• Exact diagonalization study of the anisotropic Heisenberg model related to YbMgGaO${}_4$
• The Hubbard model on triangular $N$-leg cylinders: chiral and non-chiral spin liquids
• Electromagnetic signatures of chiral quantum spin liquid
• Time-reversal symmetry breaking Abelian chiral spin liquid in Mott phases of three-component fermions on the triangular lattice
• Unveiling a critical stripy state in the triangular-lattice SU(4) spin-orbital model
• Ground-state and thermodynamic properties of the spin-$\frac{1}{2}$ Heisenberg model on the anisotropic triangular lattice
• Quasiparticles as Detector of Topological Quantum Phase Transitions
• Doping a Mott insulator with excitons in moiré bilayer: fractional superfluid, neutral Fermi surface and Mott transition
• Theory of partial quantum disorder in the stuffed honeycomb Heisenberg antiferromagnet
• Simulating Spin Dynamics of Supersolid States in a Quantum Ising Magnet
• Frustrated Magnetism in Triangular Lattice TlYbS${}_2$ Crystals Grown via Molten Flux
• Interplay between spatial anisotropy and further exchange interactions in the triangular Heisenberg model
• Anomalous continuum scattering and higher-order van Hove singularity in the strongly anisotropic S = 1/2 triangular lattice antiferromagnet
• Unification of parton and coupled-wire approaches to quantum magnetism in two dimensions
• Magnetic excitations, phase diagram and order-by-disorder in the extended triangular-lattice Hubbard model
• Spin Casimir Effect in Non-collinear Quantum Antiferromagnets
• Magnetic phase diagram and multiple field-induced states in the intermetallic triangular-lattice antiferromagnet NdAuAl${}_4$Ge${}_2$ with Ising-like spins
• Determining non-Abelian topological order from infinite projected entangled pair states
• Mott insulators in moiré transition metal dichalcogenides at fractional fillings: Slave-rotor mean-field theory
• Helical spin liquid in a triangular XXZ magnet from Chern-Simons theory
• Spectra of a Gapped Quantum Spin Liquid with a Strong Chiral Excitation on the Triangular Lattice
• The influence of crystalline electric field on the magnetic properties of CeCd3X3 (X = P and As)
• Spin-gap study of the spin-$\frac{1}{2}$ $J_1$--$J_2$ model on the triangular lattice
• Monopole excitations in the $U(1)$ Dirac spin liquid on the triangular lattice
• Superconductivity in doped triangular Mott insulators: the roles of parent spin backgrounds and charge kinetic energy
• Quantitative investigation of the short-range magnetic correlations in candidate quantum spin liquid NaYbO${}_2$
• Limits to magnetic quantum criticality from nuclear spins
• Determining topological order from infinite projected entangled pair states
• Crossover from Diffusive to Superfluid Transport in Frustrated Magnets
• Twisted bilayer U(1) Dirac spin liquids
• Hydrodynamics of quantum spin liquids
• Similarity of thermodynamic properties of Heisenberg model on triangular and kagome lattices
• Anyon condensation and confinement transition in a Kitaev spin liquid bilayer
• Classical phase diagram of the stuffed honeycomb lattice
• Theory of quantum kagome ice and vison zero modes
• Phase Diagram of the Frustrated Square-Lattice Hubbard Model: Variational Cluster Approach
• Tunability of the magnetic properties in Ni intercalated transition metal dichalcogenide NbSe${}_2$
• Modified large-$N$ approach to gapless spin liquids, magnetic orders, and dynamics: Application to triangular lattice antiferromagnets
• Field-driven transition from quantum spin liquid to magnetic order in triangular-lattice antiferromagnets
• Interleaved bond frustration in a triangular lattice antiferromagnet
• Using Random Boundary Conditions to simulate disordered quantum spin models in 2D-systems
• Non-magnetic ion site disorder effects on the quantum magnetism of a spin-1/2 equilateral triangular lattice antiferromagnet
• Dynamics of spin-1/2 $J_1$-$J_2$ model on the triangular lattice
• Spin liquid phases of Mott insulating ultracold bosons
• Mean-field theory of interacting triplons in a two-dimensional valence-bond solid: stability and properties of many-triplon states
• Destabilization of U(1) Dirac spin-liquids on two dimensional non-bipartite lattices by quenched disorder
• Frustrated quantum spin systems in small triangular lattices studied with a numerical method
• Learning interactions between Rydberg atoms
• Magnetic field induced partially polarized chiral spin liquid in a transition metal dichalcogenide moiré system
• Partially disordered Heisenberg antiferromagnet with short-range stripe correlations
• Quantum Spin Liquids in Weak Mott Insulators with a Spin-Orbit Coupling
• Phases of frustrated quantum antiferromagnets on the square and triangular lattices
• Sign-problem-free effective models of triangular lattice quantum antiferromagnets
• Prospects for NMR Spectral Prediction on Fault-Tolerant Quantum Computers
• Magnetic field-temperature phase diagram of spin-1/2 triangular lattice antiferromagnet KYbSe${}_2$
• Ground state energy and magnetization curve of a frustrated magnetic system from real-time evolution on a digital quantum processor
• Topological Aspects of Antiferromagnets
• Stability of algebraic spin liquids coupled to quantum phonons
• Variational methods for characterizing matrix product operator symmetries
• Keldysh pseudo-fermion functional renormalization group for quantum magnetism
• Density-Matrix Mean-Field Theory
• Exact diagonalization study of triangular Heisenberg model with four-spin ring-exchange interaction
• Scalable hybrid quantum Monte Carlo simulation of U(1) gauge field coupled to fermions on GPU
• Random singlet physics in exchange disordered 2D triangular YbCu${}_{1.14}$Se${}_2$
• Quantum Magnetism in Wannier-Obstructed Mott Insulators
• Dynamical spin correlations in kagome antiferromagnets: comparison of Abrikosov fermion and Schwinger boson approaches beyond mean field
• Topical review: the nature of the ground state and possibility of a quantum spin liquid in 1T metal dichalcogenides
• Vison condensation and spinon confinement in a kagome-lattice ${\mathbb{Z}}_2$ spin liquid: A numerical study of a quantum dimer model
• Gapped magnetic ground state in the spin-liquid candidate $\kappa$-(BEDT-TTF)${}_2$Ag${}_2$(CN)${}_3$ suggested by magnetic spectroscopy
• Magnetic Frustration Enforced Electronic Reconstruction in Ni intercalated NbSe${}_2$: Suppression of Electronic Orders
• Symmetry-Projected Spin-AGP Methods Applied to Spin Systems
• Quantum spin liquid ground state with the evidence of roton-like excitations at elevated temperatures in the triangular-lattice delafossite YbCuSe${}_2$
• An integrated theoretical and numerical approach to understand modern experiments on quantum magnetism
• Competing states in the $S=1/2$ triangular-lattice $J_1$-$J_2$ Heisenberg model: a dynamical density-matrix renormalization group study
• 5d-mediated indirect exchange and effective spin Hamiltonians in Ce triangular-lattice delafossites
• Triplet resonating valence bond theory and transition metal chalcogenides
• Crystal field splittings and magnetic ground state of the square-lattice antiferromagnets YbBi2ClO4 and YbBi2IO4 with Jeff = 1/2