Spin liquid phase of the $S=\frac{1}{2}$ $J_1-J_2$ Heisenberg model on the triangular lattice

Abstract

We study the $S=1/2$ Heisenberg model on the triangular lattice with nearest neighbor interaction $J_1$ and next nearest neighbor interaction $J_2$ with the density matrix renormalization group. We are able to study long open cylinders with widths up to 9 lattice spacings. At an intermediate $J_2$ region $0.06\lesssim J_2/J_1\lesssim 0.17$, we find evidence for a spin liquid (SL) state with short range spin-spin, bond-bond and chiral correlation lengths, bordered by a classical $120^{\circ }$ Néel ordered state at small $J_2$ and by a two sub-lattice collinear magnetically ordered state at larger $J_2$. Focusing on $J_2/J_1=0.1$, we find a number of signatures of a gapped SL phase: two quasi-degenerate ground states on even cylinders, with an energy gap that decreases exponentially with the cylinder width; a dimerization effect on odd cylinders; and large spin triplet and singlet bulk gaps.

5+4 pages, 4+7 figures, 1 table. v2 minor changes made for publication on PRB rapid communication

References in corpus (15)

• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• An RVB phase in the triangular lattice quantum dimer model
• Long range Neel order in the triangular Heisenberg model
• Exact spectra, spin susceptibilities and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice
• Studying Two Dimensional Systems With the Density Matrix Renormalization Group
• Neel order in square and triangular lattice Heisenberg models
• Spin-waves in triangular lattice antiferromagnet: decays, spectrum renormalization, and singularities
• Excitation spectra of the spin-1/2 triangular-lattice Heisenberg antiferromagnet
• Gapless spin-liquid phase in an extended spin 1/2 triangular Heisenberg model
• Theory of a competitive spin liquid state for weak Mott insulators on the triangular lattice
• Quasiclassical magnetic order and its loss in a spin-1/2 Heisenberg antiferromagnet on a triangular lattice with competing bonds
• Magnetic and quantum disordered phases in triangular-lattice Heisenberg antiferromagnets
• Phase Diagram of the Spin-$1/2$ Triangular $J_1$-$J_2$ Heisenberg Model on a 3-leg Cylinder
• Quantum Phase Transition between Z2 spin liquid and columnar Valence Bond Crystals on a Triangular lattice
• Classification and Monte Carlo study of symmetric $Z_2$ spin liquids on the triangular lattice

Cited by in corpus (210)

• Quantum Spin Liquids
• Quantum Spin Liquids
• Kitaev quantum spin liquid - concept and materialization
• Hubbard model physics in transition metal dichalcogenide moiré bands
• Continuous excitations of the triangular-lattice quantum spin liquid YbMgGaO4
• Is 1T-TaS${}_2$ a 40 year old quantum spin liquid?
• Spin liquid nature in the Heisenberg $J_1$-$J_2$ triangular antiferromagnet
• Disorder-Induced Mimicry of a Spin Liquid in YbMgGaO${}_4$
• Competing Spin Liquid States in the Spin-$1/2$ Heisenberg Model On Triangular Lattice
• 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
• Gapless spin-liquid state in the structurally disorder-free triangular antiferromagnet NaYbO${}_2$
• Anisotropic field-induced ordering in the triangular-lattice quantum spin liquid NaYbSe${}_2$
• 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
• Frustration and quantum criticality
• 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
• 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
• Quantum Magnetism in Minerals
• 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
• Dynamical structure factor of the triangular antiferromagnet: the Schwinger boson theory beyond the mean field approach
• Hierarchy of exchange interactions in the triangular-lattice spin-liquid YbMgGaO${}_4$
• Symmetry fractionalization in the topological phase of the spin-$\frac{1}{2}$ $J_1$-$J_2$ triangular Heisenberg model
• 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
• Symmetric $Z_2$ spin liquids and their neighboring phases on triangular lattice
• Ab initio guided minimal model for the "Kitaev" material BaCo${}_2$(AsO${}_4$)${}_2$: Importance of direct hopping, third-neighbor exchange and quantum fluctuations
• Experimental signatures of quantum and topological states in frustrated magnetism
• 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
• Competing magnetic states in transition metal dichalcogenide moiré materials
• Intercell Moiré Exciton Complexes in Electron Lattices
• Spin-valley density wave in moiré materials
• Crystal field Hamiltonian and anisotropy in KErSe2 and CsErSe2
• Complete field-induced spectral response of the spin-1/2 triangular-lattice antiferromagnet CsYbSe${}_2$
• Field-Induced Spin Excitations in the Spin-1/2 Triangular-Lattice Antiferromagnet CsYbSe${}_2$
• TMDs as a platform for spin liquid physics: A strong coupling study of twisted bilayer WSe${}_2$
• 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
• Randomness induced spin-liquid-like phase in the spin-$1/2$ $J_1-J_2$ triangular Heisenberg model
• Detection and characterization of symmetry-broken long-range orders in the spin-$\frac{1}{2}$ triangular Heisenberg model
• A DMRG Study of Superconductivity in the Triangular Lattice Hubbard Model
• Gapless quantum spin liquid in the triangular system Sr${}_3$CuSb${}_2$O${}_9$
• Non-linear magnons and exchange Hamiltonians of delafossite proximate quantum spin liquids
• Thermal Tensor Renormalization Group Simulations of Square-Lattice Quantum Spin Models
• Mottness in two-dimensional van der Waals Nb${}_3$X${}_8$ monolayers (X=Cl, Br, and I)
• Dynamical Signatures of Symmetry Broken and Liquid Phases in an $S=1/2$ Heisenberg Antiferromagnet on the Triangular Lattice
• Mott transition and magnetism of the triangular-lattice Hubbard model with next-nearest-neighbor hopping
• Where is the Quantum Spin Nematic?
• Mermin-Wagner physics, (H,T) phase diagram, and candidate quantum spin-liquid phase in the spin-1/2 triangular-lattice antiferromagnet Ba8CoNb6O24
• Superconductivity in the doped quantum spin liquid on the triangular lattice
• Emergence and stability of spin-valley entangled quantum liquids in moiré heterostructures
• Field-induced decays in $XXZ$ triangular-lattice antiferromagnets
• 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
• Quantum Electrodynamics in 2+1 Dimensions as the Organizing Principle of a Triangular Lattice Antiferromagnet
• Transformer Wave Function for two dimensional frustrated magnets: emergence of a Spin-Liquid Phase in the Shastry-Sutherland Model
• Unified Phase Diagram of Antiferromagnetic SU(N) Spin Ladders
• Transition from the ${\mathbb{Z}}_2$ spin liquid to antiferromagnetic order: spectrum on the torus
• Schwinger boson mean field study of the $J_1$-$J_2$ Heisenberg quantum antiferromagnet on the triangular lattice
• Long-range magnetic order in the $\tilde{S}=1/2$ triangular lattice antiferromagnet KCeS${}_2$
• Finite-temperature properties of the extended Heisenberg model on a triangular lattice
• Possible Nematic Spin Liquid in Spin-$1$ Antiferromagnetic System on the Square Lattice: Implication for the Nematic Paramagnetic State of FeSe
• A DMRG study: Pair-density wave in spin-valley locked systems
• Half-magnetization plateau in a Heisenberg antiferromagnet on a triangular lattice
• Floquet engineering correlated materials with unpolarized light
• 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
• Anyon Superconductivity from Topological Criticality in a Hofstadter-Hubbard Model
• Dynamics of K${}_2$Ni${}_2$(SO${}_4$)${}_3$ governed by proximity to a 3D spin liquid model
• Quantum Phases in the Honeycomb-Lattice $J_1$--$J_3$ Ferro-Antiferromagnetic Model
• Spin-Peierls instability of the U(1) Dirac spin liquid
• 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
• Continuum of spin excitations in an ordered magnet
• Phase Diagram of the Easy-Axis Triangular-Lattice $J_1-J_2$ Model
• Magnetic and spin-liquid phases in the frustrated $t-t^{\prime }$ Hubbard model on the triangular lattice
• Magnetic properties of triangular lattice antiferromagnets Ba3RB9O18 (R = Yb, Er)
• Comprehensive study of the global phase diagram in the triangular $J$-$K$-$\Gamma$ model
• Abundance of hard-hexagon crystals in the quantum pyrochlore antiferromagnet
• Rare-Earth Chalcogenides: An Inspiring Playground For Exploring Frustrated Magnetism
• Schwinger boson theory of ordered magnets
• Correlation-driven charge order in a frustrated two-dimensional atom lattice
• Quantum phase transitions in Heisenberg $J_1-J_2$ triangular antiferromagnet in a magnetic field
• Topological Bootstrap: Fractionalization From Kondo Coupling
• 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
• 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
• Collective spinon spin wave in a magnetized U(1) 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
• Cavity Moiré Materials: Controlling Magnetic Frustration with Quantum Light-Matter Interaction
• Diluting a triangular-lattice spin liquid: Synthesis and characterization of NaYb${}_{1-x}$Lu${}_x$S${}_2$ single crystals
• Polarization as a tuning parameter for Floquet engineering: magnetism in the honeycomb, square, and triangular Mott insulators
• 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
• The Saga of $\alpha$-RuCl${}_3$: Parameters, Models, and Phase Diagrams
• Tracking the evolution from isolated dimers to many-body entanglement in NaLu${}_x$Yb${}_{1-x}$Se${}_2$
• Simulating Spin Dynamics of Supersolid States in a Quantum Ising Magnet
• Magnetic phase diagram and multiple field-induced states in the intermetallic triangular-lattice antiferromagnet NdAuAl${}_4$Ge${}_2$ with Ising-like spins
• NaRuO${}_2$: Kitaev-Heisenberg exchange in triangular-lattice setting
• 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
• Spectrum of conformal gauge theories on a torus
• Spin Casimir Effect in Non-collinear Quantum Antiferromagnets
• Magnetic excitations, phase diagram and order-by-disorder in the extended triangular-lattice Hubbard model
• Helical spin liquid in a triangular XXZ magnet from Chern-Simons theory
• Mott insulators in moiré transition metal dichalcogenides at fractional fillings: Slave-rotor mean-field theory
• Spectra of a Gapped Quantum Spin Liquid with a Strong Chiral Excitation on the Triangular Lattice
• Determining non-Abelian topological order from infinite projected entangled pair states
• Quantum Quench Dynamics of Geometrically Frustrated Ising Models
• Exploring Spin AGP Ansatze for Strongly Correlated Spin Systems
• Spin-gap study of the spin-$\frac{1}{2}$ $J_1$--$J_2$ model on the triangular lattice
• Quantitative investigation of the short-range magnetic correlations in candidate quantum spin liquid NaYbO${}_2$
• 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
• Crossover from Diffusive to Superfluid Transport in Frustrated Magnets
• Possible coexistence of short-range resonating-valence-bond and long-range stripe correlations in the spatially anisotropic triangular-lattice quantum magnet Cu${}_2$(OH)${}_3$NO${}_3$
• Doped Mott phase and charge correlations in monolayer 1T-NbSe${}_2$
• Twisted bilayer U(1) Dirac spin liquids
• Determining topological order from infinite projected entangled pair states
• Classical phase diagram of the stuffed honeycomb lattice
• Anyon condensation and confinement transition in a Kitaev spin liquid bilayer
• BaCo${}_2$(AsO${}_4$)${}_2$: Strong Kitaev, After All
• Similarity of thermodynamic properties of Heisenberg model on triangular and kagome lattices
• Reinvestigation of the homogeneous spin model in YbMgGaO${}_4$
• Hydrodynamics of quantum spin liquids
• Classification of trivial spin-1 tensor network states on a square lattice
• Theory of quantum kagome ice and vison zero modes
• Light-Induced Ferromagnetism in Moiré Superlattices
• Novel Dipole-Lattice coupling in the Quantum-Spin-Liquid Material $\kappa$-(BEDT-TTF)${}_2$Cu${}_2$(CN)${}_3$
• Engineering frustrated Rydberg spin models by graphical Floquet modulation
• Phase Diagram of the Frustrated Square-Lattice Hubbard Model: Variational Cluster Approach
• Interplay between multi-spin and chiral spin interactions on triangular lattice
• Efficient simulation of inhomogeneously correlated systems using block interaction product states
• Modified large-$N$ approach to gapless spin liquids, magnetic orders, and dynamics: Application to triangular lattice antiferromagnets
• Non-magnetic ion site disorder effects on the quantum magnetism of a spin-1/2 equilateral triangular lattice antiferromagnet
• Field-driven transition from quantum spin liquid to magnetic order in triangular-lattice antiferromagnets
• Frustrated quantum spin systems in small triangular lattices studied with a numerical method
• Destabilization of U(1) Dirac spin-liquids on two dimensional non-bipartite lattices by quenched disorder
• Dynamics of spin-1/2 $J_1$-$J_2$ model on the triangular lattice
• Mean-field theory of interacting triplons in a two-dimensional valence-bond solid: stability and properties of many-triplon states
• Probing a quantum spin liquid with equilibrium and nonequilibrium hole dynamics
• Spin liquid phases of Mott insulating ultracold bosons
• Phases of frustrated quantum antiferromagnets on the square and triangular lattices
• Partially disordered Heisenberg antiferromagnet with short-range stripe correlations
• Evidence for a gapless Dirac spin-liquid ground state in a spin-3/2 triangular-lattice antiferromagnet
• Magnetic field induced partially polarized chiral spin liquid in a transition metal dichalcogenide moiré system
• Magnetically disordered ground state in the triangular-lattice antiferromagnets Rb${}_3$Yb(VO${}_4$)${}_2$ and Cs${}_3$Yb(VO${}_4$)${}_2$
• Quantum Spin Liquids in Weak Mott Insulators with a Spin-Orbit Coupling
• Dynamics and thermodynamics of the S = 5/2 almost Heisenberg triangular lattice antiferromagnet K2Mn(SeO3)2
• Sign-problem-free effective models of triangular lattice quantum antiferromagnets
• Ground state energy and magnetization curve of a frustrated magnetic system from real-time evolution on a digital quantum processor
• Prospects for NMR Spectral Prediction on Fault-Tolerant Quantum Computers
• Self-consistent tensor network method for correlated super-moiré matter beyond one billion sites
• Quantum selection of order and dynamic properties of Kitaev-Heisenberg ferromagnet on a triangular lattice
• Stability of algebraic spin liquids coupled to quantum phonons
• Keldysh pseudo-fermion functional renormalization group for quantum magnetism
• Variational methods for characterizing matrix product operator symmetries
• Quantum Hall to Chiral Spin Liquid transition in a Triangular Lattice Hofstadter-Hubbard Model
• Tuning magnetic interactions with nonequilibrium optical phonon populations: a theoretical study
• Phase diagram of the J1-J2 Heisenberg second-order topological quantum magnet
• Study of the triangular-lattice Hubbard model with constrained-path quantum Monte Carlo
• Emergent Dispersive Multipolar Excitations in NaErSe${}_2$
• Topical review: the nature of the ground state and possibility of a quantum spin liquid in 1T metal dichalcogenides
• Chiral spin liquid in a generalized Kitaev honeycomb model with ${\mathbb{Z}}_4$ 1-form symmetry
• Spin-liquid-like spin dynamics in the frustrated antiferromagnet TbBO3
• Vison condensation and spinon confinement in a kagome-lattice ${\mathbb{Z}}_2$ spin liquid: A numerical study of a quantum dimer model
• Density-Matrix Mean-Field Theory
• Hidden quantum correlations in the ground states of quasiclassical spin systems
• Gapped magnetic ground state in the spin-liquid candidate $\kappa$-(BEDT-TTF)${}_2$Ag${}_2$(CN)${}_3$ suggested by magnetic spectroscopy
• Exact diagonalization study of triangular Heisenberg model with four-spin ring-exchange interaction
• Quantum Magnetism in Wannier-Obstructed Mott Insulators
• 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${}_2$
• Variational optimization of projected entangled-pair states on the triangular lattice
• Symmetry-Projected Spin-AGP Methods Applied to Spin Systems
• Triplet resonating valence bond theory and transition metal chalcogenides
• Competing states in the $S=1/2$ triangular-lattice $J_1$-$J_2$ Heisenberg model: a dynamical density-matrix renormalization group study
• Crystal field splittings and magnetic ground state of the square-lattice antiferromagnets YbBi2ClO4 and YbBi2IO4 with Jeff = 1/2
• Fractal Path Strategies for Efficient 2D DMRG Simulations
• Geometrical frustration, power law tunneling and non-local gauge fields from scattered light
• An integrated theoretical and numerical approach to understand modern experiments on quantum magnetism
• Quantum spin liquid ground state with the evidence of roton-like excitations at elevated temperatures in the triangular-lattice delafossite YbCuSe${}_2$
• Itinerant magnetism in the triangular lattice Hubbard model at half-doping: Application to twisted transition-metal dichalcogenides
• 5d-mediated indirect exchange and effective spin Hamiltonians in Ce triangular-lattice delafossites
• Spiral Phase and Phase Diagram of the $S$=1/2 XXZ Model on the Shastry-Sutherland Lattice