Gapless spin-liquid phase in an extended spin 1/2 triangular Heisenberg model

Abstract

We numerically study the Heisenberg models on triangular lattices by extending it from the simplest equilateral lattice with only the nearest-neighbor exchange interaction. We show that, by including an additional weak next-nearest-neighbor interaction, a quantum spin-liquid phase is stabilized against the antiferromagnetic order. The spin gap (triplet excitation gap) and spin correlation at long distances decay algebraically with increasing system size at the critical point between the antiferromagnetic phase and the spin-liquid phase. This algebraic behavior continues in the spin-liquid phase as well, indicating the presence of an unconventional critical (algebraic spin-liquid) phase characterized by the dynamical and anomalous critical exponents $z+\eta \sim 1$. Unusually small triplet and singlet excitation energies found in extended points of the Brillouin zone impose constraints on this algebraic spin liquid.

5+4 pages, 4+2 figures

References in corpus (7)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Properties of an algebraic spin liquid on the kagome lattice
• Algebraic spin liquid as the mother of many competing orders
• Variational Monte Carlo Method Combined with Quantum-Number Projection and Multi-Variable Optimization
• Gapless quantum spin liquid, stripe and antiferromagnetic phases in frustrated Hubbard models in two dimensions

Cited by in corpus (114)

• Gapless quantum spin liquid ground state in the two-dimensional spin-1/2 triangular antiferromagnet YbMgGaO${}_4$
• Spin liquid nature in the Heisenberg $J_1$-$J_2$ triangular antiferromagnet
• Spin liquid phase of the $S=\frac{1}{2}$ $J_1-J_2$ Heisenberg model on the triangular lattice
• Disorder-Induced Mimicry of a Spin Liquid in YbMgGaO${}_4$
• $\mu$SR evidence for the U(1) quantum spin liquid ground state in the triangular antiferromagnet YbMgGaO${}_4$
• Competing Spin Liquid States in the Spin-$1/2$ Heisenberg Model On Triangular Lattice
• 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${}_2$
• A new high-temperature quantum spin liquid with polaron spins
• 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
• Quantum Spin Liquid in Spin 1/2 J1-J2 Heisenberg Model on Square Lattice: Many-Variable Variational Monte Carlo Study Combined with Quantum-Number Projections
• Anisotropic-Exchange Magnets on a Triangular Lattice: Spin Waves, Accidental Degeneracies, and Dual Spin Liquids
• 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
• Electrically Tunable Flat Bands and Magnetism in Twisted Bilayer Graphene
• Projective symmetry group classification of chiral spin liquids
• Frustrated two dimensional quantum magnets
• mVMC - Open-source software for many-variable variational Monte Carlo method
• Gapless chiral spin liquid in a kagome Heisenberg model
• Four-Spin Terms and the Origin of the Chiral Spin Liquid in 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
• Empowering deep neural quantum states through efficient optimization
• 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
• Symmetry fractionalization in the topological phase of the spin-$\frac{1}{2}$ $J_1$-$J_2$ triangular Heisenberg model
• Nearest-neighbor resonating valence bonds in YbMgGaO4
• Importance of Spin-Orbit Coupling in Organic BEDT-TTF and BEDT-TSF Salts
• Variational Monte Carlo study of chiral spin liquid in quantum antiferromagnet on the triangular lattice
• Competition among Superconducting, Antiferromagnetic, and Charge Orders with Intervention by Phase Separation in the 2D Holstein-Hubbard Model
• 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
• Molecular Quantum Materials: Electronic Phases and Charge Dynamics in Two-Dimensional Organic Solids
• Lattice vibrations of the charge-transfer salt $\kappa$-(BEDT-TTF)${}_2$Cu${}_2$(CN)${}_3$: novel interpretation of the electrodynamic response in a spin-liquid compound
• 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
• Magnons and Excitation Continuum in XXZ triangular antiferromagnetic model: Application to $B{a}_{3}CoS{b}_2{O}_9$
• Field-Induced Spin Excitations in the Spin-1/2 Triangular-Lattice Antiferromagnet CsYbSe${}_2$
• Complete field-induced spectral response of the spin-1/2 triangular-lattice antiferromagnet CsYbSe${}_2$
• Persistent low-temperature spin dynamics in the mixed-valence iridate Ba${}_3$InIr${}_2$O${}_9$
• 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
• Gapless quantum spin liquid in the triangular system Sr${}_3$CuSb${}_2$O${}_9$
• 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
• Mermin-Wagner physics, (H,T) phase diagram, and candidate quantum spin-liquid phase in the spin-1/2 triangular-lattice antiferromagnet Ba8CoNb6O24
• Transition from a Dirac spin liquid to an antiferromagnet: Monopoles in a QED3-Gross-Neveu theory
• Ground-state properties of the triangular-lattice Heisenberg antiferromagnet with arbitrary spin quantum number $s$
• Quantum Electrodynamics in 2+1 Dimensions as the Organizing Principle of a Triangular Lattice Antiferromagnet
• Finite-temperature properties of the extended Heisenberg model on a triangular lattice
• Gapless Kitaev Spin Liquid to Classical String Gas through Tensor Networks
• Schwinger boson mean field study of the $J_1$-$J_2$ Heisenberg quantum antiferromagnet on the triangular lattice
• Spin-orbit coupling and magnetic interactions in Si(111):{C,Si,Sn,Pb}
• Thermodynamic properties of an $S=1/2$ ring-exchange model on the triangular lattice
• Evidence of Two-Spinon Bound States in the Magnetic Spectrum of Ba${}_3$CoSb${}_2$O${}_9$
• Group Convolutional Neural Networks Improve Quantum State Accuracy
• Systematic extraction of crystal electric-field effects and quantum magnetic model parameters in triangular rare-earth magnets
• Phase Diagram of the Spin-$1/2$ Triangular $J_1$-$J_2$ Heisenberg Model on a 3-leg Cylinder
• Magnetization of the spin-1/2 Heisenberg antiferromagnet on the triangular lattice
• Anomalous dimensions of monopole operators at the transitions between Dirac and topological spin liquids
• Magnetic and spin-liquid phases in the frustrated $t-t^{\prime }$ Hubbard model on the triangular lattice
• Electrodynamics of quantum spin liquids
• Comprehensive study of the global phase diagram in the triangular $J$-$K$-$\Gamma$ model
• Finite-Temperature Variational Monte Carlo Method for Strongly Correlated Electron Systems
• Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
• Quantum phase transitions in Heisenberg $J_1-J_2$ triangular antiferromagnet in a magnetic field
• 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${}_4$
• Time-reversal symmetry breaking Abelian chiral spin liquid in Mott phases of three-component fermions on the triangular lattice
• The Hubbard model on triangular $N$-leg cylinders: chiral and non-chiral spin liquids
• Ground-state and thermodynamic properties of the spin-$\frac{1}{2}$ Heisenberg model on the anisotropic triangular lattice
• Diluting a triangular-lattice spin liquid: Synthesis and characterization of NaYb${}_{1-x}$Lu${}_x$S${}_2$ single crystals
• Low-Energy Excitations in Quantum Spin-Liquids Identified by Optical Spectroscopy
• Doping a Mott insulator with excitons in moiré bilayer: fractional superfluid, neutral Fermi surface and Mott transition
• Simulating Spin Dynamics of Supersolid States in a Quantum Ising Magnet
• Magnetic excitations, phase diagram and order-by-disorder in the extended triangular-lattice Hubbard model
• Symmetric spin liquids on the stuffed honeycomb lattice
• Interplay between spatial anisotropy and further exchange interactions in the triangular Heisenberg model
• Spectra of a Gapped Quantum Spin Liquid with a Strong Chiral Excitation on the Triangular Lattice
• Helical spin liquid in a triangular XXZ magnet from Chern-Simons theory
• 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
• 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${}_3$
• Crossover from Diffusive to Superfluid Transport in Frustrated Magnets
• Similarity of thermodynamic properties of Heisenberg model on triangular and kagome lattices
• On the Magnetization of the $120^{\circ }$ order of the Spin-1/2 Triangular Lattice Heisenberg Model: a DMRG revisit
• Observation of the spiral spin liquid in a triangular-lattice material
• Phase Diagram of the Frustrated Square-Lattice Hubbard Model: Variational Cluster Approach
• Magnetic field-driven transition between valence bond solid and antiferromagnetic order in distorted triangular lattice
• Non-magnetic ion site disorder effects on the quantum magnetism of a spin-1/2 equilateral triangular lattice antiferromagnet
• Destabilization of U(1) Dirac spin-liquids on two dimensional non-bipartite lattices by quenched disorder
• Anisotropic magnetism and spin fluctuations in the triangular-lattice spin-liquid candidate NaYbSe${}_2$: a single-crystal ${}^{23}$Na and ${}^{77}$Se NMR study
• Dynamics of spin-1/2 $J_1$-$J_2$ model on the triangular lattice
• Scaling theory of magnetism in frustrated Kondo lattices
• Partially disordered Heisenberg antiferromagnet with short-range stripe correlations
• Quantum Spin Liquids in Weak Mott Insulators with a Spin-Orbit Coupling
• Evidence for a gapless Dirac spin-liquid ground state in a spin-3/2 triangular-lattice antiferromagnet
• Phases of frustrated quantum antiferromagnets on the square and triangular lattices
• Ground state energy and magnetization curve of a frustrated magnetic system from real-time evolution on a digital quantum processor
• Sign-problem-free effective models of triangular lattice quantum antiferromagnets
• Magnetic field-temperature phase diagram of spin-1/2 triangular lattice antiferromagnet KYbSe${}_2$
• Stability of algebraic spin liquids coupled to quantum phonons
• Study of the triangular-lattice Hubbard model with constrained-path quantum Monte Carlo
• Scalable hybrid quantum Monte Carlo simulation of U(1) gauge field coupled to fermions on GPU
• Exact diagonalization study of triangular Heisenberg model with four-spin ring-exchange interaction
• Symmetry-Projected Spin-AGP Methods Applied to Spin Systems
• Specific heat and susceptibility of S=1/2 antiferromagnets on square, triangular, and kagome lattices
• 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