Dirac Spin Liquid on the Spin-1/2 Triangular Heisenberg Antiferromagnet

Abstract

We study the spin liquid candidate of the spin-$1/2$ $J_1$-$J_2$ Heisenberg antiferromagnet on the triangular lattice by means of density matrix renormalization group (DMRG) simulations. By applying an external Aharonov-Bohm flux insertion in an infinitely long cylinder, we find unambiguous evidence for gapless $U(1)$ Dirac spin liquid behavior. The flux insertion overcomes the finite size restriction for energy gaps and clearly shows gapless behavior at the expected wave-vectors. Using the DMRG transfer matrix, the low-lying excitation spectrum can be extracted, which shows characteristic Dirac cone structures of both spinon-bilinear and monopole excitations. Finally, we confirm that the entanglement entropy follows the predicted universal response under the flux insertion.

arXiv comment4+8 pages, 4+13 figures

References in corpus (39)

• The density-matrix renormalization group in the age of matrix product states
• Quantum Spin Liquids
• Quantum Spin Liquid States
• Long range Neel order in the triangular Heisenberg model
• Theory of finite-entanglement scaling at one-dimensional quantum critical points
• Neel order in square and triangular lattice Heisenberg models
• On the stability of U(1) spin liquids in two dimensions
• Properties of an algebraic spin liquid on the kagome lattice
• 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
• Field-tunable quantum disordered ground state in the triangular lattice antiferromagnet NaYbO${}_2$
• Algebraic spin liquid as the mother of many competing orders
• Signatures of Dirac cones in a DMRG study of the Kagome Heisenberg model
• Competing Spin Liquid States in the Spin-$1/2$ Heisenberg Model On Triangular Lattice
• Rare-earth chalcogenides: A large family of triangular lattice spin liquid candidate
• 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${}_2$
• Topography of Spin Liquids on a Triangular Lattice
• Excitation spectra of the spin-1/2 triangular-lattice Heisenberg antiferromagnet
• Field-induced instability of the quantum-spin-liquid ground state in the $J_{\mathrm{eff}}=\frac{1}{2}$ triangular-lattice compound NaYbO${}_2$
• Gapless spin-liquid phase in an extended spin 1/2 triangular Heisenberg model
• 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
• Infinite size density matrix renormalization group, revisited
• 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
• 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
• Transfer Matrices and Excitations with Matrix Product States
• Symmetry fractionalization in the topological phase of the spin-$\frac{1}{2}$ $J_1$-$J_2$ triangular Heisenberg model
• Magnetic and quantum disordered phases in triangular-lattice Heisenberg antiferromagnets
• Entanglement signatures of emergent Dirac fermions: kagome spin liquid & quantum criticality
• Obtaining topological degenerate ground states by the density matrix renormalization group
• Monopole Quantum Numbers in the Staggered Flux Spin Liquid
• Two-cylinder entanglement entropy under a twist
• Schwinger boson mean field study of the $J_1$-$J_2$ Heisenberg quantum antiferromagnet on the triangular lattice
• Quantum Orders and Spin Liquids in Cs${}_2$CuCl${}_4$
• Frustrated quantum spin systems in small triangular lattices studied with a numerical method

Cited by in corpus (120)

• The Hubbard Model
• Chiral spin liquid phase of the triangular lattice Hubbard model: a density matrix renormalization group study
• Witnessing quantum criticality and entanglement in the triangular antiferromagnet KYbSe${}_2$
• Four-Spin Terms and the Origin of the Chiral Spin Liquid in Mott Insulators on the Triangular Lattice
• SU(4) chiral spin liquid, exciton supersolid and electric detection in moiré bilayers
• Empowering deep neural quantum states through efficient optimization
• Spin liquids in geometrically perfect triangular antiferromagnets
• 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
• High-accuracy variational Monte Carlo for frustrated magnets with deep neural networks
• Stiefel Liquids: Possible Non-Lagrangian Quantum Criticality from Intertwined Orders
• Doped Mott Insulators in the Triangular Lattice Hubbard Model
• The emergence of gapless quantum spin liquid from deconfined quantum critical point
• Chiral spin liquid with spinon Fermi surfaces in spin-$1/2$ triangular Heisenberg model
• Topological characterization of Lieb-Schultz-Mattis constraints and applications to symmetry-enriched quantum criticality
• Parton theory of ARPES spectra in anti-ferromagnetic Mott insulators
• Topological superconductivity in the doped chiral spin liquid on the triangular lattice
• 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${}_2$
• New Developments in the Numerical Conformal Bootstrap
• Evidence of Dirac Quantum Spin Liquid in YbZn2GaO5
• Spectral function of the $J_1-J_2$ Heisenberg model on the triangular lattice
• Non-linear magnons and exchange Hamiltonians of delafossite proximate quantum spin liquids
• Spectral evidence for Dirac spinons in a kagome lattice antiferromagnet
• Dynamical Signatures of Symmetry Broken and Liquid Phases in an $S=1/2$ Heisenberg Antiferromagnet on the Triangular Lattice
• Abelian SU$(N{)}_1$ Chiral Spin Liquids on the Square Lattice
• Frustration enhanced by Kitaev exchange in a ${\tilde{\mathbf{j}}}_{\text{eff}}=\frac{1}{2}$ triangular antiferromagnet
• Continuum excitations in a spin-supersolid on a triangular lattice
• Gapless quantum spin liquid in a honeycomb $\Gamma$ magnet
• Superconductivity in the doped quantum spin liquid on the triangular lattice
• Quantum Skyrmion Lattices in Heisenberg Ferromagnets
• Quantum Electrodynamics in 2+1 Dimensions as the Organizing Principle of a Triangular Lattice Antiferromagnet
• Conformal bootstrap bounds for the $U(1)$ Dirac spin liquid and $N=7$ Stiefel liquid
• Evidence of Two-Spinon Bound States in the Magnetic Spectrum of Ba${}_3$CoSb${}_2$O${}_9$
• Excitation spectrum of spin-1 Kitaev spin liquids
• Systematic extraction of crystal electric-field effects and quantum magnetic model parameters in triangular rare-earth magnets
• Spin-Peierls instability of the U(1) Dirac spin liquid
• Anomalous dimensions of monopole operators at the transitions between Dirac and topological spin liquids
• 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
• Candidate quantum disordered intermediate phase in the Heisenberg antiferromagnet on the maple-leaf lattice
• Diagnosing weakly first-order phase transitions by coupling to order parameters
• Lee-Yang theory of criticality in interacting quantum many-body systems
• Magnetic properties and signatures of moment ordering in triangular lattice antiferromagnet KCeO${}_2$
• Comprehensive study of the global phase diagram in the triangular $J$-$K$-$\Gamma$ model
• Gapless spin liquids in disguise
• Nature of quantum spin liquids of the S=1/2 Heisenberg antiferromagnet on the triangular lattice: A parallel DMRG study
• Universal signatures of Dirac fermions in entanglement and charge fluctuations
• Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
• Lee-Yang theory of the two-dimensional quantum Ising model
• Impurity-induced resonant spinon zero modes in Dirac quantum spin-liquids
• 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
• Evolution of magnetic-field-induced ordering in the layered structure quantum Heisenberg triangular-lattice antiferromagnet Ba${}_3$CoSb${}_2$O${}_9$
• The Hubbard model on triangular $N$-leg cylinders: chiral and non-chiral spin liquids
• Cavity Moiré Materials: Controlling Magnetic Frustration with Quantum Light-Matter Interaction
• Ground-state and thermodynamic properties of the spin-$\frac{1}{2}$ Heisenberg model on the anisotropic triangular lattice
• Unveiling a critical stripy state in the triangular-lattice SU(4) spin-orbital model
• Doping a Mott insulator with excitons in moiré bilayer: fractional superfluid, neutral Fermi surface and Mott transition
• Phase transitions in the Haldane-Hubbard model
• Spin-1/2 kagome Heisenberg antiferromagnet: Machine learning discovery of the spinon pair density wave ground state
• Anomalous continuum scattering and higher-order van Hove singularity in the strongly anisotropic S = 1/2 triangular lattice antiferromagnet
• NaRuO${}_2$: Kitaev-Heisenberg exchange in triangular-lattice setting
• Magnetic excitations, phase diagram and order-by-disorder in the extended triangular-lattice Hubbard model
• Symmetric spin liquids on the stuffed honeycomb lattice
• 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
• Thermoelectric signature of quantum critical phase in a doped spin liquid candidate
• Monopole Josephson Effects in a Dirac Spin Liquid
• How quantum phases on cylinders approach the 2d limit
• Candidate quantum spin liquids on the maple-leaf lattice
• Quantitative investigation of the short-range magnetic correlations in candidate quantum spin liquid NaYbO${}_2$
• Superconductivity in doped triangular Mott insulators: the roles of parent spin backgrounds and charge kinetic energy
• Monopole excitations in the $U(1)$ Dirac spin liquid on the triangular lattice
• Doped Mott phase and charge correlations in monolayer 1T-NbSe${}_2$
• 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${}_3$
• Phase diagram of a bilinear-biquadratic spin-1 model on the triangular lattice from density matrix renormalization group simulations
• Theory of Dirac Spin-Orbital Liquids: monopoles, anomalies, and applications to $SU(4)$ honeycomb models
• Controlling magnetic frustration in 1T-TaS${}_2$ via Coulomb engineered long-range interactions
• Spin Liquid and Superconductivity emerging from Steady States and Measurements
• Tunable moire spinons in magnetically encapsulated twisted van der Waals quantum spin-liquids
• Quantum spin liquid from electron-phonon coupling
• Engineering frustrated Rydberg spin models by graphical Floquet modulation
• Interplay between multi-spin and chiral spin interactions on triangular lattice
• Classification and emergence of quantum spin liquids in chiral Rydberg models
• Modified large-$N$ approach to gapless spin liquids, magnetic orders, and dynamics: Application to triangular lattice antiferromagnets
• Destabilization of U(1) Dirac spin-liquids on two dimensional non-bipartite lattices by quenched disorder
• Field-driven transition from quantum spin liquid to magnetic order in triangular-lattice antiferromagnets
• Mean-field theory of interacting triplons in a two-dimensional valence-bond solid: stability and properties of many-triplon states
• Interplay of Kitaev Interaction and Off-diagonal Exchanges: Exotic Phases and Quantum Phase Diagrams
• Classical and quantum spin liquids
• Magnetically disordered ground state in the triangular-lattice antiferromagnets Rb${}_3$Yb(VO${}_4$)${}_2$ and Cs${}_3$Yb(VO${}_4$)${}_2$
• Gapless spinon excitations emerging from a multipolar transverse field in the triangular-lattice Ising antiferromagnet NaTmSe2
• Partially disordered Heisenberg antiferromagnet with short-range stripe correlations
• Thermal features of Heisenberg antiferromagnets on edge- versus corner-sharing triangular-based lattices: A message from spin waves
• Evidence for a gapless Dirac spin-liquid ground state in a spin-3/2 triangular-lattice antiferromagnet
• Hamiltonian Learning of Triplon Excitations in an Artificial Nanoscale Molecular Quantum Magnet
• Ground state energy and magnetization curve of a frustrated magnetic system from real-time evolution on a digital quantum processor
• Emergent Quantum Phenomena of Noncentrosymmetric Charge-Density Wave in 1T-Transition Metal Dichalcogenides
• Magnetic field-temperature phase diagram of spin-1/2 triangular lattice antiferromagnet KYbSe${}_2$
• Scalable hybrid quantum Monte Carlo simulation of U(1) gauge field coupled to fermions on GPU
• Unnecessary quantum criticality in $SU(3)$ kagome magnets
• Semi-Dirac spin liquids and frustrated quantum magnetism on the trellis lattice
• Stability of algebraic spin liquids coupled to quantum phonons
• Gapped magnetic ground state in the spin-liquid candidate $\kappa$-(BEDT-TTF)${}_2$Ag${}_2$(CN)${}_3$ suggested by magnetic spectroscopy
• Quantum Magnetism in Wannier-Obstructed Mott Insulators
• Keldysh pseudo-fermion functional renormalization group for quantum magnetism
• Topical review: the nature of the ground state and possibility of a quantum spin liquid in 1T metal dichalcogenides
• Phase diagram of the J1-J2 Heisenberg second-order topological quantum magnet
• Density-Matrix Mean-Field Theory
• Exact diagonalization study of triangular Heisenberg model with four-spin ring-exchange interaction
• Interplay of disorder and spin liquid physics in the triangular-lattice antiferromagnet YbZn2GaO5
• SrCu(OH)${}_3$Cl, an ideal isolated equilateral triangle spin $S$ = 1/2 model system
• Holographic entanglement renormalisation for fermionic quantum matter
• Competing states in the $S=1/2$ triangular-lattice $J_1$-$J_2$ Heisenberg model: a dynamical density-matrix renormalization group study
• Emergent Chiral Metal near a Kondo Breakdown Quantum Phase Transition
• Quantum spin liquid ground state with the evidence of roton-like excitations at elevated temperatures in the triangular-lattice delafossite YbCuSe${}_2$
• Designer quantum matter in van der Waals heterostructures
• Itinerant magnetism in Hubbard models with long-range interactions