Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions

Abstract

Using ground-state projector quantum Monte Carlo simulations in the valence bond basis, it is demonstrated that non-frustrating four-spin interactions can destroy the Neel order of the two-dimensional S=1/2 Heisenberg antiferromagnet and drive it into a valence-bond solid (VBS) phase. Results for spin and dimer correlations are consistent with a single continuous transition, and all data exhibit finite-size scaling with a single set of exponents; z=1, nu=0.78 +/- 0.03, and eta=0.26 +/- 0.03. The unusually large eta and an emergent U(1) symmetry, detected using VBS order parameter histograms, provide strong evidence for a deconfined quantum critical point.

4 pages, 5 figures. v2: typo in Fig. 2 corrected. v3: minor changes, published version

References in corpus (9)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Plaquette valence bond solid in the frustrated Heisenberg quantum antiferromagnet on the square lattice
• Valence Bond Solids and Their Quantum Melting in Hard-Core Bosons on the Kagome Lattice
• The J1-J2 model: First order phase transition versus deconfinement of spinons
• Deconfined criticality, runaway flow in the two-component scalar electrodynamics and weak first-order superfluid-solid transitions
• Spin nematics and magnetization plateau transition in anisotropic Kagome magnets
• A striped supersolid phase and the search for deconfined quantum criticality in hard-core bosons on the triangular lattice
• Spinon deconfinement in doped frustrated quantum antiferromagnets

Cited by in corpus (195)

• Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
• Quantum magnetism and criticality
• Quantum critical transport, duality, and M-theory
• Scaling in the Fan of an Unconventional Quantum Critical Point
• Ground-state phases of the spin-1/2 J_1-J_2 Heisenberg antiferromagnet on the square lattice: A high-order coupled cluster treatment
• Variational quantum Monte Carlo simulations with tensor-network states
• From an Antiferromagnet to a Valence Bond Solid: Evidence for a First Order Phase Transition
• Bridging lattice-scale physics and continuum field theory with quantum Monte Carlo simulations
• Quantum criticality of U(1) gauge theories with fermionic and bosonic matter in two spatial dimensions
• Nearly deconfined spinon excitations in the square-lattice spin-1/2 Heisenberg antiferromagnet
• Duality between the deconfined quantum-critical point and the bosonic topological transition
• Global phase diagrams of frustrated quantum antiferromagnets in two dimensions: doubled Chern-Simons theory
• Hierarchical mean-field approach to the $J_1$-$J_2$ Heisenberg model on a square lattice
• Quantum Criticality and Spin Liquid Phase in the Shastry-Sutherland model
• Real-Space Parallel Density Matrix Renormalization Group
• Evidence of Unconventional Universality Class in a Two-Dimensional Dimerized Quantum Heisenberg Model
• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• Scaling of entanglement entropy at deconfined quantum criticality
• Quantum Phase Transition between Integer Quantum Hall States of Bosons
• Deconfined quantum critical point in one dimension
• Dirac Fermions with Competing Orders: Non-Landau Transition with Emergent Symmetry
• Emerging Bosons with Three-Body Interactions from Spin-1 Atoms in Optical Lattices
• Proximate deconfined quantum critical point in SrCu2(BO3)2
• A simple fermionic model of deconfined phases and phase transitions
• Coulomb gas transitions in three-dimensional classical dimer models
• Quantum phase transitions beyond Landau-Ginzburg theory in one-dimensional space revisited
• Comprehensive quantum Monte Carlo study of the quantum critical points in planar dimerized/quadrumerized Heisenberg models
• Valence Bond Entanglement Entropy
• Hole dynamics in an antiferromagnet across a deconfined quantum critical point
• The emergence of gapless quantum spin liquid from deconfined quantum critical point
• Monopoles in CP(N-1) model via the state-operator correspondence
• Topological characterization of Lieb-Schultz-Mattis constraints and applications to symmetry-enriched quantum criticality
• Transitions to valence-bond solid order in a honeycomb lattice antiferromagnet
• Scaling of disorder operator at deconfined quantum criticality
• Anyon condensation and a generic tensor-network construction for symmetry protected topological phases
• Destruction of Neel order in the cuprates by electron-doping
• Critical behavior of the QED${}_3$-Gross-Neveu model: Duality and deconfined criticality
• Fermion disorder operator at Gross-Neveu and deconfined quantum criticalities
• The $\mathrm{SO}(5)$ Deconfined Phase Transition under the Fuzzy Sphere Microscope: Approximate Conformal Symmetry, Pseudo-Criticality, and Operator Spectrum
• Exactly solvable model for a deconfined quantum critical point in 1D
• The Renormalization Group Studies on Four Fermion Interaction Instabilities on Algebraic Spin Liquids
• Paired electron pockets in the hole-doped cuprates
• Level spectroscopy in a two-dimensional quantum magnet: Linearly dispersing spinons at the deconfined quantum critical point
• Solids and supersolids of three-body interacting polar molecules in an optical lattice
• Master equation approach to computing RVB bond amplitudes
• Quantum phase transitions in bilayer SU(N) anti-ferromagnets
• Variational ground states of 2D antiferromagnets in the valence bond basis
• Perturbative quantum Monte Carlo method for nuclear physics
• SU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model
• Valence bond solid order near impurities in two-dimensional quantum antiferromagnets
• Quantum phase transitions in two-dimensional superconductors: a review on recent experimental progress
• Kernel method for corrections to scaling
• Simulating groundstate and dynamical quantum phase transitions on a superconducting quantum computer
• Efficient Continuous-time Quantum Monte Carlo Method for the Ground State of Correlated Fermions
• Magnetic properties of the spin-1/2 Ising-Heisenberg diamond chain with the four-spin interaction
• Higher-charge three-dimensional compact lattice Abelian-Higgs models
• Quantum critical scaling behavior of deconfined spinons
• First-order transition between the plaquette valence bond solid and antiferromagnetic phases of the Shastry-Sutherland model
• Dirac fermions with plaquette interactions. I. SU(2) phase diagram with Gross-Neveu and deconfined quantum criticalities
• Lattice Quantum Villain Hamiltonians: Compact scalars, $U(1)$ gauge theories, fracton models and Quantum Ising model dualities
• Diamond chains with multiple-spin exchange interactions
• Large-N estimates of universal amplitudes of the CP^{N-1} theory and comparison with the JQ model
• Phases of (2+1)D SO(5) non-linear sigma model with a topological term on a sphere: multicritical point and disorder phase
• Edge physics at the deconfined transition between a quantum spin Hall insulator and a superconductor
• Static and dynamical signatures of Dzyaloshinskii-Moriya interactions in the Heisenberg model on the kagome lattice
• Thermodynamics of a gas of deconfined bosonic spinons in two dimensions
• Building models of topological quantum criticality from pivot Hamiltonians
• Frustrated magnets without geometrical frustration in bosonic flux ladders
• Geometric phases and competing orders in two dimensions
• Classical to quantum mapping for an unconventional phase transition in a three-dimensional classical dimer model
• A square lattice algebraic spin liquid with SO(5) symmetry
• Stripe melting and quantum criticality in correlated metals
• Disorder Operator and Rényi Entanglement Entropy of Symmetric Mass Generation
• Compact quantum electrodynamics in 2+1 dimensions and spinon deconfinement: a renormalization group analysis
• Diagnosing $SO(5)$ Symmetry and First-Order Transition in the $J-Q_3$ Model via Entanglement Entropy
• Dirac fermions with plaquette interactions. II. SU(4) phase diagram with Gross-Neveu criticality and quantum spin liquid
• Deconfined quantum criticality in spin-1/2 chains with long-range interactions
• Extracting subleading corrections in entanglement entropy at quantum phase transitions
• Anomalous dimensions of monopole operators at the transitions between Dirac and topological spin liquids
• Critical behaviors of lattice U(1) gauge models and three-dimensional Abelian-Higgs gauge field theory
• Fractional spin excitations in the infinite-layer cuprate CaCuO${}_2$
• Correlations and order parameter at a Coulomb-crystal phase transition in a three-dimensional dimer model
• Evolution of entanglement entropy at SU($N$) deconfined quantum critical points
• A Scaling Relation for Dangerously Irrelevant Symmetry-Breaking Fields
• Diagnosing weakly first-order phase transitions by coupling to order parameters
• Imaging bond order near non-magnetic impurities in square lattice antiferromagnets
• Dynamical quantum phase transitions in a spin chain with deconfined quantum critical points
• Magnetic ordering of weakly coupled frustrated quantum spin chains
• Entanglement entropy and deconfined criticality: emergent SO(5) symmetry and proper lattice bipartition
• Superfluid Insulator Transitions of Hard-Core Bosons on the Checkerboard Lattice
• Marshall-positive SU($N$) quantum spin systems and classical loop models: A practical strategy to design sign-problem-free spin Hamiltonians
• Recent progress on quantum simulations of non-standard Bose-Hubbard models
• Frustrated extended Bose-Hubbard model and deconfined quantum critical points with optical lattices at the anti-magic wavelength
• Semiclassical Approach to Competing Orders in Two-leg Spin Ladder with Ring-Exchange
• Gauge Enhanced Quantum Criticality Beyond the Standard Model
• Quantum-critical scaling properties of the two-dimensional random-singlet state
• Quantum criticality with emergent symmetry in the extended Shastry-Sutherland model
• Quantum Phase Transition in the Four-Spin Exchange Antiferromagnet
• Emergent Symmetry in Quantum Phase Transitions: From Deconfined Quantum Critical Point to Gapless Quantum Spin Liquid
• Monte Carlo based techniques for quantum magnets with long-range interactions
• Spin correlations near the edge as probe of Dimer order in square-lattice Heisenberg models
• Quantum magnets with weakly confined spinons: Multiple length scales and quantum impurities
• Fermion-induced quantum critical point in Dirac semimetals: a sign-problem-free quantum Monte Carlo study
• Valence bond solid phases in a cubic antiferromagnet
• Resonating valence bond trial wave functions with both static and dynamically determined Marshall sign structure
• Boundary deconfined quantum criticality at transitions between symmetry-protected topological chains
• Phases and Exotic Phase Transitions of a Two-Dimensional Su-Schrieffer-Heeger Model
• Quantum Phase Transitions beyond the Landau's Paradigm in Sp(4) Spin System
• A new series of 3D CFTs with $\mathrm{Sp}(N)$ global symmetry on fuzzy sphere
• Thermal Phase Transition of Generalized Heisenberg Models for SU(N) Spins on Square and Honeycomb Lattices
• Localization of spinons in random Majumdar-Ghosh chains
• Correlated valence-bond states
• Emergent topological excitations in a two-dimensional quantum spin system
• Emergent self-duality in long range critical spin chain: from deconfined criticality to first order transition
• Edge and impurity response in two-dimensional quantum antiferromagnets
• Non-abelian bosonization in two and three spatial dimensions and applications
• Singlet exciton condensation and bond-order-wave phase in the extended Hubbard model
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Schwinger boson symmetric spin liquids of Shastry-Sutherland model
• Hamiltonian inference from dynamical excitations in confined quantum magnets
• Emergent XY* transition driven by symmetry fractionalization and anyon condensation
• Spontaneous dimerization, spin-nematic order, and deconfined quantum critical point in a spin-1 Kitaev chain with tunable single-ion anisotropy
• Impurity spin textures across conventional and deconfined quantum critical points of two-dimensional antiferromagnets
• Deconfinement criticality for the spatially anisotropic triangular antiferromagnet with the ring exchange
• Resummation-based updates for Stochastic Series Expansion Quantum Monte Carlo
• Multiparticle interactions for ultracold atoms in optical tweezers: Cyclic ring-exchange terms
• Quantum phase diagram of two-dimensional transverse field Ising model: unconstrained tree tensor network and mapping analysis
• Equilibration of Topological Defects Near the Deconfined Quantum Multicritical Point
• Phase diagram and magnetic excitations of $J_1$-$J_3$ Heisenberg model on the square lattice
• Deconfined Quantum Critical Point: A Review of Progress
• Deconfinement transitions in three-dimensional compact lattice Abelian Higgs models with multiple-charge scalar fields
• Limits to magnetic quantum criticality from nuclear spins
• Deconfined quantum critical point lost in pressurized SrCu2(BO3)2
• Deconfined quantum criticality driven by Dirac fermions in SU(2) antiferromagnets
• Characterization of randomness in quantum circuits of continuous gate sets
• Dual dynamic scaling in deconfined quantum criticality
• Dynamical signatures of the one-dimensional deconfined quantum critical point
• Deconfined quantum phase transition on the kagome lattice: Distinct velocities of spinon and string excitations
• Theory of spin nematic to spin-Peierls quantum phase transition in ultracold spin-1 atoms in optical lattices
• Detecting emergent continuous symmetries at quantum criticality
• The Néel-VBS transition in three-dimensional SU($N$) antiferromagnets
• Measuring the Boundary Gapless State and Criticality via Disorder Operator
• Absence of SO(4) quantum criticality in Dirac semimetals at two-loop order
• Violation of the Spin Statistics Theorem and the Bose-Einstein Condensation of Particles with Half Integer Spin
• Higher-order topology and corner triplon excitations in two-dimensional quantum spin-dimer models
• Boosting quantum Monte Carlo and alleviating sign problem by Gutzwiller projection
• Stripe order, impurities, and symmetry breaking in a diluted frustrated magnet
• Universal Behavior in Entanglement Entropy Reveals Quantum Criticality and Underlying Symmetry Breaking
• Short-imaginary-time quantum critical dynamics in the J-Q${}_3$ spin chain
• Topological physics in quantum critical systems
• Emergent O(4) symmetry at an one-dimensional deconfined quantum tricritical point
• Fermion enhanced first-order phase transition and chiral Gross-Neveu tricritical point
• Deconfined quantum criticality in a frustrated Haldane chain with single-ion anisotropy
• Deconfined quantum criticality of frustrated hard-core dipolar bosons
• Poisson-Dirichlet distributions and weakly first-order spin-nematic phase transitions
• Deconfined criticality as intrinsically gapless topological state in one dimension
• Bandwidth controlled quantum phase transition between an easy-plane quantum spin Hall state and an s-wave superconductor
• Phase diagram of the SU($N$) antiferromagnet of spin $S$ on a square lattice
• Scaling and data collapse of two-dimensional random singlet state in magnetic field
• Reply to Comment on "Quantum phase transition in the four-spin exchange antiferromagnet"
• Phase diagram and critical behavior of Hubbard model on the square-hexagon-octagon lattice
• Exact staggered dimer ground state and its stability in a two-dimensional magnet
• Continuous phase transition from a chiral spin state to collinear magnetic order in a zigzag chain with Kitaev interactions
• Fermionization for charge degrees of freedom and bosonization of spin degrees of freedom in the SU(2) slave-boson theory
• The Chiral Gross-Neveu model on the lattice via a Landau-forbidden phase transition
• Magnetic effects of non-magnetic impurities in gapped short-range resonating valence bond spin liquids
• Alteration of Topology in Quantum Phase Transitions via Symmetry Enrichment
• Frustrated Rydberg Atom Arrays Meet Cavity-QED: Emergence of the Superradiant Clock Phase
• Pseudocriticality in antiferromagnetic spin chains
• Sigma-model analysis of $SU(3)$ antiferromagnetic spins on the triangular lattice
• Simulation of the Ring-exchange Models with Projected Entangled Pair States
• Self-dual criticality in three-dimensional ${\mathbb{Z}}_2$ gauge theory with matter
• Thermodynamic and Dynamical Signatures of a Quantum Spin-Hall Insulator to Superconductor Transition
• Deconfined Quantum Critical Point with Non-locality
• Improvements to the Stochastic Series Expansion method for the $J{Q}_2$ model with a magnetic field
• Critical structure and emergent symmetry of Dirac fermion systems
• Effects of edge disorder in nano-scale antiferromagnetic clusters
• Deconfined Quantum Criticality among Grand Unified Theories
• Accessing Excitation of Many-body Systems via Single-Mode Approximation within Quantum Monte Carlo Simulations
• Time-dependent Schwinger boson mean-field theory of supermagnonic propagation in 2D antiferromagnets
• Competition between Neel, Haldane nematic, plaquette valence bond solid, and $(\pi ,\pi )$ valence bond solid phases in SU(N) analogs of $S=1$ square-lattice antiferromagnets
• Quantum scaling of the spin lattice relaxation rate in the checkerboard $J$-$Q$ model
• Universal properties of the U(1) current at deconfined quantum critical points: comparison with predictions from gauge/gravity duality
• Exact results for the Hubbard model on bipartite lattices in spatial dimensions $d>1$: Seven theorems from the full [SU(2)$\times$SU(2)$\times$U(1)]/${\mathbb{Z}}_2^2$ symmetry
• Boundary quantum criticality in models of magnetic impurities coupled to bosonic baths
• Subsystem symmetries, critical Bose surface, and immobile excitations in an extended compass model
• Deconfined pseudocriticality in a model spin-1 quantum antiferromagnet
• Quantum phase transitions beyond the dilute Bose gas limit
• Deconfined quantum criticality with internal supersymmetry
• Short-time critical dynamics in the classical cubic dimer model
• Fermionic criticality with enlarged fluctuations in Dirac semimetals
• First-order Néel-VBS transition in $S=3/2$ antiferromagnets
• $XY$-VBS phase boundary for the square-lattice $J_1$-$J_2$ $XXZ$ model with the ring exchange
• Deconfined criticality for the two-dimensional quantum S=1-spin model with the three-spin and biquadratic interactions
• Tunable quantum criticality and pseudocriticality across the fixed-point annihilation in the anisotropic spin-boson model