Exact dimer ground state of the two dimensional Heisenberg spin system SrCu_2(BO_3)_2

Abstract

The two dimensional Heisenberg model for SrCu_2(BO_3)_2 has the exact dimer ground state which was proven by Shastry and Sutherland almost twenty years ago. The critical value of the quantum phase transition from the dimer state to the Néel ordered state is determined. Analysis of the experimental data shows that SrCu_2(BO_3)_2 has the dimer ground state but is close to the transition point, which leads to the unusual temperature dependence of the susceptibility. Almost localized nature of the triplet excitations explains the plateaus observed in the magnetization curve.

4 pages, 5 figures, to appear in PRL

Cited by in corpus (230)

• Magnetic Superstructure in the Two-Dimensional Quantum Antiferromagnet SrCu2(BO3)2
• Quantum Phase Transitions in the Shastry-Sutherland Model for $\mathbf{SrC}{\mathbf{u}}_2(\mathbf{B}{\mathbf{O}}_3{)}_2$
• Magnetic light scattering in low-dimensional quantum spin systems
• Controlling frustrated liquids and solids with an applied field in a kagome Heisenberg antiferromagnet
• Direct Evidence for the Localized Single-Triplet Excitations and the Dispersive Multi-Triplets Excitations in SrCu2(BO3)2
• Tensor network study of the Shastry-Sutherland model in zero magnetic field
• Crystals of bound states in the magnetization plateaus of the Shastry-Sutherland model
• Magnetization plateaus of the Shastry-Sutherland model for SrCu_2(BO_3)_2: SDW, supersolid and bound states
• Hall effect of triplons in a dimerized quantum magnet
• Dispersion and Symmetry of Bound States in the Shastry-Sutherland Model
• Exact eigenstates and macroscopic magnetization jumps in strongly frustrated spin lattices
• Quantum magnetism in two dimensions: From semi-classical Néel order to magnetic disorder
• Direct observation of the multiple spin gap excitations in two-dimensional dimer system SrCu2(BO3)2
• The Structure of Operators in Effective Particle-Conserving Models
• Topological Triplon Modes and Bound States in a Shastry-Sutherland Magnet
• Dzyaloshinski-Moriya Interaction in the 2D Spin Gap System SrCu2(BO3)2
• Exact Demonstration of Magnetization Pleateaus and First Order Dimer-Néel Phase Transitions in a Modified Shastry-Sutherland Model for SrCu${}_2$(BO${}_3$)${}_2$
• Quantum phases of SrCu2(BO3)2 from high-pressure thermodynamics
• Phase Diagram of the quadrumerized Shastry-Sutherland Model
• Various series expansions for a Heisenberg antiferromagnet model for SrCu${}_2$(BO${}_3$)${}_2$
• Magnetization plateaus as insulator-superfluid transitions in quantum spin systems
• Field-Induced Magnetic Ordering in the Quantum Spin System KCuCl${}_3$
• Fractalization drives crystalline states in a frustrated spin system
• Quantum Phases of the Shastry-Sutherland Antiferromagnet
• Quantum Criticality and Spin Liquid Phase in the Shastry-Sutherland model
• Collective Singlet Excitations and Evolution of Raman Spectral Weights in the 2D Spin Dimer Compound SrCu2(BO3)2
• Theory of magnetization plateaux in the Shastry-Sutherland model
• Strong coupling theory of the spinless charges on the triangular lattices: possibility of a new quantum liquid
• Frustrated quantum magnets
• Coupled Cluster Treatment of the Shastry-Sutherland Antiferromagnet
• Magnetization plateaus of SrCu_2(BO_3)_2 from a Chern-Simons theory
• Yb${}_2$Pt${}_2$Pb: Magnetic frustration in the Shastry-Sutherland lattice
• Proximate deconfined quantum critical point in SrCu2(BO3)2
• Signatures of a Deconfined Phase Transition on the Shastry-Sutherland Lattice: Applications to Quantum Critical SrCu${}_2$(BO${}_3$)${}_2$
• Phase diagram of the Shastry-Sutherland Compound SrCu2(BO3)2 under extreme combined conditions of field and pressure
• High Resolution Study of Spin Excitations in the Shastry-Sutherland Singlet Ground State of SrCu2(BO3)2
• ESR study on the excited state energy spectrum of SrCu${}_2$(BO${}_3$)${}_2$ -a central role of multiple-triplet bound states
• Successive phase transitions and phase diagrams of the quasi-two-dimensional triangular antiferromagnet Rb4Mn(MoO4)3
• Thermodynamic properties of the Shastry-Sutherland model throughout the dimer-product phase
• Strong damping of phononic heat current by magnetic excitations in SrCu_2(BO_3)_2
• Low-Lying Magnetic Excitation of the Shastry-Sutherland Model
• Integrable models and quantum spin ladders: comparison between theory and experiment for the strong coupling ladder compounds
• Generation of macroscopic singlet states in atomic ensembles
• Dzyaloshinskii-Moriya anisotropy and non-magnetic impurities in the $s=1/2$ kagome system ZnCu_3(OH)_6Cl_2
• Competition between intermediate plaquette phases in SrCu${}_2$(BO${}_3$)${}_2$ under pressure
• First-order quantum phase transition in the orthogonal-dimer spin chain
• Macroscopic singlet states for gradient magnetometry
• Quantum magnetization plateaux of an anisotropic ferrimagnetic spin chain
• Thermal Hall effects in quantum magnets
• Magnetism of a tetrahedral cluster spin-chain
• Observation of a Transient Magnetization Plateau in a Quantum Antiferromagnet on the Kagome Lattice
• Direct Observation of the Quantum Phase Transition of SrCu${}_2$(BO${}_3$)${}_2$ by High-Pressure and Terahertz Electron Spin Resonance
• A Novel Ordered Phase in SrCu2(BO3)2 under High Pressure
• Thermodynamic properties of the Shastry-Sutherland model from quantum Monte Carlo simulations
• Exact solution of the geometrically frustrated spin-1/2 Ising-Heisenberg model on the triangulated Kagome (triangles-in-triangles) lattice
• Dynamic Structure Factor of the Two-Dimensional Shastry-Sutherland Model
• The effect of Dzyaloshinskii-Moriya interactions on the phase diagram and magnetic excitations of SrCu2(BO3)2
• Universal emergence of the one-third plateau in the magnetization process of frustrated quantum spin chains
• Quantum stabilization of classically unstable plateau structures
• Magnetic chern bands and triplon Hall effect in an extended Shastry-Sutherland model
• Dynamics and Instabilities of the Shastry-Sutherland Model
• Fractional S^z excitation and its bound state around the 1/3 plateau of the S=1/2 Ising-like zigzag XXZ chain
• Competing Spin-Gap Phases in a Frustrated Quantum Spin System in Two Dimensions
• Quadrupolar Frustration in Shastry-Sutherland Lattice of DyB4 Studied by Resonant X-ray Scattering
• Quantum spin models with exact dimer ground states
• Theory of spin density profile in the magnetization plateaus of SrCu_2(BO_3)_2
• X-Band ESR Determination of Dzyaloshinsky-Moriya Interaction in 2D SrCu${}_2$(BO${}_3$)${}_2$ System
• Tensor network study of the $m=1/2$ magnetization plateau in the Shastry-Sutherland model at finite temperature
• Rise and fall of plaquette order in Shastry-Sutherland magnet revealed by pseudo-fermion functional renormalization group
• Two-Triplet-Dimer Excitation Spectra in the Shastry-Sutherland Model for SrCu_2(BO_3)_2
• Variational treatment of the Shastry-Sutherland antiferromagnet using Projected Entangled Pair States (PEPS)
• Far infrared study of the two dimensional dimer spin system SrCu_2(BO_3)_2
• Soundwave Anomalies in SrCu_{2}(BO_{3})_{2}
• Continuous and Discontinuous Quantum Phase Transitions in a Model Two-Dimensional Magnet
• Unveiling new quantum phases in the Shastry-Sutherland compound SrCu2(BO3)2up to the saturation magnetic field
• Field-Induced Effects of Anisotropic Magnetic Interactions in SrCu2(BO3)2
• Linear independence of nearest neighbor valence bond states on the kagome lattice and construction of SU(2)-invariant spin-1/2-Hamiltonian with a Sutherland-Rokhsar-Kivelson quantum liquid ground state
• Sign-switching of dimer correlations in SrCu${}_2$(BO${}_3$)${}_2$ under hydrostatic pressure
• Localized-magnon states in strongly frustrated quantum spin lattices
• Ground state and excitation of an asymmetric spin ladder model
• Almost Perfect Frustration in the Dimer Magnet Ba${}_2$CoSi${}_2$O${}_6$Cl${}_2$
• Low-lying excitations and magnetization process of coupled tetrahedral systems
• High Field Specific Heat of 2D Quantum Spin System SrCu2(BO3)2
• Plaquette Singlet Transition, Magnetic Barocaloric Effect, and Spin Supersolidity in the Shastry-Sutherland Model
• Microscopic mechanism for the 1/8 magnetization plateau in SrCu_2(BO_3)_2
• First-order transition between the plaquette valence bond solid and antiferromagnetic phases of the Shastry-Sutherland model
• Phase diagram of an asymmetric spin ladder
• Altermagnetism on the Shastry-Sutherland lattice
• Transformer Wave Function for two dimensional frustrated magnets: emergence of a Spin-Liquid Phase in the Shastry-Sutherland Model
• Ground-State Phase Diagram for the Three-Dimensional Orthogonal-Dimer System
• Exact ground states of a spin-1/2 Ising-Heisenberg model on the Shastry-Sutherland lattice in a magnetic field
• High-Order Coupled Cluster Method (CCM) Calculations for Quantum Magnets with Valence-Bond Ground States
• Emergent O(4) symmetry at the phase transition from plaquette-singlet to antiferromagnetic order in quasi-two-dimensional quantum magnets
• Third boundary of the Shastry-Sutherland Model by Numerical Diagonalization
• In-Gap Spin Excitations and Finite Triplet Lifetimes in the Dilute Singlet Ground State System SrCu(2-x)Mgx(BO3)2
• Field theory for generalized Shastry-Sutherland models
• Magnon Dispersion and Anisotropies in SrCu${}_2$(BO${}_3$)${}_2$
• Magnetization Plateaus in the Shastry-Sutherland Model for SrCu_2(BO_3)_2: Results of Fourth-Order Perturbation Expansion with a Low-Density Approximation
• Kinetic frustration induced supersolid in the $S=1/2$ kagome lattice antiferromagnet in a magnetic field
• Symmetry and light coupling to phononic and collective magnetic excitations in SrCu_2(BO_3)_2
• Maple Leaf Antiferromagnet in a Magnetic Field
• Sequence of first-order quantum phase transitions in a frustrated spin half dimer-plaquette chain
• Emergent Bound States and Impurity Pairs in Chemically Doped Shastry-Sutherland System
• Exact non-magnetic ground state and residual entropy of S = 1/2 Heisenberg diamond spin lattices
• Quantum phases in a doped Mott insulator on the Shastry-Sutherland lattice
• Exotic magnetisation plateaus in a quasi-2D Shastry-Sutherland model
• Local physics of magnetization plateaux in the Shastry-Sutherland model
• Dzyaloshinskii-Moriya interactions in valence bond systems
• Spin cluster operator theory for the Kagome lattice antiferromagnet
• Competing Orders and Superconductivity in the Doped Mott Insulator on the Shastry-Sutherland Lattice
• Frustration-induced phase transitions in the spin-S orthogonal-dimer chain
• A Candidate for the Quantum Spin Liquid Ground-State in the Shastry-Sutherland Lattice Material Yb${}_2$Be${}_2$GeO${}_7$
• Field Induced Magnetic States in Holmium Tetraboride
• Decorated Shastry-Sutherland lattice in the spin-1/2 magnet CdCu2(BO3)2
• Thermal entanglement in an orthogonal dimer-plaquette chain with alternating Ising-Heisenberg coupling
• Emergence of Irrationality: Magnetization Plateaux in Modulated Hubbard Chains
• Phase transitions in the Shastry-Sutherland lattice
• Doping Effects on the two-dimensional Spin Dimer Compound $SrC{u}_2(B{O}_3{)}_2$
• Frustrated Quantum Antiferromagnets: Application of High-Order Coupled Cluster Method
• New Method to Calculate the Sign and Relative Strength of Magnetic Interactions in Low-Dimensional Systems on the Basis of Structural Data
• Mott transition and Antiferromagnetic Metal on Shastry-Sutherland Lattice
• Cu nuclear spin-spin coupling in the dimer singlet state in SrCu2(BO3)2
• Quantum criticality with emergent symmetry in the extended Shastry-Sutherland model
• Unstable Shastry-Sutherland phase in Ce${}_2$Pd${}_2$Sn
• High Field behavior of the Spin Gap compound Sr${}_2$Cu(BO${}_3$)${}_2$
• Ferromagnetically coupled dimers on the distorted Shastry-Sutherland lattice: Application to (CuCl)LaNb2O7
• Electron spin resonance for the detection of long-range spin nematic order
• Variational Monte Carlo Study of a Spinless Fermion t-V Model on a Triangular Lattice: Formation of a Pinball Liquid
• Single-hole dynamics in dimerized and frustrated spin-chains
• Possibility of superconductivity in the repulsive Hubbard model on the Shastry-Sutherland lattice
• Pressure dependence of the magnetization plateaus of SrCu_2(BO_3)_2
• Theory of phonon-assisted "forbidden" optical transitions in spin-gapped systems
• Suppression of the Shastry-Sutherland phase in Ce${}_2$Pd${}_2$Sn at a field induced critical point
• Fractional magnetization plateaux of a spin-1/2 Heisenberg model on the Shastry-Sutherland lattice: effect of quantum XY interdimer coupling
• Phases of the spin-1/2 Heisenberg antiferromagnet on the diamond-decorated square lattice in a magnetic field
• Effective spin-1 breathing kagome Hamiltonian induced by the exchange hierarchy in the maple leaf mineral bluebellite
• Bose-Einstein condensation of triplons in the S=1 tetramer antiferromagnet K2Ni2(MoO4)3: A compound close to quantum critical point
• Phase diagram of the quantum spin-1/2 Heisenberg-$\Gamma$ model on a frustrated zigzag chain
• A high-order study of the quantum critical behavior of a frustrated spin-$\frac{1}{2}$ antiferromagnet on a stacked honeycomb bilayer
• Magnetization plateaus and bipartite entanglement of an exactly solved spin-1/2 Ising-Heisenberg orthogonal-dimer chain
• The topological magnon bands in the Flux state in Sashtry-Sutherland lattice
• Doped Valence Bond Solid and Superconductivity on the Shastry-Sutherland Lattice
• Spontaneous trimerization in two-dimensional Antiferromagnets
• Symmetries and Triplet Dispersion in a Modified Shastry-Sutherland Model for SrCu_2(BO_3)_2
• Electron concentration effects on the Shastry-Sutherland phase stability in Ce_{2-x}Pd_{2+y}In_{1-z} solid solutions
• Minimal model for the frustrated spin ladder system BiCu${}_2$PO${}_6$
• Frequency Extension to THz Range in High Pressure ESR System and Its Application to Shastry-Sutherland Model Compound SrCu${}_2$(BO${}_3$)${}_2$
• Magnetically hidden state on the ground floor of the magnetic Devil's staircase
• Fourfold degenerate columnar-dimer ground state in square lattice antiferromagnets
• Generalised Shastry-Sutherland Models in three and higher dimensions
• Triplet Dispersion in CuGeO_3: Perturbative Analysis
• A New Approach to Stochastic State selections in Quantum Spin Systems
• Patterns of Genuine Multipartite Entanglement in Frustrated Quantum Spin Systems
• Infinitely Multiple Steps in Magnetization of Ferro- and Antiferromagnetic Ising Models with Frustration on a Diamond Hierarchical Lattice
• Spin systems with dimerized ground states
• Thermally populated versus field-induced triplon bound states in the Shastry-Sutherland lattice SrCu${}_2$(BO${}_3$)${}_2$
• Single crystal synthesis and magnetic properties of a Shastry-Sutherland lattice compound BaNd2ZnS5
• Identifying topological order in the Shastry-Sutherland model via entanglement entropy
• Negative Thermal Hall Conductance in Two-Dimer Shastry-Sutherland Model with π-flux Dirac Triplon
• Frustration-induced Dodecamer Ordering in the Double-Exchange Spin Ice Model on the Kagomé Lattice
• Supersymmetry on the lattice: Geometry, Topology, and Flat Bands
• Chern-Simons Theory for Magnetization Plateaus of Frustrated $J_1$-$J_2$ Heisenberg model
• Thermal entanglement of qubit pairs on the Shastry-Sutherland lattice
• Efficient tensor network algorithm for layered systems
• Filling dependence of a new type of charge ordered liquid on a triangular lattice system
• Dimer-induced heavy-fermion superconductivity in the Shastry-Sutherland Kondo lattice model
• The Stochastic State Selection Method for Energy Eigenvalues in the Shastry-Sutherland Model
• Deconfined quantum critical point lost in pressurized SrCu2(BO3)2
• In-plane substitution effect on the magnetic properties of two-dimensional Spin-gap system SrCu${}_2$(BO${}_3$)${}_2$
• Persistence of magnons in a site-diluted dimerized frustrated antiferromagnet
• Quantum phase transitions of the S=1 Shastry-Sutherland model
• Fluctuation-induced ferrimagnetism in sublattice-imbalanced antiferromagnets with application to SrCu${}_2$(BO${}_3$)${}_2$ under pressure
• Hyperuniformity in two-dimensional periodic and quasiperiodic point patterns
• Localized magnetic excitations in the fully frustrated dimerized magnet Ba${}_2$CoSi${}_2$O${}_6$Cl${}_2$
• Spin waves and three-dimensionality in the high-pressure antiferromagnetic phase of SrCu${}_2$(BO${}_3$)${}_2$
• Signatures of the finite-temperature mirror symmetry breaking in the $S$=1/2 Shastry-Sutherland model
• Exactly solvable spin-1/2 XYZ models with highly-degenerate, partially ordered, ground states
• Metrological usefulness of entanglement and nonlinear Hamiltonians
• Magnetic phases in the S=1 Shastry-Sutherland model with uniaxial anisotropy
• Neural Network Quantum States analysis of the Shastry-Sutherland model
• Tensor network study of the Shastry-Sutherland model with weak interlayer coupling
• Low-temperature heat transport of spin-gapped quantum magnets
• Pair hopping in systems of strongly interacting hard-core bosons
• Collective Magnetic Excitations in SrCu_2(BO_3)_2
• Magnetic order in the two-dimensional metal-organic framework manganese pyrazinecarboxylate with Mn-Mn dimers
• Non-Degenerate Ground State in the Antiferromagnetic Double-Exchange Model on a Triangular Lattice
• Theory of rare-earth Kramers magnets on a Shastry-Sutherland lattice: dimer phases in presence of strong spin-orbit coupling
• Quantum spin liquid phase in the Shastry-Sutherland model revealed by high-precision infinite projected entangled-pair states
• Hyperuniform properties of the square-triangle tilings
• Strong-coupling expansion and effective hamiltonians
• Numerical Study of Excited States in the Shastry-Sutherland Model
• Two-triplon excitations of the Kitaev-Heisenberg-Bilayer
• Neutron and X-ray Scattering Studies of the Lightly-Doped Spin-Peierls System Cu(1-x)Cd(x)GeO3
• Theory of the Raman spectra of the Shastry-Sutherland antiferromagnet SrCu${}_2$(BO${}_3$)${}_2$ doped with nonmagnetic impurities
• Two quantum spin models on the checkerboard lattice with an exact two-fold degenerate Shastry-Sutherland ground state
• Ground-state properties for bilayer Kitaev model: dimer expansion study
• Magnetization plateaux in an extended Shastry-Sutherland model
• Magneto-elastic effects and magnetization plateaus in two dimensional systems
• Theory of magnetism for rare-earth magnets on the Shastry-Sutherland lattice with non-Kramers ions
• Triplons, triplon pairs and dynamical symmetries in laser-driven Shastry-Sutherland magnets
• Multi-Triplet Magnons in SrCu${}_2$(BO${}_3$)${}_2$ Studied by Thermal Conductivity Measurements in Magnetic Fields
• Exact staggered dimer ground state and its stability in a two-dimensional magnet
• Large-Scale Numerical-Diagonalization Study of the Shastry-Sutherland Model
• Hole dynamics and photoemission in a t-J model for SrCu_2(BO_3)_2
• Triplon mean-field analysis of an antiferromagnet with degenerate Shastry-Sutherland ground states
• Hole-doping effects on a frustrated spin ladder
• Tri-critical point and suppression of the Shastry-Sutherland phase in Ce${}_2$Pd${}_2$Sn by Ni doping
• Dynamics of quantum spin-nematics: Comparisons with canted antiferromagnets
• Haldane phases and phase diagrams of the S = 3/2, 1 bilinear-biquadratic Heisenberg model on the orthogonal dimer chain
• Z${}_2$ topological number of local quantum clusters in the orthogonal dimer model
• Real Space Imaging of Spin Polarons in Zn Doped SrCu2(BO3)2
• Spectroscopy and complex-time correlations using minimally entangled typical thermal states
• Anomalous thermal broadening in the Shastry-Sutherland model and SrCu${}_2($BO${}_3{)}_2$
• Instability of isolated triplet excitations on the Shastry-Sutherland lattice (SSL)
• Exact ground state and kink-like excitations of a two dimensional Heisenberg antiferromagnet
• Exact ground state of a frustrated integer-spin modified Shastry-Sutherland model
• Bullet pressure-cell design for neutron scattering experiments with horizontal magnetic fields and dilution temperatures
• Exact plaquette singlet phases in an orthogonal-plaquette model
• Quantum scaling of the spin lattice relaxation rate in the checkerboard $J$-$Q$ model
• Magnetization of Antiferromagnetic Cactus Graph Model with Exact Dimer Ground State
• Entanglement in a fermionic spin chain containing a single mobile boson under decoherence
• Neutron scattering evidence for two-dimensionally coupled spin-dimerized antiferromagnetic lattice in α-Cu2P2O7
• Ground state properties of two spin models with exactly known ground states on the square lattice
• SrCu_2(BO_3)_2 - a Two Dimensional Spin Liquid
• Hole Dynamics in the Orthogonal-Dimer Spin System
• Numerical Diagonalization Study of the Phase Boundaries of the S=2 Heisenberg Antiferromagnet on the Orthogonal Dimer Lattice
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Structure and magnetic properties of melilite-type compounds RE2Be2GeO7 (RE = Pr, Nd, Gd-Yb) with Rare-Earth ions on Shastry-Sutherland lattice
• Spiral Phase and Phase Diagram of the $S$=1/2 XXZ Model on the Shastry-Sutherland Lattice
• Intrinsic suppression of topological thermal Hall effect in an exactly solvable quantum magnet