Thermodynamic properties of the Shastry-Sutherland model throughout the dimer-product phase

Abstract

The thermodynamic properties of the Shastry-Sutherland model have posed one of the longest-lasting conundrums in frustrated quantum magnetism. Over a wide range on both sides of the quantum phase transition (QPT) from the dimer-product to the plaquette-based ground state, neither analytical nor any available numerical methods have come close to reproducing the physics of the excited states and thermal response. We solve this problem in the dimer-product phase by introducing two qualitative advances in computational physics. One is the use of thermal pure quantum (TPQ) states to augment dramatically the size of clusters amenable to exact diagonalization. The second is the use of tensor-network methods, in the form of infinite projected entangled pair states (iPEPS), for the calculation of finite-temperature quantities. We demonstrate convergence as a function of system size in TPQ calculations and of bond dimension in our iPEPS results, with complete mutual agreement even extremely close to the QPT. Our methods reveal a remarkably sharp and low-lying feature in the magnetic specific heat around the QPT, whose origin appears to lie in a proliferation of excitations composed of two-triplon bound states. The surprisingly low energy scale and apparently extended spatial nature of these states explain the failure of less refined numerical approaches to capture their physics. Both of our methods will have broad and immediate application in addressing the thermodynamic response of a wide range of highly frustrated magnetic models and materials.

arXiv comment21 pages, 19 figures

References in corpus (70)

• Quantum Spin Liquids
• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Canonical Typicality
• Spin-lattice coupling in frustrated antiferromagnets
• Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions
• Competing states in the t-J model: uniform d-wave state versus stripe state
• Accurate determination of tensor network state of quantum lattice models in two dimensions
• Corner Transfer Matrix Renormalization Group Method
• Exact dimer ground state of the two dimensional Heisenberg spin system SrCu_2(BO_3)_2
• Coarse-graining renormalization by higher-order singular value decomposition
• Simulation of two dimensional quantum systems on an infinite lattice revisited: corner transfer matrix for tensor contraction
• Magnetic Superstructure in the Two-Dimensional Quantum Antiferromagnet SrCu2(BO3)2
• Simulation of strongly correlated fermions in two spatial dimensions with fermionic Projected Entangled-Pair States
• Tensor network states and algorithms in the presence of a global U(1) symmetry
• Canonical Thermal Pure Quantum State
• The iPEPS algorithm, improved: fast full update and gauge fixing
• First-Principles Study of the Honeycomb-Lattice Iridates Na2IrO3 in the Presence of Strong Spin-Orbit Interaction and Electron Correlations
• Thermal Pure Quantum States at Finite Temperature
• Direct Evidence for the Localized Single-Triplet Excitations and the Dispersive Multi-Triplets Excitations in SrCu2(BO3)2
• Fast Algorithm for Finding the Eigenvalue Distribution of Very Large Matrices
• Tensor network study of the Shastry-Sutherland model in zero magnetic field
• Magnetization of SrCu2(BO3)2 in ultrahigh magnetic fields up to 118 T
• Crystals of bound states in the magnetization plateaus of the Shastry-Sutherland model
• Observation of a 4-spin Plaquette Singlet State in the Shastry-Sutherland compound SrCu2(BO3)2
• Magnetostriction and magnetic texture to 97.4 Tesla in frustrated SrCu2(BO3)2
• Dispersion and Symmetry of Bound States in the Shastry-Sutherland Model
• Ground-State Energy and Spin Gap of Spin-1/2 Kagome Heisenberg Antiferromagnetic Clusters: Large Scale Exact Diagonalization Results
• Implementing global Abelian symmetries in projected entangled-pair state algorithms
• Time Evolution of an Infinite Projected Entangled Pair State: an Efficient Algorithm
• Direct observation of the multiple spin gap excitations in two-dimensional dimer system SrCu2(BO3)2
• Topological Triplon Modes and Bound States in a Shastry-Sutherland Magnet
• Functional renormalization for spontaneous symmetry breaking in the Hubbard model
• Magnetism of the N=42 kagome lattice antiferromagnet
• Clues and criteria for designing Kitaev spin liquid revealed by thermal and spin excitations of honeycomb iridates Na${}_2$IrO${}_3$
• Quantum phases of SrCu2(BO3)2 from high-pressure thermodynamics
• Projected Entangled Pair States at Finite Temperature: Imaginary Time Evolution with Ancillas
• Linearized Tensor Renormalization Group Algorithm for Thermodynamics of Quantum Lattice Models
• Fractalization drives crystalline states in a frustrated spin system
• Collective Singlet Excitations and Evolution of Raman Spectral Weights in the 2D Spin Dimer Compound SrCu2(BO3)2
• Exponential Thermal Tensor Network Approach for Quantum Lattice Models
• Variational Approach to Projected Entangled Pair States at Finite Temperature
• Incomplete devil's staircase in the magnetization curve of SrCu2(BO3)2
• A tensor network annealing algorithm for two-dimensional thermal states
• Typicality approach to the optical conductivity in thermal and many-body localized phases
• 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
• Variational tensor network renormalization in imaginary time: benchmark results in the Hubbard model at finite temperature
• Low-Lying Magnetic Excitation of the Shastry-Sutherland Model
• Spin and energy currents in integrable and nonintegrable spin-1/2 chains: A typicality approach to real-time autocorrelations
• Two-temperature scales in the triangular-lattice Heisenberg antiferromagnet
• Quantum spin liquid at finite temperature: proximate dynamics and persistent typicality
• Finding purifications with minimal entanglement
• Sublattice Coding Algorithm and Distributed Memory Parallelization for Large-Scale Exact Diagonalizations of Quantum Many-Body Systems
• Thermodynamic properties of highly frustrated quantum spin ladders: influence of many-particle bound states
• Thermodynamic properties of the Shastry-Sutherland model from quantum Monte Carlo simulations
• Tensor Product Variational Formulation for Quantum Systems
• Magnetocaloric effect in quantum spin-s chains
• Thermal Tensor Renormalization Group Simulations of Square-Lattice Quantum Spin Models
• Projected Entangled Pair States at Finite Temperature: Iterative Self-Consistent Bond Renormalization for Exact Imaginary Time Evolution
• Variational tensor network renormalization in imaginary time: Two-dimensional quantum compass model at finite temperature
• Finite-temperature crossover phenomenon in the $S=1/2$ antiferromagnetic Heisenberg model on the kagome lattice
• Fermionic Projected Entangled Pair States at Finite Temperature
• Matrix product state techniques for two-dimensional systems at finite temperature
• Correlated decay of triplet excitations in the Shastry-Sutherland compound SrCu${}_2$(BO${}_3$)${}_2$
• Overcoming the Sign Problem at Finite Temperature: Quantum Tensor Network for the Orbital $e_g$ Model on an Infinite Square Lattice
• Symmetry and light coupling to phononic and collective magnetic excitations in SrCu_2(BO_3)_2
• Time Evolution of an Infinite Projected Entangled Pair State: an Algorithm from First Principles
• Finite-temperature fidelity and von Neumann entropy in the honeycomb spin lattice with quantum Ising interaction
• Multi-triplet bound states and finite-temperature dynamics in highly frustrated quantum spin ladders
• Thermodynamic Properties of Three-Dimensional Orthogonal Dimer Model for SrCu${}_2$(BO${}_3$)${}_2$

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