Quantum spin liquid phase in the Shastry-Sutherland model revealed by high-precision infinite projected entangled-pair states

Abstract

The Shastry-Sutherland model is an effective model of the layered material SrCu${}_2$(BO${}_3$)${}_2$, which exhibits an extremely rich phase diagram as a function of pressure and magnetic field. Motivated by the recent controversy regarding its phase diagram at zero magnetic field, we perform large-scale simulations based on infinite projected entangled-pair states (iPEPS), a two-dimensional tensor network ansatz to represent the ground state directly in the thermodynamic limit. By employing the latest optimization techniques, we obtain variational states with lower energy than previous results obtained from other methods. Using systematic extrapolations to the exact infinite bond dimension limit, our simulations reveal a narrow quantum spin liquid phase between the plaquette and antiferromagnetic phases in the range $0.785(5)\le J^{\prime }/J\le 0.82(1)$.

8 pages, 8 figures

References in corpus (87)

• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Computational Studies of Quantum Spin Systems
• Accurate determination of tensor network state of quantum lattice models in two dimensions
• Competing states in the t-J model: uniform d-wave state versus stripe state
• Gapless spin-liquid ground state in the $S=1/2$ kagome antiferromagnet
• Theory of finite-entanglement scaling at one-dimensional quantum critical points
• Magnetic Superstructure in the Two-Dimensional Quantum Antiferromagnet SrCu2(BO3)2
• Scaling of entanglement support for Matrix Product States
• Tensor network states and algorithms in the presence of a global U(1) symmetry
• Quantum Phase Transitions in the Shastry-Sutherland Model for $\mathbf{SrC}{\mathbf{u}}_2(\mathbf{B}{\mathbf{O}}_3{)}_2$
• Differentiable Programming Tensor Networks
• Variational optimization with infinite projected entangled-pair states
• The iPEPS algorithm, improved: fast full update and gauge fixing
• Stripes in the two-dimensional t-J model with infinite projected entangled-pair states
• Direct evidence for a gapless $Z_2$ spin liquid by frustrating Néel antiferromagnetism
• Gradient methods for variational optimization of projected entangled-pair states
• Tensor network study of the Shastry-Sutherland model in zero magnetic field
• Critical level crossings and gapless spin liquid in the square-lattice spin-$1/2$ $J_1$-$J_2$ Heisenberg antiferromagnet
• 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
• Hall effect of triplons in a dimerized quantum magnet
• 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
• Loop updates for variational and projector quantum Monte Carlo simulations in the valence-bond basis
• Dirac-type nodal spin liquid revealed by refined quantum many-body solver using neural-network wave function, correlation ratio, and level spectroscopy
• Implementing global Abelian symmetries in projected entangled-pair state algorithms
• A quantum magnetic analogue to the critical point of water
• Topological Triplon Modes and Bound States in a Shastry-Sutherland Magnet
• Dzyaloshinski-Moriya Interaction in the 2D Spin Gap System SrCu2(BO3)2
• Quantum phases of SrCu2(BO3)2 from high-pressure thermodynamics
• Phase Diagram of the quadrumerized Shastry-Sutherland Model
• Finite Correlation Length Scaling in Lorentz-Invariant Gapless iPEPS Wave Functions
• Fractalization drives crystalline states in a frustrated spin system
• Magnetic field induced quantum phases in a tensor network study of Kitaev magnets
• Quantum Criticality and Spin Liquid Phase in the Shastry-Sutherland model
• First order phase transition in the anisotropic quantum orbital compass model
• Finite correlation length scaling with infinite projected entangled-pair states
• Incomplete devil's staircase in the magnetization curve of SrCu2(BO3)2
• Period 4 stripe in the extended two-dimensional Hubbard model
• Non-Abelian chiral spin liquid in a quantum antiferromagnet revealed by an iPEPS study
• Precise extrapolation of the correlation function asymptotics in uniform tensor network states with application to the Bose-Hubbard and XXZ models
• Signatures of a Deconfined Phase Transition on the Shastry-Sutherland Lattice: Applications to Quantum Critical SrCu${}_2$(BO${}_3$)${}_2$
• Proximate deconfined quantum critical point in SrCu2(BO3)2
• Phase diagram of the Shastry-Sutherland Compound SrCu2(BO3)2 under extreme combined conditions of field and pressure
• Thermodynamic properties of the Shastry-Sutherland model throughout the dimer-product phase
• Field dependence of the quantum ground state in the Shastry-Sutherland system SrCu${}_2$(BO${}_3$)${}_2$
• The spin-1/2 square-lattice J_1-J_2 model: The spin-gap issue
• Competition between intermediate plaquette phases in SrCu${}_2$(BO${}_3$)${}_2$ under pressure
• Investigation of the Néel phase of the frustrated Heisenberg antiferromagnet by differentiable symmetric tensor networks
• Automatic differentiation applied to excitations with Projected Entangled Pair States
• 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
• Finite correlation length scaling with infinite projected entangled pair states at finite temperature
• Characterization of quantum spin liquids and their spinon band structures via functional renormalization
• Thermodynamic properties of the Shastry-Sutherland model from quantum Monte Carlo simulations
• The effect of Dzyaloshinskii-Moriya interactions on the phase diagram and magnetic excitations of SrCu2(BO3)2
• Emergent Haldane phase in the $S=1$ bilinear-biquadratic Heisenberg model on the square lattice
• Competing Spin-Gap Phases in a Frustrated Quantum Spin System in Two Dimensions
• 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
• SU(6) Heisenberg model on the honeycomb lattice: competition between plaquette and chiral order
• A ground state study of the spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice using tensor networks
• Spin-$\frac{1}{2}$ Heisenberg antiferromagnet on the star lattice: Competing valence-bond-solid phases studied by means of tensor networks
• Unveiling new quantum phases in the Shastry-Sutherland compound SrCu2(BO3)2up to the saturation magnetic field
• Sign-switching of dimer correlations in SrCu${}_2$(BO${}_3$)${}_2$ under hydrostatic pressure
• Field-enhanced quantum fuctuation in S=1/2 frustrated square lattice
• Superconducting stripes in the hole-doped three-band Hubbard model
• Plaquette Singlet Transition, Magnetic Barocaloric Effect, and Spin Supersolidity in the Shastry-Sutherland Model
• Quantum spin liquid phase in the Shastry-Sutherland model detected by an improved level spectroscopic method
• First-order transition between the plaquette valence bond solid and antiferromagnetic phases of the Shastry-Sutherland model
• Transformer Wave Function for two dimensional frustrated magnets: emergence of a Spin-Liquid Phase in the Shastry-Sutherland Model
• A scaling hypothesis for projected entangled-pair states
• Ground-State Phase Diagram for the Three-Dimensional Orthogonal-Dimer System
• SU(3) Fermions on the Honeycomb Lattice at 1/3-Filling
• Diagnosing weakly first-order phase transitions by coupling to order parameters
• Fractional quantum Hall states with variational Projected Entangled-Pair States: a study of the bosonic Harper-Hofstadter model
• Quantum criticality with emergent symmetry in the extended Shastry-Sutherland model
• Spin-one bilinear-biquadratic model on a star lattice
• Phase diagram of the chiral SU(3) antiferromagnet on the kagome lattice
• Quantum spin liquid phases in the bilinear-biquadratic two-SU(4)-fermion Hamiltonian on the square lattice
• Stable and efficient differentiation of tensor network algorithms
• Spectral functions with infinite projected entangled-pair states
• Deconfined quantum critical point lost in pressurized SrCu2(BO3)2
• Spin waves and three-dimensionality in the high-pressure antiferromagnetic phase of SrCu${}_2$(BO${}_3$)${}_2$
• Tensor network study of the Shastry-Sutherland model with weak interlayer coupling
• Competing States in the Two-Dimensional Frustrated Kondo-Necklace Model
• Anomalous thermal broadening in the Shastry-Sutherland model and SrCu${}_2($BO${}_3{)}_2$

Cited by in corpus (1)

• Accurate computation of the energy variance and $⟨⟨{\mathcal{L}}^{†}\mathcal{L}⟩⟩$ using iPEPS