Quantum Criticality and Spin Liquid Phase in the Shastry-Sutherland model

Abstract

Using the density-matrix renormalization group method for the ground state and excitations of the Shastry- Sutherland spin model, we demonstrate the existence of a narrow quantum spin liquid phase between the previously known plaquette-singlet and antiferromagnetic states. Our conclusions are based on finite-size scaling of excited level crossings and order parameters. Together with previous results on candidate models for deconfined quantum criticality and spin liquid phases, our results point to a unified quantum phase diagram where the deconfined quantum-critical point separates a line of first-order transitions and a gapless spin liquid phase. The frustrated Shastry-Sutherland model is close to the critical point but slightly inside the spin liquid phase, while previously studied unfrustrated models cross the first-order line. We also argue that recent heat capacity measurements in SrCu2(BO3)2 show evidence of the proposed spin liquid at pressures between 2.6 and 3 GPa.

12 pages 12 figs, v3: minor additions

References in corpus (18)

• The density-matrix renormalization group in the age of matrix product states
• "Deconfined" quantum critical points
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Quantum magnetism and criticality
• From density-matrix renormalization group to matrix product states
• Scaling in the Fan of an Unconventional Quantum Critical Point
• From an Antiferromagnet to a Valence Bond Solid: Evidence for a First Order Phase Transition
• Quantum Spin Liquid in Spin 1/2 J1-J2 Heisenberg Model on Square Lattice: Many-Variable Variational Monte Carlo Study Combined with Quantum-Number Projections
• Real-Space Parallel Density Matrix Renormalization Group
• Gapless spin liquid and valence-bond solid in the $J_1-J_2$ Heisenberg model on the square lattice: insights from singlet and triplet excitations
• The emergence of gapless quantum spin liquid from deconfined quantum critical point
• Transitions to valence-bond solid order in a honeycomb lattice antiferromagnet
• A Novel Ordered Phase in SrCu2(BO3)2 under High Pressure
• Rise and fall of plaquette order in Shastry-Sutherland magnet revealed by pseudo-fermion functional renormalization group
• Level spectroscopy in a two-dimensional quantum magnet: Linearly dispersing spinons at the deconfined quantum critical point
• Deconfined criticality and a gapless ${\mathbb{Z}}_2$ spin liquid in the square lattice antiferromagnet
• Emergent O(4) symmetry at the phase transition from plaquette-singlet to antiferromagnetic order in quasi-two-dimensional quantum magnets
• Identifying topological order in the Shastry-Sutherland model via entanglement entropy

Cited by in corpus (53)

• 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
• The emergence of gapless quantum spin liquid from deconfined quantum critical point
• Scaling of disorder operator at deconfined quantum criticality
• Spectral function of the $J_1-J_2$ Heisenberg model on the triangular lattice
• Deconfined criticality and a gapless ${\mathbb{Z}}_2$ spin liquid in the square lattice antiferromagnet
• 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
• 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
• Absence of spin liquid phase in the $J_1-J_2$ Heisenberg model on the square lattice
• Emergent O(4) symmetry at the phase transition from plaquette-singlet to antiferromagnetic order in quasi-two-dimensional quantum magnets
• Field-Induced Partial Disorder in a Shastry-Sutherland Lattice
• Candidate quantum disordered intermediate phase in the Heisenberg antiferromagnet on the maple-leaf lattice
• A Candidate for the Quantum Spin Liquid Ground-State in the Shastry-Sutherland Lattice Material Yb${}_2$Be${}_2$GeO${}_7$
• Phase diagram of the $J$-$J_d$ Heisenberg Model on the Maple-Leaf Lattice: Neural networks and density matrix renormalization group
• Quantum criticality with emergent symmetry in the extended Shastry-Sutherland model
• Exact quantum ground state of a two-dimensional quasicrystalline antiferromagnet
• Investigating Berezinskii-Kosterlitz-Thouless phase transitions in Kagome spin ice by quantifying Monte Carlo process: Distribution of Hamming distances
• Thermal first-order phase transitions, Ising critical points, and reentrance in the Ising-Heisenberg model on the diamond-decorated square lattice in a magnetic field
• Schwinger boson symmetric spin liquids of Shastry-Sutherland model
• Thermally populated versus field-induced triplon bound states in the Shastry-Sutherland lattice SrCu${}_2$(BO${}_3$)${}_2$
• Deconfined Quantum Critical Point: A Review of Progress
• Variational adiabatic transport of tensor networks
• Efficient calculation of three-dimensional tensor networks
• Deconfined quantum critical point lost in pressurized SrCu2(BO3)2
• Equivariant Variational Quantum Eigensolver to detect Phase Transitions through Energy Level Crossings
• Spin waves and three-dimensionality in the high-pressure antiferromagnetic phase of SrCu${}_2$(BO${}_3$)${}_2$
• Emergent criticality in fully frustrated quantum magnets
• Tensor network study of the Shastry-Sutherland model with weak interlayer coupling
• Neural Network Quantum States analysis of the Shastry-Sutherland model
• Engineering frustrated Rydberg spin models by graphical Floquet modulation
• 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
• Classical and quantum spin liquids
• Correlation Effects in a Simplified Bilayer Two-Orbital Hubbard Model at Half Filling
• Competing orders, the Wess-Zumino-Witten term, and spin liquids
• Exact staggered dimer ground state and its stability in a two-dimensional magnet
• Poisson-Dirichlet distributions and weakly first-order spin-nematic phase transitions
• From the Shastry-Sutherland model to the $J_1$-$J_2$ Heisenberg model
• Design principles of deep translationally-symmetric neural quantum states for frustrated magnets
• Anomalous thermal broadening in the Shastry-Sutherland model and SrCu${}_2($BO${}_3{)}_2$
• Unconventional orders in the maple-leaf ferro-antiferromagnetic Heisenberg model
• Haldane phases and phase diagrams of the S = 3/2, 1 bilinear-biquadratic Heisenberg model on the orthogonal dimer chain
• 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
• Single-layer framework of variational tensor network states
• Spiral Phase and Phase Diagram of the $S$=1/2 XXZ Model on the Shastry-Sutherland Lattice
• High-precision ground state parameters of the two-dimensional spin-1/2 Heisenberg model on the square lattice
• Numerical Diagonalization Study of the Phase Boundaries of the S=2 Heisenberg Antiferromagnet on the Orthogonal Dimer Lattice
• Solving Sharp Bounded-error Quantum Polynomial Time Problem by Evolution methods
• Accurate computation of the energy variance and $⟨⟨{\mathcal{L}}^{†}\mathcal{L}⟩⟩$ using iPEPS