Spiral Phase and Phase Diagram of the $S$=1/2 XXZ Model on the Shastry-Sutherland Lattice

Abstract

We investigate the ground-state phase diagram of the $S$=1/2 XXZ model on the two-dimensional Shastry-Sutherland lattice using exact diagonalization (ED), density-matrix renormalization group (DMRG), and cluster mean-field theory (CMFT) with DMRG as a solver. In the isotropic case ($\Delta =1$), CMFT results reveal an intermediate empty plaquette (EP) phase that has a lower energy than the full plaquette (FP) phase. However, due to mean-field artifacts, CMFT alone is not suitable for accurately determining phase boundaries. Therefore, we combined three methods to map out the reliable phase diagram. Our calculations show that the EP phase narrows as $\Delta$ deviates from unity and eventually vanishes. More importantly, we identify a spiral phase at small $\Delta$, which has not been reported in previous studies. This phase is clearly captured by DMRG simulations on long cylindrical geometries. The competition between the EP, spiral, and $xy$-AFM phases near their boundaries provides a plausible explanation for the emergent spin-liquid-like behavior in RE${}_2$Be${}_2$GeO${}_2$, while shedding new light on the role of XXZ anisotropy in the Shastry-Sutherland XXZ model.

arXiv comment11 pages, 7 figures

References in corpus (50)

• "Deconfined" quantum critical points
• The ITensor Software Library for Tensor Network Calculations
• Exact dimer ground state of the two dimensional Heisenberg spin system SrCu_2(BO_3)_2
• Spin liquid phase of the $S=\frac{1}{2}$ $J_1-J_2$ Heisenberg model on the triangular lattice
• Disorder-Induced Mimicry of a Spin Liquid in YbMgGaO${}_4$
• Quantum Phase Transitions in the Shastry-Sutherland Model for $\mathbf{SrC}{\mathbf{u}}_2(\mathbf{B}{\mathbf{O}}_3{)}_2$
• Quantum Phase Diagram of the Triangular-Lattice XXZ Model in a Magnetic Field
• 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
• Topography of Spin Liquids on a Triangular Lattice
• Observation of a 4-spin Plaquette Singlet State in the Shastry-Sutherland compound SrCu2(BO3)2
• Dirac-type nodal spin liquid revealed by refined quantum many-body solver using neural-network wave function, correlation ratio, and level spectroscopy
• A quantum magnetic analogue to the critical point of water
• Anisotropic-Exchange Magnets on a Triangular Lattice: Spin Waves, Accidental Degeneracies, and Dual Spin Liquids
• Quantum phases of SrCu2(BO3)2 from high-pressure thermodynamics
• Phase Diagram of the quadrumerized Shastry-Sutherland Model
• Quantum Phases of the Shastry-Sutherland Antiferromagnet
• Quantum Criticality and Spin Liquid Phase in the Shastry-Sutherland model
• Incomplete devil's staircase in the magnetization curve of SrCu2(BO3)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
• Signatures of a Deconfined Phase Transition on the Shastry-Sutherland Lattice: Applications to Quantum Critical SrCu${}_2$(BO${}_3$)${}_2$
• Cluster Gutzwiller method for bosonic lattice systems
• Correlated cluster mean-field theory for spin systems
• Quantum phases of hardcore bosons with long-range interactions on a square lattice
• Dipolar Bosons in Triangular Optical Lattices: Quantum Phase Transitions and Anomalous Hysteresis
• Competition between intermediate plaquette phases in SrCu${}_2$(BO${}_3$)${}_2$ under pressure
• A Novel Ordered Phase in SrCu2(BO3)2 under High Pressure
• Level spectroscopy in a two-dimensional quantum magnet: Linearly dispersing spinons at the deconfined quantum critical point
• Rise and fall of plaquette order in Shastry-Sutherland magnet revealed by pseudo-fermion functional renormalization group
• Continuous and Discontinuous Quantum Phase Transitions in a Model Two-Dimensional Magnet
• Supersolidity, entropy and frustration
• First-order phase transition and anomalous hysteresis of Bose gases in optical lattices
• Quantum spin liquid phase in the Shastry-Sutherland model detected by an improved level spectroscopic method
• Plaquette Singlet Transition, Magnetic Barocaloric Effect, and Spin Supersolidity in the Shastry-Sutherland Model
• 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
• Quantum Electrodynamics in 2+1 Dimensions as the Organizing Principle of a Triangular Lattice Antiferromagnet
• Correlated decay of triplet excitations in the Shastry-Sutherland compound SrCu${}_2$(BO${}_3$)${}_2$
• Phase Diagram of the Easy-Axis Triangular-Lattice $J_1-J_2$ Model
• A Candidate for the Quantum Spin Liquid Ground-State in the Shastry-Sutherland Lattice Material Yb${}_2$Be${}_2$GeO${}_7$
• Quantum criticality with emergent symmetry in the extended Shastry-Sutherland model
• Emergence of One-Dimensional Physics from the Distorted Shastry-Sutherland Lattice
• Spectra of a Gapped Quantum Spin Liquid with a Strong Chiral Excitation on the Triangular Lattice
• Deconfined Quantum Critical Point: A Review of Progress
• Phase diagram and magnetic excitations of $J_1$-$J_3$ Heisenberg model on the square lattice
• Deconfined quantum critical point lost in pressurized SrCu2(BO3)2
• Theory of rare-earth Kramers magnets on a Shastry-Sutherland lattice: dimer phases in presence of strong spin-orbit coupling
• Theory of magnetism for rare-earth magnets on the Shastry-Sutherland lattice with non-Kramers ions
• Exact diagonalization study of triangular Heisenberg model with four-spin ring-exchange interaction