Theory of magnetism for rare-earth magnets on the Shastry-Sutherland lattice with non-Kramers ions
arXiv:2409.12534 · doi:10.1103/PhysRevB.110.214410
Abstract
Motivated by the rapid experimental progress on the rare-earth Shastry-Sutherland lattice magnets, we propose a generic effective spin model that describes interacting non-Kramers local moments on the Shastry-Sutherland lattice. We point out that the local moments consist of both magnetic dipole and quadrupole components and the effective model turns out to be an extended XYZ model with an intrinsic field that accounts for the crystal field splitting. We then study the ground-state phase diagram of the model and find that pure quadrupole orders, which are invisible to conventional experimental probes, can be stabilized over a broad regime. In particular, we show that a hidden ``1/3 magnetization plateau'' with quadrupole orders generally exists and discuss its experimental signatures. Finally, we discuss the relevance of our results to the rare-earth Shastry-Sutherland lattice magnets PrGaBeO and PrBeGeO.
arXiv comment11 pages, 9 figures. Published version
References in corpus (40)
- Anyons in an exactly solved model and beyond
- Quantum Spin Liquids
- Spin Ice State in Frustrated Magnetic Pyrochlore Materials
- Quantum Spin Liquid States
- Quantum Spin Liquids
- Kitaev quantum spin liquid - concept and materialization
- Lieb-Schultz-Mattis in Higher Dimensions
- Competing states in the t-J model: uniform d-wave state versus stripe state
- Exact dimer ground state of the two dimensional Heisenberg spin system SrCu_2(BO_3)_2
- Commensurability, excitation gap and topology in quantum many-particle systems on a periodic lattice
- Studying Two Dimensional Systems With the Density Matrix Renormalization Group
- Differentiable Programming Tensor Networks
- Filling constraints for spin-orbit coupled insulators in symmorphic and non-symmorphic crystals
- 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
- 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
- Quantum phases of SrCu2(BO3)2 from high-pressure thermodynamics
- Exact Demonstration of Magnetization Pleateaus and First Order Dimer-Néel Phase Transitions in a Modified Shastry-Sutherland Model for SrCu(BO)
- Theory of magnetization plateaux in the Shastry-Sutherland model
- Experimental Insights into Ground State Selection of Quantum XY Pyrochlores
- Spin liquids in geometrically perfect triangular antiferromagnets
- 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(BO)
- Phase diagram of the Shastry-Sutherland Compound SrCu2(BO3)2 under extreme combined conditions of field and pressure
- Intertwined dipolar and multipolar order in the triangular-lattice magnet TmMgGaO
- Field dependence of the quantum ground state in the Shastry-Sutherland system SrCu(BO)
- Automatic differentiation applied to excitations with Projected Entangled Pair States
- Hidden multipolar orders of dipole-octupole doublets on a triangular lattice
- Simulating the Shastry-Sutherland Ising Model using Quantum Annealing
- Selective measurements of intertwined multipolar orders: non-Kramers doublets on a triangular lattice
- Intrinsic quantum Ising model on a triangular lattice magnet TmMgGaO and beyond
- Unveiling new quantum phases in the Shastry-Sutherland compound SrCu2(BO3)2up to the saturation magnetic field
- Automatic Differentiation for Second Renormalization of Tensor Networks
- 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
- Magnetic properties of the Shastry-Sutherland lattice material BaNdZnO
- Exact ground states of a spin-1/2 Ising-Heisenberg model on the Shastry-Sutherland lattice in a magnetic field
- Fractional magnetization plateaux of a spin-1/2 Heisenberg model on the Shastry-Sutherland lattice: effect of quantum XY interdimer coupling
- Excitation Spectrum and Spin Hamiltonian of the Frustrated Quantum Ising Magnet PrBWO