Effective Theory of Magnetization Plateaux in the Shastry-Sutherland Lattice

Abstract

We use the non-perturbative Contractor-Renormalization method (CORE) in order to derive an effective model for triplet excitations on the Shastry-Sutherland lattice. For strong enough magnetic fields, various magnetization plateaux are observed, e.g. at 1/8, 1/4, 1/3 of the saturation, as found experimentally in a related compound. Moreover, other stable plateaux are found at 1/9, 1/6 or 2/9. We give a critical review of previous works and try to resolve some apparent inconsistencies between various theoretical approaches.

arXiv commentpublished version with minor changes

References in corpus (13)

• Magnetic Superstructure in the Two-Dimensional Quantum Antiferromagnet SrCu2(BO3)2
• Magnetization plateaus of the Shastry-Sutherland model for SrCu_2(BO_3)_2: SDW, supersolid and bound states
• Dispersion and Symmetry of Bound States in the Shastry-Sutherland Model
• CORE Technology and Exact Hamiltonian Real-Space Renormalization Group Transformations
• Magnetization plateaus of SrCu_2(BO_3)_2 from a Chern-Simons theory
• Supersolid phase induced by correlated hopping in spin-1/2 frustrated quantum magnets
• Field dependence of the quantum ground state in the Shastry-Sutherland system SrCu${}_2$(BO${}_3$)${}_2$
• Low-Lying Magnetic Excitation of the Shastry-Sutherland Model
• Numerical Contractor Renormalization Method for Quantum Spin Models
• Infinite series of magnetization plateaus in the frustrated dimer-plaquette chain
• Core -- a New Computational Technique for Lattice Systems
• NMR evidence for the persistence of spin-superlattice above the 1/8 magnetization plateau in SrCu2(BO3)2
• Contractor-Renormalization approach to frustrated magnets in magnetic field

Cited by in corpus (43)

• Tensor network study of the Shastry-Sutherland model in zero magnetic field
• Topological Order and Absence of Band Insulators at Integer Filling in Non-Symmorphic Crystals
• 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
• Magnetostriction and magnetic texture to 97.4 Tesla in frustrated SrCu2(BO3)2
• Incomplete devil's staircase in the magnetization curve of SrCu2(BO3)2
• Magnetization Plateau of Classical Ising Model on Shastry-Sutherland Lattice
• Phases and magnetization process of an anisotropic Shastry-Sutherland model
• Numerical study of magnetization processes in rare-earth tetraborides
• The effect of Dzyaloshinskii-Moriya interactions on the phase diagram and magnetic excitations of SrCu2(BO3)2
• Magnetic chern bands and triplon Hall effect in an extended Shastry-Sutherland model
• Quantum stabilization of classically unstable plateau structures
• Dynamics and Instabilities of the Shastry-Sutherland Model
• Tensor network study of the $m=1/2$ magnetization plateau in the Shastry-Sutherland model at finite temperature
• Time evolution of an infinite projected entangled pair state: a neighborhood tensor update
• Degeneracy of the 1/8 plateau and antiferromagnetic phases in the Shastry-Sutherland magnet TmB4
• Theory of the field-induced BEC in the frustrated spin-1/2 dimer compound BaCuSi2O6
• Microscopic mechanism for the 1/8 magnetization plateau in SrCu_2(BO_3)_2
• Nuclear Magnetic Resonance in High Magnetic Field: Application to Condensed Matter Physics
• Exact ground states of a spin-1/2 Ising-Heisenberg model on the Shastry-Sutherland lattice in a magnetic field
• Exotic magnetisation plateaus in a quasi-2D Shastry-Sutherland model
• Emergent Bound States and Impurity Pairs in Chemically Doped Shastry-Sutherland System
• Time evolution of an infinite projected entangled pair state: a gradient tensor update in the tangent space
• Phase separation versus supersolid behavior in frustrated antiferromagnets
• Local physics of magnetization plateaux in the Shastry-Sutherland model
• Formation of charge and spin ordering in strongly correlated electron systems
• Unconventional magnetization plateaus in a Shastry-Sutherland spin tube
• Mott transition and Antiferromagnetic Metal on Shastry-Sutherland Lattice
• Tensor network simulation of the quantum Kibble-Zurek quench from the Mott to superfluid phase in the two-dimensional Bose-Hubbard model
• Intermediate magnetization plateaus in the spin-1/2 Ising-Heisenberg and Heisenberg models on two-dimensional triangulated lattices
• Pressure dependence of the magnetization plateaus of SrCu_2(BO_3)_2
• Fractional magnetization plateaux of a spin-1/2 Heisenberg model on the Shastry-Sutherland lattice: effect of quantum XY interdimer coupling
• Simulation of many body localization and time crystals in two dimensions with the neighborhood tensor update
• A high-order study of the quantum critical behavior of a frustrated spin-$\frac{1}{2}$ antiferromagnet on a stacked honeycomb bilayer
• Effects of staggered Dzyaloshinskii-Moriya interactions in a quasi-two-dimensional Shastry-Sutherland model
• Tensor network study of the Shastry-Sutherland model with weak interlayer coupling
• Neural Network Quantum States analysis of the Shastry-Sutherland model
• Strong-coupling expansion and effective hamiltonians
• Bang-bang preparation of quantum many-body ground states in two dimensions: optimization of the algorithm with a two-dimensional tensor network
• Exact ground state of a frustrated integer-spin modified Shastry-Sutherland model
• ENCORE: An Extended Contractor Renormalization algorithm
• Reply to the Comment by S.E. Sebastian and N. Harrison
• Truncating loopy tensor networks by zero-mode gauge fixing