Exotic magnetisation plateaus in a quasi-2D Shastry-Sutherland model

Abstract

We find unconventional Mott insulators in a quasi-2D version of the Shastry-Sutherland model in a magnetic field. In our realization on a 4-leg tube geometry, these are stabilized by correlated hopping of localized magnetic excitations. Using perturbative continuous unitary transformations (pCUTs, plus classical approximation or exact diagonalization) and the density matrix renormalisation group method (DMRG), we identify prominent magnetization plateaus at magnetizations M=1/8, M=3/16, M=1/4, and M=1/2. While the plateau at M=1/4 can be understood in a semi-classical fashion in terms of diagonal stripes, the plateau at M=1/8 displays highly entangled wheels in the transverse direction of the tube. Finally, the M=3/16 plateau is most likely to be viewed as a classical 1/8 structure on which additional triplets are fully delocalized around the tube. The classical approximation of the effective model fails to describe all these plateau structures which benefit from correlated hopping. We relate our findings to the full 2D system, which is the underlying model for the frustrated quantum magnet SrCu(BO_3)_2.

15 pages, 12 figures

References in corpus (28)

• The density-matrix renormalization group
• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• Exact dimer ground state of the two dimensional Heisenberg spin system SrCu_2(BO_3)_2
• Studying Two Dimensional Systems With the Density Matrix Renormalization Group
• Neel order in square and triangular lattice Heisenberg models
• Magnetic Superstructure in the Two-Dimensional Quantum Antiferromagnet SrCu2(BO3)2
• Perturbation Theory by Flow Equations: Dimerized and Frustrated S=1/2 Chain
• Direct Evidence for the Localized Single-Triplet Excitations and the Dispersive Multi-Triplets Excitations in SrCu2(BO3)2
• Tensor network study of the Shastry-Sutherland model in zero magnetic field
• 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
• Magnetization plateaus of the Shastry-Sutherland model for SrCu_2(BO_3)_2: SDW, supersolid and bound states
• Magnetostriction and magnetic texture to 97.4 Tesla in frustrated SrCu2(BO3)2
• Excitations in one-dimensional S=1/2 quantum antiferromagnets
• The Structure of Operators in Effective Particle-Conserving Models
• Magnetization plateaus as insulator-superfluid transitions in quantum spin systems
• Fractalization drives crystalline states in a frustrated spin system
• Theory of magnetization plateaux in the Shastry-Sutherland model
• Incomplete devil's staircase in the magnetization curve of SrCu2(BO3)2
• Effective Theory of Magnetization Plateaux in the Shastry-Sutherland Lattice
• 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${}_3$)${}_2$
• Single-particle versus pair condensation of hard-core bosons with correlated hopping
• Theory of spin density profile in the magnetization plateaus of SrCu_2(BO_3)_2
• Microscopic mechanism for the 1/8 magnetization plateau in SrCu_2(BO_3)_2
• Absence of single particle Bose-Einstein condensation at low densities for bosons with correlated-hopping
• Magnetization Plateaus in the Shastry-Sutherland Model for SrCu_2(BO_3)_2: Results of Fourth-Order Perturbation Expansion with a Low-Density Approximation
• Unconventional magnetization plateaus in a Shastry-Sutherland spin tube

Cited by in corpus (9)

• Magnetic chern bands and triplon Hall effect in an extended Shastry-Sutherland model
• Exact ground states of a spin-1/2 Ising-Heisenberg model on the Shastry-Sutherland lattice in a magnetic field
• Enhancement of magnetization plateaus in low dimensional spin systems
• 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
• Magnetization plateaus and bipartite entanglement of an exactly solved spin-1/2 Ising-Heisenberg orthogonal-dimer chain
• 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
• Neural Network Quantum States analysis of the Shastry-Sutherland model