Magnetization plateaus as insulator-superfluid transitions in quantum spin systems

Abstract

We study the magnetization process in two-dimensional S=1/2 spin systems, to discuss the appearance of a plateau structure. The following three cases are considered: (1) the Heisenberg antiferromagnet and multiple-spin exchange model on the triangular lattice, (2) Shastry-Sutherland type lattice, [which is a possible model for SrCu2(BO3)2,] (3) 1/5-depleted lattice (for CaV4O9). We find in these systems that magnetization plateaus can appear owing to a transition from superfluid to a Mott insulator of magnetic excitations. The plateau states have CDW order of the excitations. The magnetizations of the plateaus depend on components of the magnetic excitations, range of the repulsive interaction, and the geometry of the lattice.

5 pages, RevTeX, 7 figures, note and reference added

Cited by in corpus (72)

• Magnetic Superstructure in the Two-Dimensional Quantum Antiferromagnet SrCu2(BO3)2
• Quantum Phase Transitions in the Shastry-Sutherland Model for $\mathbf{SrC}{\mathbf{u}}_2(\mathbf{B}{\mathbf{O}}_3{)}_2$
• Magnetization plateaus in frustrated antiferromagnetic quantum spin models
• Fractional magnetization plateaus and magnetic order in the Shastry Sutherland magnet TmB4
• 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
• Dispersion and Symmetry of Bound States in the Shastry-Sutherland Model
• Exact eigenstates and macroscopic magnetization jumps in strongly frustrated spin lattices
• Quantum magnetism in two dimensions: From semi-classical Néel order to magnetic disorder
• Numerical study of magnetization plateaux in the spin-1/2 kagome Heisenberg antiferromagnet
• Frustrated quantum magnets
• Magnetization plateaus of SrCu_2(BO_3)_2 from a Chern-Simons theory
• ESR study on the excited state energy spectrum of SrCu${}_2$(BO${}_3$)${}_2$ -a central role of multiple-triplet bound states
• Magnetic-field induced spin-Peierls instability in strongly frustrated quantum spin lattices
• Supersolid phase induced by correlated hopping in spin-1/2 frustrated quantum magnets
• Low-Lying Magnetic Excitation of the Shastry-Sutherland Model
• First-order quantum phase transition in the orthogonal-dimer spin chain
• Phases and magnetization process of an anisotropic Shastry-Sutherland model
• The effect of Dzyaloshinskii-Moriya interactions on the phase diagram and magnetic excitations of SrCu2(BO3)2
• From classical to quantum Kagome antiferromagnet in a magnetic field
• Magnetic chern bands and triplon Hall effect in an extended Shastry-Sutherland model
• Dynamics and Instabilities of the Shastry-Sutherland Model
• Fractional S^z excitation and its bound state around the 1/3 plateau of the S=1/2 Ising-like zigzag XXZ chain
• Magnetization plateaus in the ferromagnetic-ferromagnetic-antiferromagnetic Ising chain
• Theory of spin density profile in the magnetization plateaus of SrCu_2(BO_3)_2
• Tensor network study of the $m=1/2$ magnetization plateau in the Shastry-Sutherland model at finite temperature
• Two-Triplet-Dimer Excitation Spectra in the Shastry-Sutherland Model for SrCu_2(BO_3)_2
• Variational treatment of the Shastry-Sutherland antiferromagnet using Projected Entangled Pair States (PEPS)
• Degeneracy of the 1/8 plateau and antiferromagnetic phases in the Shastry-Sutherland magnet TmB4
• Field-Induced Effects of Anisotropic Magnetic Interactions in SrCu2(BO3)2
• Unveiling new quantum phases in the Shastry-Sutherland compound SrCu2(BO3)2up to the saturation magnetic field
• Continuous and Discontinuous Quantum Phase Transitions in a Model Two-Dimensional Magnet
• Another Exact Ground State of a 2D Quantum Antiferromagnet
• Evolving Devil's staircase magnetization from tunable charge density waves in nonsymmorphic Dirac semimetals
• Localized-magnon states in strongly frustrated quantum spin lattices
• Geometric phases and the magnetization process in quantum antiferromagnets
• Microscopic mechanism for the 1/8 magnetization plateau in SrCu_2(BO_3)_2
• Magnetization Process of the Classical Heisenberg Model on the Shastry-Sutherland Lattice
• Ground-State Phase Diagram for the Three-Dimensional Orthogonal-Dimer System
• Correlated decay of triplet excitations in the Shastry-Sutherland compound SrCu${}_2$(BO${}_3$)${}_2$
• Kinetic frustration induced supersolid in the $S=1/2$ kagome lattice antiferromagnet in a magnetic field
• Magnetization Plateaus in the Shastry-Sutherland Model for SrCu_2(BO_3)_2: Results of Fourth-Order Perturbation Expansion with a Low-Density Approximation
• Maple Leaf Antiferromagnet 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
• Frustration-induced phase transitions in the spin-S orthogonal-dimer chain
• Emergence of Irrationality: Magnetization Plateaux in Modulated Hubbard Chains
• Low-energy structure of the intertwining double-chain ferrimagnets A_3_Cu_3_(PO_4_)_4_ (A=Ca,Sr,Pb)
• Cu nuclear spin-spin coupling in the dimer singlet state in SrCu2(BO3)2
• Ferromagnetically coupled dimers on the distorted Shastry-Sutherland lattice: Application to (CuCl)LaNb2O7
• Exact quantum ground state of a two-dimensional quasicrystalline antiferromagnet
• Structural instability of two- and three-dimensional pyrochlore spin lattices in high magnetic fields
• Electron spin resonance for the detection of long-range spin nematic order
• Pressure dependence of the magnetization plateaus of SrCu_2(BO_3)_2
• Combined analytical and numerical approach to study magnetization plateaux in doped quasi-one-dimensional antiferromagnets
• Numerical study of magnetization plateaux in the spin-1/2 Heisenberg antiferromagnet on the checkerboard lattice
• Magnetic plateaus in the 1D antiferromagnetic spin-3/2 and spin-2 Ising chains with single-ion anisotropy
• Generalised Shastry-Sutherland Models in three and higher dimensions
• Chern-Simons Theory for Magnetization Plateaus of Frustrated $J_1$-$J_2$ Heisenberg model
• Thermal entanglement of qubit pairs on the Shastry-Sutherland lattice
• Abundant quadrupolar or nematic phases driven by the Heisenberg interactions in a spin-1 dimer system forming a bilayer
• Quantum phase transitions of the S=1 Shastry-Sutherland model
• Quantum melting of incommensurate domain walls in two dimensions
• RKKY plateau in zero- and one-dimensional triangular Kagome lattice models
• Numerical Study of Excited States in the Shastry-Sutherland Model
• Structural distortions of frustrated quantum spin lattices in high magnetic fields
• Multi-Triplet Magnons in SrCu${}_2$(BO${}_3$)${}_2$ Studied by Thermal Conductivity Measurements in Magnetic Fields
• Magneto-elastic effects and magnetization plateaus in two dimensional systems
• Triplons, triplon pairs and dynamical symmetries in laser-driven Shastry-Sutherland magnets
• Anomalous thermal broadening in the Shastry-Sutherland model and SrCu${}_2($BO${}_3{)}_2$
• Instability of isolated triplet excitations on the Shastry-Sutherland lattice (SSL)
• Hole Dynamics in the Orthogonal-Dimer Spin System