Magnetization plateaus in spin chains: ``Haldane gap'' for half-integer spins

Abstract

We discuss zero-temperature quantum spin chains in a uniform magnetic field, with axial symmetry. For integer or half-integer spin, $S$, the magnetization curve can have plateaus and we argue that the magnetization per site $m$ is topologically quantized as $q(S-m)=integer$ at the plateaus, where $q$ is the period of the groundstate. We also discuss conditions for the presence of the plateau at those quantized values. For $S=3/2$ and $m=1/2$, we study several models and find two distinct types of massive phases at the plateau. One of them is argued to be a ``Haldane gap phase'' for half-integer $S$.

Revised version, to appear in Phys. Rev. Lett. (no changes in main conclusions); 5 pages, REVTEX with 2 figures in eps

References in corpus (3)

• Magnetic Properties of the Spin-1/2 Ferromagnetic-Ferromagnetic-Antiferromagnetic Trimerized Heisenberg Chain:
• Plateau of the Magnetization Curve of the S=1/2 Ferromagnetic-Ferromagnetic-Antiferromagnetic Spin Chain
• Optimum ground states for spin-$\frac{3}{2}$ chains

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• Successive magnetic orderings in the Ising spin chain magnet DyNi${}_5$Ge${}_3$
• Magnetic properties of an antiferromagnetic spin-1/2 XYZ model in the presence of different magnetic fields: finite-size effects of inhomogeneity property
• Quantum phase transition in skewed ladders: an entanglement entropy and fidelity study
• Magneto-elastic effects and magnetization plateaus in two dimensional systems
• Nonsymmorphic spin-space cubic groups and SU(2)${}_1$ conformal invariance in one-dimensional spin-1/2 models
• Competition between dimerization and vector chirality in the spin-$3/2$ $J_1$-$J_2$ Heisenberg chain with uniaxial single-ion anisotropy
• Site-centered impurities in quantum spin chains
• A general CFT model for antiferromagnetic spin-1/2 ladders with Mobius boundary conditions
• Geometric frustration and magnetization plateaus in quantum spin and Bose-Hubbard models on tubes
• Identification of gapless phases by a twisting operator
• Recent progress in quantum spin liquids, fractional magnetization plateaus, and unconventional superconductivity in kagome lattices
• Charge density plateaux and insulating phases in the $t-J$ model with ladder geometry
• Translational Symmetry Broken Magnetization Plateau of the $S=2$ Antiferromagnetic Chain with Anisotropies
• Effect of monomer-monomer interactions on the phase diagrams of the S=1/2 distorted diamond type quantum spin chain
• Ab-Initio Approach to Many-Body Quantum Spin Dynamics
• Insulator phases of Bose-Fermi mixtures induced by intraspecies next-neighbor interactions
• Spacetime symmetry-enriched SymTFT: from LSM anomalies to modulated symmetries and beyond
• On the ground-state properties of antiferromagnetic half-integer spin chains with long-range interactions
• Ground-State Phase Diagram of (1/2,1/2,1) Mixed Diamond Chains
• Translational-Symmetry-Broken Magnetization Plateaux of the $S=3/2$ Anisotropic Antiferromagnetic Chain
• Bosonic representation of spin operators in the field-induced critical phase of spin-1 Haldane chains
• $Z_2\times Z_2$ symmetry and $Z_4$ Berry phase of bosonic ladder
• Magnetization Plateau of the Distorted Diamond Spin Chain
• Heisenberg spin chains with additional isotropic three-site exchange interactions
• Quantum phase with spontaneous translational symmetry breaking in an extended diamond chain
• Exact quantization of topological order parameter in SU($N$) spin models, $N$-ality transformation and ingappabilities
• Quantum Phase Transitions in Skewed Ladder Systems
• Magnetic plateaus and jumps in a spin-1/2 ladder with alternate Ising-Heisenberg rungs: a field dependent study
• Dynamical Structure Factors of the S=1/2 Bond-Alternating Spin Chain with a Next-Nearest-Neighbor Interaction in Magnetic Fields
• Spin dynamics of antiferromagnets in the presence of a homogeneous magnetization
• Energy gap of neutral excitations implies vanishing charge susceptibility
• Fermi surface as a quantum critical manifold: gaplessness, order parameter, and scaling in $d$-dimensions
• Anisotropy-induced spin parity effects
• Phase diagram of a spin-1/2 Heisenberg ladder with a chirality-chirality interaction
• Quasi-Spin Correlations in a Frustrated Quantum Spin Ladder
• There is life in the old horse yet or what else we can learn studying spin-1/2 XY chains
• Magnetic anisotropy effect on stabilizing magnetization plateaus of kagome strip chain Heisenberg antiferromagnets
• Quantized edge magnetizations and their symmetry protection in one-dimensional quantum spin systems
• Möbius molecules and fragile Mott insulators
• Quantum Entanglement Generation in the Heterometallic Ni${}_4^{\text{2+}}$Gd${}_4^{\text{3+}}$ Complexes
• Excitations of a low-dimensional dimerized spin ladder under a magnetic field
• Generalization of the Affleck-Kennedy-Lieb-Tasaki Model for Quantum Ferromagnetism
• Spin Effects in Quantum Chromodynamics and Recurrence Lattices with Multi-Site Exchanges
• Fermionic Approach to Elementary Excitations and Magnetization Plateaus in an S=1/2 XX Hybrid Trimer-Dimer Chain
• Geometric Effects on Tunneling in Driven Quantum Systems
• Polarization-based indices in quantum many-body systems: validity and extension beyond one dimension