Magnetic Properties of the Spin-1/2 Ferromagnetic-Ferromagnetic-Antiferromagnetic Trimerized Heisenberg Chain:

Abstract

The magnetic properties of the ferromagnetic-ferromagnetic-antiferromagnetic trimerized spin-1/2 Heisenberg chain are studied theoretically. The high temperature susceptibilty and the ground state saturation magnetic field are calculated and the exchange energies of the trimer compound 3CuCl${}_2\cdot$2dx are determined. The magnetization curve is obtained by numerical diagonalization of finite size systems. The result explains the low temperature magnetization data for 3CuCl${}_2\cdot$2dx with the exchange energies obtained as above. It is predicted that the magnetization curve has a plateau at 1/3 of the saturation magnetization if the ferromagnetic exchange energy is comparable to or smaller than the antiferromagnetic exchange energy.

15 pages, LaTeX, Style Fie 'jour.sty' and postscript file for the figures included. SKPH-93-C001

References in corpus (1)

• Phase diagram of the S=1/2 quantum spin chain with bond alternation

Cited by in corpus (90)

• Magnetization plateaus in spin chains: ``Haldane gap'' for half-integer spins
• Commensurability, excitation gap and topology in quantum many-particle systems on a periodic lattice
• One-Dimensional Magnetism
• Magnetization plateau in S=3/2 antiferromagnetic Heisenberg chain with anisotropy
• Plateau of the Magnetization Curve of the S=1/2 Ferromagnetic-Ferromagnetic-Antiferromagnetic Spin Chain
• Frustrated trimer chain model and Cu3Cl6(H2O)2 2H8C4SO2 in a magnetic field
• The Origin of Magnetic Interactions in Ca3Co2O6
• Magnetization Properties of Some Quantum Spin Ladders
• Laser-induced magnetization curve
• Thermodynamic properties of a tetramer ferro-ferro-antiferro-antiferromagnetic Ising-Heisenberg bond alternating chain as a model system for Cu(3-Clpy)${}_2$(N${}_3$)${}_2$
• Quantum magnetization plateaux of an anisotropic ferrimagnetic spin chain
• Critical Behavior of Anisotropic Heisenberg Mixed-Spin Chains in a Field
• Exactly solvable Ising--Heisenberg chain with triangular XXZ-Heisenberg plaquettes
• Delta-Function Bose Gas Picture of S=1 Antiferromagnetic Quantum Spin Chains Near Critical Fields
• Quantum vs. Classical Magnetization Plateaus of S=1/2 Frustrated Heisenberg Chains
• Multi-plateau magnetization curves of one-dimensional Heisenberg ferrimagnets
• Magnetization plateaus in the ferromagnetic-ferromagnetic-antiferromagnetic Ising chain
• Magnetic and Critical Properties of Alternating Spin Heisenberg Chain in a Magnetic Field
• Theory of spin density profile in the magnetization plateaus of SrCu_2(BO_3)_2
• Thermodynamics of Spin-1/2 AF-AF-F and F-F-AF Trimerized Quantum Heisenberg Chains
• Density Matrix Renormalization Group Method for the Random Quantum One-Dimensional Systems - Application to the Random Spin-1/2 Antiferromagnetic Heisenberg Chain -
• Ground State Magnetization of Polymerized Spin Chains
• Existence of the magnetization plateau in a class of exactly solvable Ising-Heisenberg chains
• Magnetization plateau and quantum phase transition of the S=1/2 trimerized XXZ spin chain
• Topological nature of magnetization plateaus in periodically modulated quantum spin chains
• Magnetization plateaus in weakly coupled dimer spin system
• A Strong-Coupling Approach to the Magnetization Process of Polymerized Quantum Spin Chains
• Magnetic properties of exactly solvable doubly decorated Ising-Heisenberg planar models
• Density Matrix Renormalization Group Study of the S=1/2 Anisotropic Antiferromagnetic Heisenberg Chains with Quasiperiodic Exchange Modulation
• Lattice distortions in a sawtooth chain with Heisenberg and Ising bonds
• Magnetization plateau in the spin ladder with the four-spin exchange
• Magnetic Properties of J-J-J' Quantum Heisenberg Chains with Spin S=1/2, 1, 3/2 and 2 in a Magnetic Field
• Entanglement, fractional magnetization and long-range interactions
• Geometrical frustration of an extended Hubbard diamond chain in the quasi-atomic limit
• Method for Estimating Spin-Spin Interactions from Magnetization Curves
• Phase diagram of ferrimagnetic ladders with bond-alternation
• Breakdown of the magnetization plateau of the S=1/2 ferromagnetic-ferromagnetic-antiferromagnetic trimerized spin chain with anisotropy
• Magnetization plateaux, Haldane-like gap, string order and hidden symmetry in a spin-1/2 tetrameric Heisenberg antiferromagnetic chain
• Magnetization Plateaux in the Antiferromagnetic Ising Chain with Single-Ion Anisotropy
• Magnetization Plateaus in One Dimensional $\check{S}=1/2$ Heisenberg Model with Dimerization and Quadrumerization
• Alternating-Spin Ladders in a Magnetic Field: New Magnetization Plateaux
• Emergence of Irrationality: Magnetization Plateaux in Modulated Hubbard Chains
• Random bond XXZ chains with modulated couplings
• Magnetization and Lyapunov exponents on a kagome chain with multi-site exchange interaction
• Doping Induced Magnetization Plateaus
• Symmetry-protected topological order in magnetization plateau states of quantum spin chains
• Magnetization Plateaus in a Solvable 3-Leg Spin Ladder
• Observation of thermodynamics originating from a mixed-spin ferromagnetic chain
• Spin structure factors and valence-bond-solid states of the trimerized Heisenberg chains in a magnetic field
• Magnetization Plateaux by Reconstructed Quasi-spinons in a Frustrated Two-Leg Spin Ladder under a Magnetic Field
• Modified strong-coupling treatment of a spin-1/2 Heisenberg trimerized chain developed from the exactly solved Ising-Heisenberg diamond chain
• Ground State Properties of one-dimensional Antiferromagnetic Spin-1 Chain with Single-ion Anisotropy
• Magnetic plateaus in the 1D antiferromagnetic spin-3/2 and spin-2 Ising chains with single-ion anisotropy
• Magnetic field - temperature phase diagram of ferrimagnetic alternating chains: spin-wave theory from a fully polarized vacuum
• Soft modes, Gaps and Magnetization Plateaus in 1D Spin-1/2 Antiferromagnetic Heisenberg Models
• Breakdown of a Magnetization Plateau due to Anisotropy in Heisenberg Mixed-Spin Chains
• Low-energy properties and magnetization plateaus in a 2-leg mixed spin ladder
• Magnetization plateaus and phase diagram in polymerized S=1/2 XXZ chains
• Synthesis and structural characterization of 2Dioxane.2H2O.CuCl2: metal-organic compound with Heisenberg antiferromagnetic S=1/2 chains
• Effects of a space modulation on the behavior of a 1D alternating Heisenberg spin-1/2 model
• Magnetization cusp singularities of frustrated Kondo necklace model
• Quantum Monte Carlo Study on Magnetization Processes
• Magnetic Phase Diagram of Frustrated Spin Ladder
• Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain
• Direct observation of the ground state of a 1/3 quantum magnetization plateau in SrMn${}_3$P${}_4$O${}_{14}$ using neutron diffraction measurements
• The role of density-dependent magnon hopping and magnon-magnon repulsion in ferrimagnetic spin-(1/2, $S$) chains in a magnetic field
• One-dimensional spin-1/2 Heisenberg antiferromagnet in a weak external magnetic field
• Local magnetic properties of periodic nonuniform spin-1/2 XX chains
• Doping-dependent magnetization plateaus of a coupled spin-electron chain: exact results
• Magnetization plateaus in antiferromagnetic-(ferromagnetic)_{n} polymerized S=1/2 XXZ chains
• Bond Operator Mean Field Approach to the Magnetization Plateaux in Quantum Antiferromagnets -- Application to the S=1/2 Coupled Dimerized Zigzag Heisenberg Chains
• RKKY plateau in zero- and one-dimensional triangular Kagome lattice models
• Magnetic Properties for the One-Dimensional Multicomponent Spin-Gap System
• Translational symmetry broken magnetization plateau of the S=1 antiferromagnetic Heisenberg chain with competing anisotropies
• Effects of edges in spin-1/2 bond-alternating Heisenberg chains: Matrix-product variational approach
• Influence of lattice distortions in classical spin systems
• Quantized polarization in a generalized Rice-Mele model at arbitrary filling
• Magnetization jump in one dimensional $J-Q_2$ model with anisotropic exchange
• Magnetization Plateaux in Random Frustrated S=1/2 Heisenberg Chains
• Magnetic properties of an antiferromagnetic spin-1/2 XYZ model in the presence of different magnetic fields: finite-size effects of inhomogeneity property
• A general CFT model for antiferromagnetic spin-1/2 ladders with Mobius boundary conditions
• Quantum Phase Transition of S=1/2 Trimerized XXZ Spin Chain in Magnetic Field
• Geometric frustration and magnetization plateaus in quantum spin and Bose-Hubbard models on tubes
• Effect of monomer-monomer interactions on the phase diagrams of the S=1/2 distorted diamond type quantum spin chain
• Site-centered impurities in quantum spin chains
• Translational-Symmetry-Broken Magnetization Plateaux of the $S=3/2$ Anisotropic Antiferromagnetic Chain
• Type-dependent irreversible stochastic spin models for genetic regulatory networks at the level of promotion-inhibition circuitry
• Zero-temperature study of a tetrameric spin-$1/2$ chain in a transverse magnetic field
• Quantum Entanglement Generation in the Heterometallic Ni${}_4^{\text{2+}}$Gd${}_4^{\text{3+}}$ Complexes
• Generalization of the Affleck-Kennedy-Lieb-Tasaki Model for Quantum Ferromagnetism