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

Hida, Kazuo

doi:10.1143/jpsj.63.2359

Cited by 174 publications

(192 citation statements)

References 16 publications

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“…The 2S + 1 magnetization plateaus (contained the saturated magnetization m = S) can appear when the magnetic field increases from zero to its saturation value h s . Theoretical studies have suggested the realization of quantization of magnetization in various systems, 3,4,5,6,7,8,9,10,11,12,13,14 and it has been observed in experimental studies. 15,16,17,18,19 Recent years, antiferromagnetic (AF) spin-1 systems among the other low-dimensional gapped spin-S systems have drawn attention from both theorists and experimentalists in literature.…”

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confidence: 91%

Magnetic and Thermal Behaviour of One-Dimensional Antiferromagnetic Spin-1 Ising Chain at Low Temperatures

Aydıner¹,

Akyüz²

2005

Chinese Phys. Lett.

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In this study, we have investigated ground state properties of one-dimensional antiferromagnetic spin-1 chain with single-ion anisotropy at very low temperatures using the Transfer Matrix method. Magnetic plateaus, phase diagram, specific heat, susceptibility of the spin chain have been evaluated numerically from the free energy. Results are in good agreement with the experimental data for the spin-1 compounds [Ni2(Medpt)2(µ-ox)(H2O)2](ClO4)22H2O, [Ni2(Medpt)2(µ-ox)(µ-N3)](ClO4)0.5H2O, Ni(C2H8N2)Ni(CN)4 and Ni(C10H8N2)2Ni(CN)4.H2O. However, spin-Peierls transition have not been observed in the temperature dependence of specific heat and magnetic susceptibility. The physics of low-dimensional i.e., one-dimensional (1D) or quasi-one-dimensional (Q1D) spin-S (S≥ 1) chains has attracted a considerable amount of attention after the prediction by Haldane 1 that a 1D Heisenberg antiferromagnet should have an energy gap between the singlet ground state and the first excited triplet states in the case of an integer spin quantum number, while the energy levels are gapless in the case of a half integer spin quantum number. The most fascinating characteristic of these low-dimensional systems is that they show magnetic plateaus i.e., quantization of magnetization at low temperatures near the ground state. This phenomenon has been observed not only in Haldane spin systems but also in other spin gapped systems for instance; spinPeierls and spin ladders systems. A general condition of quantization of the magnetization was derived from the Lieb-Schultz-Mattis theorem 2 for low-dimensional magnetic systems. The fact that, Oshikawa, Yamanaka and Affleck (OYA) 3 discussed this plateau problem and derived a condition p(S − m) = integer, necessary for the appearance of the plateau in the magnetization curve of one-dimensional spin system, where S is the magnitude of spin, m is the magnetization per site and p is the spatial period of the ground state, respectively. The 2S + 1 magnetization plateaus (contained the saturated magnetization m = S) can appear when the magnetic field increases from zero to its saturation value h s . Theoretical studies have suggested the realization of quantization of magnetization in various systems, 3,4,5,6,7,8,9,10,11,12,13,14 and it has been observed in experimental studies. 15,16,17,18,19 Recent years, antiferromagnetic (AF) spin-1 systems among the other low-dimensional gapped spin-S systems have drawn attention from both theorists and experimentalists in literature. So far, many Q1D gapped AF spin-1 systems, which are called Haldane systems, spin-Peierls and ladder compounds, were synthesized and to understand the ground state behaviors of the spin-1 AF Heisenberg chain have been extensively studied. The first Q1D spin-1 Haldane gap compound was Ni(C 2 H 8 N 2 ) 2 NO 2 (ClO 4 ) (abbreviated NENP) which was synthesized by Meyer et al. 20 in 1981, just before the Haldane's prediction appeared. Renard et al. 21 showed that NENP had the energy spectrum predicted by Haldane; the magnetic susceptibility ...

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confidence: 91%

Magnetic and Thermal Behaviour of One-Dimensional Antiferromagnetic Spin-1 Ising Chain at Low Temperatures

Aydıner¹,

Akyüz²

2005

Chinese Phys. Lett.

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“…The situation becomes more interesting in the presence of a magnetic field 8 . Then it is possible for an integer spin chain to be gapless and a half-odd-integer spin chain to show a gap above the ground state for appropriate values of the field [9][10][11][12][13][14][15][16][17][18][19] . This has been demonstrated in several models using a variety of methods such as exact diagonalization of small systems, bosonization and conformal field theory 20,21 , and perturbation theory 22 .…”

Section: Introductionmentioning

confidence: 99%

Magnetization properties of some quantum spin ladders

et al. 1999

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The experimental realization of various spin ladder systems has prompted their detailed theoretical investigations. Here we study the evolution of ground-state magnetization with an external magnetic field for two different antiferromagnetic systems: a three-legged spin-1/2 ladder, and a two-legged spin-1/2 ladder with an additional diagonal interaction. The finite system density-matrix renormalization-group method is employed for numerical studies of the three-chain system, and an effective low-energy Hamiltonian is used in the limit of strong interchain coupling to study the two-and three-chain systems. The threechain system has a magnetization plateau at one-third of the saturation magnetization. The two-chain system has a plateau at zero magnetization due to a gap above the singlet ground state. It also has a plateau at half of the saturation magnetization for a certain range of values of the couplings. We study the regions of transitions between plateaus numerically and analytically, and find that they are described, at first order in a strongcoupling expansion, by an XXZ spin-1/2 chain in a magnetic field; the second-order terms give corrections to the XXZ model. We also study numerically some low-temperature properties of the three-chain system, such as the magnetization, magnetic susceptibility and specific heat.

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“…15 In the present paper I show that interchain couplings can considerably affect the number and positions of the plateaus. To demonstrate that, I consider a simple model describing a system of zigzag chains coupled in a plane; within the effective spinless fermion model valid in the limit of weakly coupled dimers it is shown that this model can exhibit magnetization plateaus at 1 3 , 1 2 , and 2 3 of the saturation. The critical fields are calculated using the lowest-order perturbation theory around the "atomic limit" of the model.…”

Section: Introductionmentioning

confidence: 99%

Magnetization plateaus in weakly coupled dimer spin system

Kolezhuk

1999

Phys. Rev. B

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I study a spin system consisting of strongly coupled dimers which are in turn weakly coupled in a plane by zigzag interactions. The model can be viewed as the strong-coupling limit of a two-dimensional zigzag chain structure typical, e.g., for the $(ac)$-planes of KCuCl_3. It is shown that the magnetization curve in this model has plateaus at 1/3 and 2/3 of the saturation magnetization, and an additional plateau at 1/2 can appear in a certain range of the model parameters; the critical fields are calculated perturbatively. It is argued that for the three-dimensional lattice structure of the KCuCl_3 family the plateaus at 1/4 and 3/4 of the saturation can be favored in a similar way, which might be relevant to the recent experiments on NH_4CuCl_3 by Shiramura et al., J. Phys. Soc. Jpn. {\bf 67}, 1548 (1998).Comment: serious changes in Sect. II,III, final version to appear in PR

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

Cited by 174 publications

References 16 publications

Magnetic and Thermal Behaviour of One-Dimensional Antiferromagnetic Spin-1 Ising Chain at Low Temperatures

Magnetic and Thermal Behaviour of One-Dimensional Antiferromagnetic Spin-1 Ising Chain at Low Temperatures

Magnetization properties of some quantum spin ladders

Magnetization plateaus in weakly coupled dimer spin system

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