Finite-chain approach to the study of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">CsNiCl</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Campana, L. S.; D'Auria, A. Caramico; Esposito, Francesco; Esposito, U.; Kamieniarz, G.

doi:10.1103/physrevb.45.5035

Cited by 12 publications

(10 citation statements)

References 13 publications

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“…The variation of the molar finite-size specific heat (Campana, Caramico D'Auria, Esposito, Esposito and Kamieniarz, 1996) with respect to 1/N is plotted for temperatures entire temperature range the 1/N dependence shows linear behaviour so that the extrapolated data can be extracted with the accuracy of an order of 0.1% and within this error they agree with the transfer matrix data plotted versus 1/m 2 in the same figure.…”

Section: (35)supporting

confidence: 69%

“…We found the competing predictions (55), (56), (57) together with a new SCHA approach (Cuccoli, Tognetti, Verrucchi and Vaia, 1992) challenging enough to start new large-scale simulations (Campana et al, 1996) by recourse to the finite-size and QTM calculations. As the sets (55), (56), (57) were found from different fitting procedures and no significant experimental results have been reported (to our knowledge) in the meantime, so that we compared the predictions following from these values of the parameters and we determined within the unique technique the optimum set (57) with respect to static properties of CsNiF 3 .…”

Section: Quasi One-dimensional Magnetsmentioning

confidence: 99%

“…We start presentation of our new results (Campana et al, 1996) from the This quantity displays a maximum in low temperatures which is sensitive to the choice of parameters. Our numerical data are given in Fig.…”

Section: Quasi One-dimensional Magnetsmentioning

confidence: 99%

“…The relation (35) refers only to the specific heat, nevertheless we also analyse (Campana et al, 1996) other thermodynamic quantities in terms of the inverse length N -1 . As can be seen from Fig.…”

Section: (35)mentioning

confidence: 99%

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Large-Scale Simulations of Phase Transitions and Low-Dimensional Magnets

Kamieniarz¹

1996

CMST

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Section: (35)supporting

confidence: 69%

Section: Quasi One-dimensional Magnetsmentioning

confidence: 99%

Section: Quasi One-dimensional Magnetsmentioning

confidence: 99%

Section: (35)mentioning

confidence: 99%

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Large-Scale Simulations of Phase Transitions and Low-Dimensional Magnets

Kamieniarz¹

1996

CMST

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“…The spin-wave theory was used by Rezende 38 to study the temperature dependence of excitation spectra, and it has been found that the excitation energy or Haldane gap increases with increasing temperature in the region of low temperature. Campana et al 39 discussed the specific heat and magnetic susceptibility of a finite chain by a numerical calculation method. Bao 40 employed a second-order Green function method to discuss the variations of internal energy and specific heat with temperature for a spin-1 Heisenberg AF chain.…”

mentioning

confidence: 99%

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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Thermodynamic properties of a spin‐1 antiferromagnetic chain with an anisotropy at a finite temperature

Zhu

2003

Physica Status Solidi (b)

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In this paper a self-consistent mean-field approximation is used to study the thermodynamic properties of a spin-1 antiferromagnetic Heisenberg chain with an anisotropy in the presence of an external magnetic field at a finite temperature. The temperature dependences of the internal energy, Haldane gap, and correlation length are presented. It is found that the internal energy and Haldane gap increase with increasing temperature, while the correlation length decreases for a fixed magnetic field and single-ion anisotropy. The magnetic field splits the Haldane gap into two branches: the upper branch increases with increasing magnetic field while the other branch decreases. The numerical results are consistent with those of other theoretical methods.

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Finite-chain approach to the study ofCsNiCl3

Cited by 12 publications

References 13 publications

Large-Scale Simulations of Phase Transitions and Low-Dimensional Magnets

Large-Scale Simulations of Phase Transitions and Low-Dimensional Magnets

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

Thermodynamic properties of a spin‐1 antiferromagnetic chain with an anisotropy at a finite temperature

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