Quantum transfer-matrix approach to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mn /></mml:math>antiferromagnetic chains at finite temperatures

Kamieniarz, G.; Matysiak, R.; D'Auria, A. Caramico; Esposito, Francesco; Esposito, U.

doi:10.1103/physrevb.56.645

Cited by 20 publications

(14 citation statements)

References 32 publications

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“…The best-fit parameters found for NENP, CsΝiCl3 , and YBANO are the following: J/kB = 48 K, D/kB = 7.8 K, gl = 2.25, g|| = 2.20; J/kB = 27 K, D/kB = 1.35 K, g = 2.23; J/kB = 275 K, D/kB = 60 K, g = 2.33, respectively. The simulations also imply some theoretical consequences as far as the boson and fermion approximations and strong anisotropy calculations are concerned [10].…”

Section: Resultsmentioning

confidence: 99%

“…Extensive large-scale simulations in the interval of parameters appropriate for NENP and other quasi-one-dimensional chains were also performed [10]. The best-fit parameters found for NENP, CsΝiCl3 , and YBANO are the following: J/kB = 48 K, D/kB = 7.8 K, gl = 2.25, g|| = 2.20; J/kB = 27 K, D/kB = 1.35 K, g = 2.23; J/kB = 275 K, D/kB = 60 K, g = 2.33, respectively.…”

Section: Resultsmentioning

confidence: 99%

“…We note that Zm can be calculated numerically without any restrictions on the value of N by the quantum transfer-matrix method [10,11], changing the transfer direction. The thermodynamical functions can be found by the derivatives of 2 or, more efIiciently, from the corresponding mean values (e.g.…”

Section: The Quantum Transfer -Matrix Techniquementioning

confidence: 99%

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Transfer-Matrix Simulations of Linear Magnetic Systems

Matysiak¹,

D'Auria²,

Esposito³

et al. 2000

Acta Phys. Pol. A

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The quantum transfer-matrix method was applied to study the finite--temperature static properties of the spin S = 1 antiferromagnetic Heisenberg chains in a wide range of the single-ion anisotropy and temperatures. The high-resolution quantum transfer-matrix simulation data are obtained for the zero-field susceptibility, specific heat as well as for the field-dependent magnetization. The microscopic parameters of a number of real quasi-one--dimensional compounds are found from fitting procedures, some theoretical approaches are numerically verified and an extension of the technique to a non-uniform bond alternating molecular magnets is ałso put forward.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Transfer-Matrix Simulations of Linear Magnetic Systems

Matysiak¹,

D'Auria²,

Esposito³

et al. 2000

Acta Phys. Pol. A

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“…Analysis of our model (3) is based on the numerical Quantum Transfer Matrix method [20][21][22][23][24] , where the partition function of the quantum chain is mapped onto the partition function of the classical 2d system with multispin interactions and a finite width 2M 25,26 . For different values of M , called the Trotter number, the classical partition functions form a series of approximants Z M , where the leading errors are of the order of 1/M 2 .…”

Section: Model and Dmrg Methods For Canted Single-chain Magnetsmentioning

confidence: 99%

Magnetization-based assessment of correlation energy in canted single-chain magnets

2012

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We demonstrate numerically that for the strongly anisotropic homometallic S = 2 canted singlechain magnet described by the quantum antiferromagnetic Heisenberg model the correlation energy and exchange coupling constant can be directly estimated from the in-field-magnetization profile found along the properly selected crystallographic direction. In the parameter space defined by the spherical angles (φ, θ) determining the axes orientation, four regions are identified with different sequences of the characteristic field-dependent magnetization profiles representing the antiferromagnetic, metamagnetic and weak ferromagnetic type behavior. These sequences provide a criterion for the applicability of the anisotropic quantum Heisenberg model to a given experimental system. Our analysis shows that the correlation energy decreases linearly with field and vanishes for a given value Hcr which defines a special coordinates in the metamagnetic profile relevant for the zero-field correlation energy and magnetic coupling. For the single-chain magnet formed by the strongly anisotropic manganese(III) acetate meso-tetraphenylporphyrin complexes coupled to the phenylphosphinate ligands, the experimental metamagnetic-type magnetization curve in the c direction yields an accurate estimate of the values of correlation energy ∆ ξ /kB = 7.93 K and exchange coupling J/kB = 1.20 K.

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“…The QTM technique has been applied successfully to a number of the linear spin systems [5][6][7]. In order to perform numerical calculations for a macroscopic chain, we have first divided the Hamiltonian (1) into two parts H = HA + HR Then we used the Trotter expansion to obtain the m-th classical approximant Zm of the partition function Ζ of the classical system of 2m x N spins with the effective interactions grouped into eight-spin blocks Secondly, we introduced an effective classical spin σ = 3/2 to replace pairs of S = 1/2 spins distributed along each row r At the same step, we rewrote the local transfer matrix in the basis of σ.…”

Section: Qtm Techniquementioning

confidence: 99%

Susceptibility Behaviour of CuGeO₃: Comparison between Experiment and the Quantum Transfer Matrix Approach

Bieliński

Renard

2000

Acta Phys. Pol. A

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Thermodynamical properties of one-dimensional S = 1/2 Heisenberg model with dimerized nearest-and uniform next-nearest-neighbour interactions are studied by the numerically exact quantum transfer matrix method and the results are applied to CuGeO 3 . Suzuki-Trotter formula is used to obtain a classical system with spin σ = 3/2 and effective interactions between nearest-neigbours only. Magnetic susceptibility curve is calculated and compared with new experimental results performed in a wide temperature range, revealing the presence of frustration in the model proposed for CuGeO 3 .

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Quantum transfer-matrix approach toS=1antiferromagnetic chains at finite temperatures

Cited by 20 publications

References 32 publications

Transfer-Matrix Simulations of Linear Magnetic Systems

Transfer-Matrix Simulations of Linear Magnetic Systems

Magnetization-based assessment of correlation energy in canted single-chain magnets

Susceptibility Behaviour of CuGeO₃: Comparison between Experiment and the Quantum Transfer Matrix Approach

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Quantum transfer-matrix approach toS=1antiferromagnetic chains at finite temperatures

Cited by 20 publications

References 32 publications

Transfer-Matrix Simulations of Linear Magnetic Systems

Transfer-Matrix Simulations of Linear Magnetic Systems

Magnetization-based assessment of correlation energy in canted single-chain magnets

Susceptibility Behaviour of CuGeO3: Comparison between Experiment and the Quantum Transfer Matrix Approach

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Product

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Susceptibility Behaviour of CuGeO₃: Comparison between Experiment and the Quantum Transfer Matrix Approach