Susceptibility behavior of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">CuGeO</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo>:</mml:mo></mml:math>Comparison between experiment and the quantum transfer-matrix approach

Kamieniarz, G.; Bieliński, M.; Renard, J.P.

doi:10.1103/physrevb.60.14521

Cited by 14 publications

(20 citation statements)

References 21 publications

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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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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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“…To consider the macroscopic limit L → ∞, the quantum transfer matrix approach (QTM) is referred here [2][3][4]. Under the Suzuki-Trotter formula the partition function of the quantum chain can be converted into a series of approximants Z M of the equivalent two-dimensional classical system, where M is called the Trotter number.…”

Section: Modelmentioning

confidence: 99%

DMRG Approach to a Molecular-Based Bimetallic Chain Containing Re(IV) and Cu(II) Ions

et al. 2010

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The bimetallic chain complex [Cu(tren)]ReCl 6 is numerically analysed on the basis of the anisotropic quantum Heisenberg model without the mean-field corrections by the density-matrix renormalization group approach. The high accuracy results of our simulations have been fitted to the corresponding experimental susceptibility data above the crossover regime. The set of model parameters comprising the strength of antiferromagnetic couplings, the single-ion anisotropy term and the corresponding g factors have been found: J/k B = 3.5 ± 0.5 K, D/k B = 35 ± 5 K, g Cu = 2.07 ± 0.05 and g Re = 1.73 ± 0.01.

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“…Having no analytical expression for χ(T ) in the case α = 0 and δ = 0, the fitting procedure was based on the numerically exact QTM method applied earlier to CuGeO 3 results [20]. Analyzing only the experimental susceptibility data for three crystallographic directions [16], the following exchange couplings: J 1 = −30 ± 5 K, α = −0.50 ± 0.05 and the following g factors: g a = 2.00, g b = 2.19, g c = 2.30 were obtained.…”

Section: Phenomenological Modelingmentioning

confidence: 99%

Magnet with Ferromagnetic Nearest-Neighbor and Antiferromagnetic Next-Nearest-Neighbor Exchange Interactions

Szymczak

Kamieniarz

et al. 2009

Acta Phys. Pol. A

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Magnetic properties of Pb[Cu(SO4)(OH)2] (linarite) natural single crystals were studied by magnetization and specific heat measurements. The angular dependences of magnetization were revealed which correlated with the regularities of the crystal structure. At about 2.8 K this quasi-one-dimensional Heisenberg system undergoes a phase transition to the long-range antiferromagnetic order with antiparallel magnetic moments aligned probably along the b-axis. The antiferromagnetic order is evidenced by the metamagnetic transition and pronounced λ-type anomaly at TN in the specific heat. Using phenomenological modeling based on a quantum transfer-matrix method, we argue that at higher temperatures linarite is a quasi-one-dimensional system with competing ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor exchange interactions.

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Susceptibility behavior ofCuGeO3:Comparison between experiment and the quantum transfer-matrix approach

Cited by 14 publications

References 21 publications

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

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

DMRG Approach to a Molecular-Based Bimetallic Chain Containing Re(IV) and Cu(II) Ions

Magnet with Ferromagnetic Nearest-Neighbor and Antiferromagnetic Next-Nearest-Neighbor Exchange Interactions

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