The thermodynamic properties of a spin-1/2 Heisenberg ferromagnetic system using Oguchi's method

Mert, Gülistan

doi:10.1016/j.jmmm.2015.06.062

Cited by 11 publications

(3 citation statements)

References 22 publications

(29 reference statements)

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“…In the second region, a very fast decay of the free energy is observed because the entropy term exceeds the internal energy leading to almost straight lines. Similar results were reported in [35] which dealt with thermodynamic properties of a spin-1/2 Heisenberg ferromagnetic system within the same Oguchi's approximation. Therein, the internal energy U is monitored and exhibited, as the entropy, a constant for T > T c .…”

Section: The Phase Diagramssupporting

confidence: 82%

“…The spin-1/2 anistropic HM was studied with Dzyaloshinsky-Moriya interaction [1]. The effects of the secondnearest-neighbor exchange interactions on the magnetization, internal energy, heat capacity, entropy and free energy were examined [2]. The phase diagrams of the mixed spin-1 and spin-1/2 under the influence of both exchange and single-ion anisotropies were taken into consideration [3].…”

Section: Introductionmentioning

confidence: 99%

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Anisotropic Heisenberg model for the mixed spin-3/2 and spin-1/2 under random crystal field

Takou¹,

Karimou²,

Hontinfinde³

et al. 2021

Condens. Matter Phys.

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Thermodynamic properties of the mixed spin-3/2 and spin-1/2 Heisenberg model are examined within the Oguchi approximation in the presence of a random crystal-field (RCF). The RCF is either introduced with probability p or turned off with probability 1-p randomly. The thermal variations of the global magnetization and free energy of the system are investigated to construct the phase diagrams for the classical, quantum and anisotropic cases. Different results revealed that no qualitative changes exist between them. Quantum effects are found to be present and abundant in the quantum model in the negative D -range. This phenomenon has a strong decreasing effect on the critical temperature which becomes much lower than in the classical case. In the presence of an external field, it was observed that coercivity and remanence decrease in a wide range of the absolute temperature.

show abstract

Section: The Phase Diagramssupporting

confidence: 82%

Section: Introductionmentioning

confidence: 99%

Anisotropic Heisenberg model for the mixed spin-3/2 and spin-1/2 under random crystal field

Takou¹,

Karimou²,

Hontinfinde³

et al. 2021

Condens. Matter Phys.

View full text Add to dashboard Cite

show abstract

“…Blume-Capel model is among these approaches including nearestneighbors (nn) interactions on the Bethe lattice by using recursion equations for the coordination numbers z =1-6 [4]. Thermodynamic properties of ferromagnetic Heisenberg spin-1/2 system were also investigated and second-nn effects were analyzed in the Oguchi's approximation showing Schottky-peaks of the specific heat [5].…”

Section: Introductionmentioning

confidence: 99%

Magnetocaloric properties of a spin-1 anisotropic ferromagnetic Heisenberg system within the pair approximation

Boubekri

Hafidi

2017

J. Phys. Commun.

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The thermodynamics properties of a ferromagnetic Heisenberg model with the exchange anisotropy of a spin-1 system in presence of single-ion anisotropy (D) and external magnetic field (h) are studied here using the pair approximation approach. We treat the model in three-dimensional lattice with coordination number z=6. Other coordination numbers have been also examined. Within this approximation based on Gibbs free energy, we investigate the effect of both single-ion and exchange coupling anisotropies on the thermodynamic quantities such as magnetization, entropy, heat capacity, susceptibility and entropy change as in-process measures. The objective is to describe magnetocaloric effect (MCE) and relative cooling power aiming to optimize them. We find some interesting phenomena in these quantities due to external magnetic field, exchange anisotropy and single-ion anisotropy. For conflicting interactions, re-entrance behavior can occur. Interestingly, high spin size as well as strong exchange or single-ion anisotropy can improve the MCE performances. PA method [8,9]. It is clear from the above matrix elements that the matrix representation of H ij in this base is symmetric. Therefore, we need to determine the eigenvalues by diagonalizing the matrix of H . ij After performing calculations, we find the following eigenvalues: E J D D J J 2.4. Critical temperature The Curie temperature T C can be found by linearization of self-consistent equation (20) when 0 l  and external magnetic field h=0, leading to: z z J J w 1 2 e 2e cosh e 2e 4 cosh 2e cosh , 2 7 D J D J D J D J

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Mixed Spin-2 and Spin-1/2 Anisotropic Heisenberg Model in the Oguchi Approximation

Albayrak

2017

J Supercond Nov Magn

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The thermodynamic properties of a spin-1/2 Heisenberg ferromagnetic system using Oguchi's method

Cited by 11 publications

References 22 publications

Anisotropic Heisenberg model for the mixed spin-3/2 and spin-1/2 under random crystal field

Anisotropic Heisenberg model for the mixed spin-3/2 and spin-1/2 under random crystal field

Magnetocaloric properties of a spin-1 anisotropic ferromagnetic Heisenberg system within the pair approximation

Mixed Spin-2 and Spin-1/2 Anisotropic Heisenberg Model in the Oguchi Approximation

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