Magnetic properties, internal energy and specific heat of a three-layer Heisenberg system with six sublattices

Zhu, Chen; Jiang, Wei; Lo, Veng Cheong; Yang, Jun; Wang, Wei

doi:10.1016/j.physb.2009.12.066

Cited by 16 publications

(4 citation statements)

References 31 publications

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“…7,8 Information about the behavior of pure or disordered magnetic systems at the phase transition has been gathered by several experimental and theoretical studies. [9][10][11][12] In the former case, many theoretical problems associated with such systems have been studied extensively by many authors, some analytical approaches, as well as computationally exact approximations (Monte Carlo simulations, as example), have been developed in order to treat such systems. Among these approaches is the mean field theory (MFT).…”

Section: Introductionmentioning

confidence: 99%

Mean field renormalization group: A theoretical approach to the Fe1−qAlq in the bcc lattice

Freitas

Moreno

2012

Journal of Applied Physics

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In this work, the site diluted Heisenberg model is applied to study the magnetic properties of the bcc disordered phase of FeAl alloys by employing mean field renormalization group theory. We suggest a new approach to exchange interaction between nearest neighbors of Fe that depends on de powers of the Al (q) instead of the linear dependence proposed in other papers. Excellent agreement with the experimental data in the Tq plane have been obtained, in particular, in the region with anomalous behavior of the alloy concerned. V

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Section: Introductionmentioning

confidence: 99%

Mean field renormalization group: A theoretical approach to the Fe1−qAlq in the bcc lattice

Freitas

Moreno

2012

Journal of Applied Physics

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“…The results by using the functional for free energy are satisfactory to calculate the first-order line with qualitative and, to a certain extent, quantitative confidence. We can also extend the presented methodology to study the magnetic properties [48,49].…”

Section: Results and Conclusionmentioning

confidence: 99%

Study of the first-order phase transition in the classical and quantum random field Heisenberg model on a simple cubic lattice

Sousa

Arruda

2012

Physica A: Statistical Mechanics and its Applications

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The phase diagram of the Heisenberg ferromagnetic model in the presence of a magnetic random field (we have used bimodal distribution) of spin S = 1/2 (quantum case) and S = ∞ (classical case) on a simple cubic lattice is studied within the framework of the effective-field theory in finite cluster (we have chosen N = 2 spins).Integrating out the part of order parameter (equation of state), we obtained an effective Landau expansion for the free energy written in terms of the order parameter Ψ(m). Using Maxwell construction we have obtained the phase diagram in the T −H plane for all interval of field. The first-order transition temperature is calculated by the discontinuity of the magnetization at T * c (H), on the other hand in the continuous transition the magnetization is null at T = T c (H). At null temperature (T = 0) we have found the coexistence field H c = 3.23J that is independent of spin value. The transition temperature T c (H) for the classical case (S = ∞), in the T − H plane, is larger than the quantum case (S = 1/2).

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“…3, and J z2 = −0.5. The parameters mentioned above are different from those in Ref [9],. in which sublattices have different values of the spins: S 1 = S 3 = S 4 = S 6 = 0.5, and S 2 = S 5 = 1.0 without considering the interlayer anisotropies (D z1 and D z2 = 0).…”

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confidence: 76%

“…1. [9] The lattices of sites are the interpenetrating six sublattices A, B, C, D, E and F that are distributed among these sites. The spin values of six sublattices are S 1 , S 2 , S 3 , S 4 , S 5 and S 6 , respectively.…”

Section: Introductionmentioning

confidence: 99%

Effects of anisotropy on quantum fluctuation of a three-layer system with multisublattice

姜伟¹,

张凡²,

关宏宇³

et al. 2010

Chinese Phys. B

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Magnetic properties, internal energy and specific heat of a three-layer Heisenberg system with six sublattices

Cited by 16 publications

References 31 publications

Mean field renormalization group: A theoretical approach to the Fe1−qAlq in the bcc lattice

Mean field renormalization group: A theoretical approach to the Fe1−qAlq in the bcc lattice

Study of the first-order phase transition in the classical and quantum random field Heisenberg model on a simple cubic lattice

Effects of anisotropy on quantum fluctuation of a three-layer system with multisublattice

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