Thermodynamics of the small clusters: The Gibbs free-energy derivation for the Honmura–Kaneyoshi method

Balcerzak, T.

doi:10.1016/j.jmmm.2008.05.015

Cited by 5 publications

(3 citation statements)

References 35 publications

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“…Also, the numerical results obtained from the EFT for the mixed spin Ising model have been compared with the numerical results obtained from the Monte Carlo method 24. Even at the present date, the formulation is still applied to a variety of Ising problems 12, 17, 25–28.…”

Section: Discussionmentioning

confidence: 99%

Magnetic properties of a cylindrical Ising nanowire (or nanotube)

Kaneyoshi

2011

Physica Status Solidi (b)

150

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Magnetic properties (phase diagram and magnetization) of a cylindrical Ising nanowire or nanotube are investigated by the use of the effective-field theory with correlations. Particular emphasis is given to the effects of the surface and its dilution on them. Much attention is paid to the thermal variation of the magnetization when the spins at the surface are coupled antiferromagnetically to the ferromagnetic core spins by the negative shell coupling. The effects of dilution at the surface, the surface exchange interaction, and the shell coupling on the magnetization profiles are investigated. We find a number of characteristic phenomena for them.

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Section: Discussionmentioning

confidence: 99%

Magnetic properties of a cylindrical Ising nanowire (or nanotube)

Kaneyoshi

2011

Physica Status Solidi (b)

150

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“…Determination of the phase diagram requires the knowledge of Helmholtz free energy. While the HK theory leads us to equations of state, it does not provide any means to calculate the free energy [30,31]. Once solutions of the equations of state are known, the free energy, F, is calculated by integration of the Gibbs-Helmholtz relation,…”

Section: Calculation Of Free Energymentioning

confidence: 99%

Phase diagram of the frustrated FCC antiferromagnet from effective-field theory

Ehteshami

Ackland

2020

J. Phys.: Condens. Matter

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The phase diagram of a face-centred cubic (FCC) antiferromagnet is calculated from the effective field theory (EFT) of Honmura and Kaneyoshi taking into account not only the effect of interaction with nearest neighbours, J 1, but also the effect of second neighbours, J 2. The phase diagram for the nearest neighbour case away from the triple point, which in our calculations is predicted to be at H = 4 and T = 0, is close to cluster variation method (CVM) and Monte Carlo (MC) results. Similar to MC and CVM predictions, we observe that the increasing second neighbours interaction pushes the triple point towards zero field. Our calculations also show that for α = −J 2/J 1 = 0.3, the triple point merges with the transition point of the L10 phase, one of the ground states, at H = 0 and changes the nature of phase transition from first- to second-order, in full agreement with Monte Carlo predictions. The phase diagram with the effect of second neighbours calculated for several values of α are in good agreement with available MC and CVM predictions.

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“…It should also be mentioned that a self-consistent method of obtaining the Gibbs energy within EFT has been proposed in Ref. [37]. Unfortunately, that approach was developed only for spin S = 1/2 and has not been extended yet for higher spin values.…”

Section: Introductionmentioning

confidence: 99%

Phase diagram of theJ1−J2frustrated anisotropic antiferromagnet with spinS=1on the quadratic lattice

et al. 2018

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In the paper the phase diagram of J_{1}-J_{2} frustrated antiferromagnet with spin S=1 and single-ion anisotropy is studied on the planar quadratic lattice in the cluster approximation. The Bogolyubov inequality is adopted for the Gibbs energy calculation for the case of 2×2 and 4×4 clusters. On this basis, the ranges of existence of the antiferromagnetic, superantiferromagnetic, and paramagnetic phases are investigated for the antiferromagnetic nearest-neighbor (J_{1}<0) and next-nearest-neighbor (J_{2}<0) interactions. In particular, the occurrence of tricritical and triple points is discussed and a comparison between the results for 2×2 and 4×4 clusters is made. The results are also compared with the classical MFA method, adopted here for the model in question, as well as with selected literature results for particular choices of interaction parameters.

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Thermodynamics of the small clusters: The Gibbs free-energy derivation for the Honmura–Kaneyoshi method

Cited by 5 publications

References 35 publications

Magnetic properties of a cylindrical Ising nanowire (or nanotube)

Magnetic properties of a cylindrical Ising nanowire (or nanotube)

Phase diagram of the frustrated FCC antiferromagnet from effective-field theory

Phase diagram of theJ1−J2frustrated anisotropic antiferromagnet with spinS=1on the quadratic lattice

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