The possibility of two compensation points in a ferrimagnetic mixed spin-1 and spin-3/2 Ising system using Bethe lattice approach

Ekiz, Cesur

doi:10.1016/j.jmmm.2006.03.059

Cited by 39 publications

(8 citation statements)

References 29 publications

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“…On the other hand, for all values of A D z J the sublattice magnetization m B decreases normally by increasing the value of B k T z J to the critical point T c , even though it is coupled to m A . The previous results for sublattice magnetization are similar to those observed in the Mixed Spin-3/2 and Spin-2 Ising Ferrimagnetic System within the Effectivefield Theory [30] and in the mixed-spin-1 and spin-3/2 Ising ferrimagnetic system [31][32][33].…”

Section: Sublattice Magnetizations M a And M Bsupporting

confidence: 78%

Magnetic Properties of a Mixed-Spin-3/2 and Spin-2 Ising Ferrimagnetic System in an Applied Longitudinal Magnetic Field

Abubrig¹

2013

WJCMP

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The magnetic properties of a mixed Ising ferrimagnetic system consisting of spin-3/2 and spin-2 with different single ion anisotropies and under the effect of an applied longitudinal magnetic field are investigated within the mean-field theory based on Bogoliubov inequality for the Gibbs free energy. The ground-state phase diagram is constructed. The thermal behaviours of magnetizations and magnetic susceptibilities are examined in detail. Finally, we find some interesting phenomena in these quantities, due to applied longitudinal magnetic field.

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Section: Sublattice Magnetizations M a And M Bsupporting

confidence: 78%

Magnetic Properties of a Mixed-Spin-3/2 and Spin-2 Ising Ferrimagnetic System in an Applied Longitudinal Magnetic Field

Abubrig¹

2013

WJCMP

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“…Also, our results obtained on the square lattice ( d = 2) are similar to those found in the mixed spin-1 and spin-3/2 ferrimagnetic Ising model using the Monte Carlo simulation (Žukovič and Bobák, 2010), the exact recursion equations on the Bethe lattice (Albayrak, 2003) and the cluster variational method within pair approximation (Tucker, 2001). On the other hand, these results are in disagreement with some references analyzing the same system on a honeycomb lattice by an effective field formalism (Bobák, 1998b), on a two-layer square lattice via the Glauber-type stochastic dynamics (Temizer, 2014) and on the Bethe lattice using an exact formulation (Ekiz, 2006). In these last three works, some characteristic phenomena have been obtained, especially the multicritical points as well as the reentrant and compensation behaviors.…”

Section: Resultscontrasting

confidence: 86%

“…Experimentally, the MnNi(EDTA)-6H 2 O complex is an example of a mixed-spin system (Drillon et al , 1983). On the theoretical side, the systems of mixed spins S = 1 and S = 3/2 have been extensively studied by a variety of techniques such as the mean field approximation (Abubrig et al , 2001), the effective field theory (Bobák, 1998a, 2000), the Monte Carlo simulation (Nakamura and Tucker, 2002; Žukovič and Bobák, 2010; Boughazi et al , 2019), the Glauber-type stochastic dynamics (Temizer, 2014), the renormalization group theory (Madani et al , 2015; El Bouziani et al , 2016), the Green's function (Mert, 2012), the exact recursion equations on the Bethe lattice (Albayrak, 2003; Ekiz, 2006) and the cluster variational method in pair approximation (Tucker, 2001).…”

Section: Introductionmentioning

confidence: 99%

The mixed spin-3/2 and spin-2 Blume-Capel model by renormalization group approach

Kihel

Saadi

Aharrouch

et al. 2021

MMMS

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PurposeThe authors investigate the magnetic properties of a mixed spin-3/2 and spin-2 Blume-Capel model on square and cubic lattices with two different single-ion anisotropies.Design/methodology/approachTo study the critical behavior of a mixed spin-3/2 and spin-2 system, the authors have used a real space renormalization group approximation and specifically the Migdal-Kadanoff technique. The authors give the phase diagrams for two different cases: (1) on the (Δ/|J|, 1/|J|) plane with ΔA = ΔB = Δ, and (2) on the (ΔA/|J|, 1/|J|) and (ΔB/|J|, 1/|J|) planes for selected values of ΔB/|J| and ΔA/|J|, respectively.FindingsThe phase diagrams obtained show that the system exhibits both second- and first-order phase transitions as well as tricritical points for some values of the anisotropies. Moreover, using the variation of the free energy and its derivative at low temperatures, the authors have seen the appearance of first-order transitions at very low temperatures.Originality/valueFew investigations of mixed spin-3/2 and spin-2 systems with crystal field have been realized. For this reason, the authors use the renormalization group approach to complete the work done on these systems. In absence of an exact solution, this contributes to the synthesis of the approximation results on mixed spins models.

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“…Mixed-spin Ising systems are often used as models to study ferrimagnetism. The occurrence of compensation in such systems has been verified in two-dimensional systems with a number of combinations of different spins (e. g. s = 1/2, 1, 3/2, 2, 5/2) [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. Some single-spin systems, such as layered magnets composed of stacked non-equivalent ferromagnetic planes, have also been effectively used to model ferrimagnets.…”

Section: Introductionmentioning

confidence: 99%

Ferrimagnetism and compensation temperature in spin-1/2 Ising trilayers

Diaz

Branco

2018

Physica B: Condensed Matter

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The mean-field and effective-field approximations are applied in the study of magnetic and thermodynamic properties of a spin-1/2 Ising system containing three layers, each of which is composed exclusively of one out of two possible types of atoms, A or B. The A-A and B-B bonds are ferromagnetic while the A-B bonds are antiferromagnetic. The occurrence of a compensation phenomenon is verified and the compensation and critical temperatures are obtained as functions of the Hamiltonian parameters. We present phase diagrams dividing the parameter space in regions where the compensation phenomenon is present or absent and a detailed discussion about the influence of each parameter on the overall behavior of the system is made. * ianlopezdiaz@gmail.com † nsbranco@fisica.ufsc.br 2

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The possibility of two compensation points in a ferrimagnetic mixed spin-1 and spin-3/2 Ising system using Bethe lattice approach

Cited by 39 publications

References 29 publications

Magnetic Properties of a Mixed-Spin-3/2 and Spin-2 Ising Ferrimagnetic System in an Applied Longitudinal Magnetic Field

Magnetic Properties of a Mixed-Spin-3/2 and Spin-2 Ising Ferrimagnetic System in an Applied Longitudinal Magnetic Field

The mixed spin-3/2 and spin-2 Blume-Capel model by renormalization group approach

Ferrimagnetism and compensation temperature in spin-1/2 Ising trilayers

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