Mixed Spin-1/2 and Spin-5/2 Model by Renormalization Group Theory: Recursion Equations and Thermodynamic Study

Antari, A. El; Zahir, H.; Hasnaoui, A.; Hachem, N.; Alrajhi, A.; Madani, M.; Bouziani, M. El

doi:10.1007/s10773-018-3756-9

Cited by 21 publications

(10 citation statements)

References 43 publications

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“…(4) There is absence of first-order transitions in the ordered region at low temperatures. These results agree with those found in the study of a mixed spin-5/2 and spin-3/2 Ising antiferromagnetic system in a core/shell nanowire (Alzate-Cardona et al , 2017) and in the investigation of an infinite mixed spin-5/2 and spin-3/2 Ising model (De La Espriella and Buendía, 2011).…”

Section: Resultssupporting

confidence: 91%

“…This phenomenon exists in mixed-spin systems under certain conditions and has interesting technological applications, especially the thermomagnetic recording materials and magneto-optical devices (Mansuripur, 1995; Prinz, 1998; Kostishyn et al , 2014). As examples, the compensation behavior has been observed in some mixed-spin nanostructures as for nanowires (Ertaş and Kantar, 2015; Alrajhi et al , 2018; Wang et al , 2016; Alzate-Cardona et al , 2017; Benhouria et al , 2017), nanotubes (Wang et al , 2018; Mi et al , 2018) and nanoparticles (Zaim et al , 2016; Dakir et al , 2015).…”

Section: Resultsmentioning

confidence: 99%

“…These results are in good agreement with those found for Ising systems with mixed spins (3/2, 5/2) in Refs. (De La Espriella and Buendía, 2011; Alzate-Cardona et al , 2017) and also for some mixed nanowires (Hachem et al , 2018; Alrajhi et al , 2018) but without compensation points.…”

Section: Resultsmentioning

confidence: 99%

“…More recently, the equilibrium behavior of the nanowires with mixed spins S = 3/2 and S = 5/2 has been the subject of several works by variety of techniques. As examples, the critical and compensation behaviors of an antiferromagnetic Ising system with mixed spins (3/2, 5/2) in a core/shell nanowire have been studied by using MCS based on Metropolis algorithm (Alzate-Cardona et al , 2017). Also, the hysteresis loops and coercive field of a ferrimagnetic Ising core/shell nanowire with mixed spin-3/2 and spin-5/2 have been investigated by the use of MCS (Barrero-Moreno et al , 2018).…”

Section: Introductionmentioning

confidence: 99%

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Magnetic properties and hysteresis behavior of a ferrimagnetic mixed spin-3/2 and spin-5/2 Ising nanowire

Aharrouch¹,

Kihel

Madani

et al. 2020

MMMS

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PurposeThe purpose of this paper is to study the magnetic properties and the hysteresis behavior of a ferrimagnetic cubic Ising nanowire with mixed spins S = 3/2 and S = 5/2 in which the atoms are placed alternately.Design/methodology/approachIn order to investigate the effects of the exchange interactions and crystal field on the magnetic properties and hysteresis behavior of the nanowire, we have used the Monte Carlo simulation. More precisely, we have plotted the thermal variations of the sublattice and total magnetizations for different values of the Hamiltonian parameters, and we have presented the corresponding phase diagrams. In addition, the influence of an external magnetic field is examined by plotting the variations of hysteresis loops with the change of temperature and crystal field.FindingsAll phase transition found in this study are of second-order and the critical temperatures increase linearly with the increase of the exchange interactions. The compensation temperatures appear only for some domains of crystal field D and exchange interaction JB of the sublattice (B). Moreover, when studying the hysteresis behavior, the system can show one or double hysteresis loops.Originality/valueThe authors consider that this research is consistent with the scientific axis of the journal which benefits a great esteem in our country and in the world. In addition, the results are of technological interest.

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Section: Resultssupporting

confidence: 91%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Magnetic properties and hysteresis behavior of a ferrimagnetic mixed spin-3/2 and spin-5/2 Ising nanowire

Aharrouch¹,

Kihel

Madani

et al. 2020

MMMS

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“…We complete the study of the critical behavior in the case Δ = Δ A = Δ B by using the free energy f and its derivative f ' (El Antari et al , 2018; Zouhair et al , 2018). The iterative expression of the free energy given in Eq.…”

Section: Resultsmentioning

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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Renormalization Group Study of the Mixed Spin-1 and Spin-3/2 Blume-Emery-Griffiths Model with Attractive Biquadratic Coupling

et al. 2020

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Mixed Spin-1/2 and Spin-5/2 Model by Renormalization Group Theory: Recursion Equations and Thermodynamic Study

Cited by 21 publications

References 43 publications

Magnetic properties and hysteresis behavior of a ferrimagnetic mixed spin-3/2 and spin-5/2 Ising nanowire

Magnetic properties and hysteresis behavior of a ferrimagnetic mixed spin-3/2 and spin-5/2 Ising nanowire

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

Renormalization Group Study of the Mixed Spin-1 and Spin-3/2 Blume-Emery-Griffiths Model with Attractive Biquadratic Coupling

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