Magnetic properties of the spin-3/2 Blume-Capel model on a hexagonal Ising nanowire

Mean field and Monte Carlo simulations techniques are applied to study the behavior of a mixed Ising spin model in a square lattice where spins 7/2 are located in alternating sites with spins 3/2. There is an antiferromagnetic interaction between nearest neighbors, ferromagnetic interactions between next-nearest neighbors, crystal fields, and a magnetic external field. The role of the different interactions in the magnetic behavior of the system is explored. It is found that depending on the combination of parameters in the Hamiltonian this system presents multiple hysteresis loops, exchange bias, compensation temperatures, and discontinuous magnetizations. The results are compared with previous studies that do not include the ferromagnetic next-nearest neighbor interactions and found that they can have a strong effect in the magnetic behavior of the system.

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“…[ 68 ] This magnetic behavior has also been seen in experimental investigations on the nanowires CoNiP/Cu and FeGa/Py, [ 69 ] the nanoparticle

{FePt/Fe}_{3}

{normalO}_{4}

, [ 70 ] and in theoretical studies. [ 71–74 ]…”

Section: Resultsmentioning

confidence: 99%

“…[68] This magnetic behavior has also been seen in experimental investigations on the nanowires CoNiP/Cu and FeGa/Py, [69] the nanoparticle FePt=Fe 3 O 4 , [70] and in theoretical studies. [71][72][73][74] Figure 2a,b and 3a,b show that, at low temperatures, when a negative D 0…”

Section: Mf and MC Hysteresis Curvesmentioning

confidence: 93%

Mixed Spin‐(3/2,7/2) Ising‐Type Ferrimagnet: Monte Carlo–Mean Field Treatment

Espriella

Karimou

Buendı́a

2021

Physica Status Solidi (b)

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“…Besides, S − 3/2 BC model with bilinear and biquadratic interactions has been investigated [32][33][34]. If we look at different geometries we can see that S − 3/2 model within different geometries have also been worked such as Bethe lattice [35][36][37], multilayer [38,39], cylindrical Ising nanotube [40], hexagonal Ising nanowire [41] and semi infinite geometry [42]. Some generalizations of the S − 3/2 Ising model have already been constructed and solved.…”

Section: Introductionmentioning

confidence: 99%

On the hysteresis behaviors of the higher spin Ising model

Akıncı

2017

Physica A: Statistical Mechanics and its Applications

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Hysteresis characteristics of the general Spin-S (S > 1) Blume-Capel model have been studied within the effective field approximation. Particular emphasis has been paid on the large negative valued crystal field region and it has been demonstrated for this region that, Spin-S Blume-Capel model has 2S windowed hysteresis loop in low temperatures. Some interesting results have been obtained such as nested characteristics of the hysteresis loops of successive spin-S Blume-Capel model. Effect of the rising crystal field and temperature on these hysteresis behaviors have been investigated in detail and physical mechanisms have been given. IntroductionHigher spin Ising model (S > 1) is very important for understanding of the real magnetic materials. Althought S − 1/2 problems are the most widely studied in the literature on the theoretical side, it is a well known fact that S − 1/2 systems are highly idealized systems. For instance none of the known ferromagnetic/antiferromagnetic atom in the periodic table has 1/2. When the atoms brought together in a solid, different spin values emerge due to the overlapping of the atomic orbitals of the constituent atoms. Indeed, there are numerous molecules that have very high spins in the ground state, for instance S − 6 [1], S − 8, S − 10 [2]. Besides, the most of the magnetic materials are represented by higher spin systems. For instance bimetalic Prussian blue analogs. Altought it is very important to investigate higher spin systems, there is a downward trend with the rising spin value in the theoretical literature. This is due to the fact that, rising computational time for simulations and rising mathematical difficulties for approximation schemes for greater spin values.Ising model including the crystal field or the single-ion anisotropy was introduced as a S − 1 Blume -Capel (BC) model [4,5]. Later on, it was generalized to the higher spin problems and solved within the mean field approximation (MFA) [6]. Some variants of the model exist such as spin-S model with biquadrartic exchange interaction and it was solved within the cluster variation method [7,8]. Also, transverse Ising model with higher spin has been solved within the effective field theory (EFT) [9][10][11]. Quenched disorder effects such as site dilution has been also investigated for spin -S BC model with EFT [12,13] and random crystal field problem within the pair approximation [14]. Some other techniques such as Monte Carlo (MC) simulation exist for the higher spin BC model [15]. This short literature was for the general spin-S models. If we look at the specific spin valued BC model, we see downward trend with rising spin values.

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“…Such consideration is actually also for the other high-spin systems. Theoretically, magnetic properties of the magnetic behaviors of the spin-1 nanostructures have been investigated successfully by using various techniques, such as MFT, EFT with correlations, MC simulations in the Ising model [38]. The equilibrium properties of nanostructures for the high spin system, such as 3/2, 5/2, and 2, are also the object of intensive studies.…”

Section: Resultsmentioning

confidence: 99%

“…where K is a "direct" Coulomb and A is an exchange contribution. The sign in front of the exchange contribution is determined precisely by the symmetry property of the spatial part of Function (34), established in Relation (38). Thus, the correction to the energy due to the interaction in the spatial coordinate representation is determined according to (38) by the value of the total spin:…”

Section: Spin Hamiltonian Of Identical Particles System With Arbitrary Spinsmentioning

confidence: 99%

Magnetic Ordering in Systems of Identical Particles with an Arbitrary Spin

Orlenko

2019

Chemosensors

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The Wigner–Eckart theorem is used for considering the collective effects related to ordering spins in systems of identical particles in ferro- and antiferromagnetic electronic systems, as well as magnetic effects that occur in high spin systems. The Hamiltonian, written in the spin representation in the form obtained by Heisenberg, Dirac, and van Vleck used to describe spin ordering in systems of particles with spin ½, is not appropriate for a description of particle systems with a spin different from ½. “High” spin particles in the spin representation need other forms of the Hamiltonian of the exchange interaction in the spin representation. The Hamiltonian for high-spin particles has been developed from the first principles, and the effects of magnetic ordering in systems of identical particles with arbitrary spin are considered in this review. An effect of giant negative magnetoresistance in the Indium antimonide has been interpreted from the exchange contribution of a high spin heavy holes point of view.

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Magnetic properties of the spin-3/2 Blume-Capel model on a hexagonal Ising nanowire

Cited by 22 publications

References 107 publications

Mixed Spin‐(3/2,7/2) Ising‐Type Ferrimagnet: Monte Carlo–Mean Field Treatment

Mixed Spin‐(3/2,7/2) Ising‐Type Ferrimagnet: Monte Carlo–Mean Field Treatment

On the hysteresis behaviors of the higher spin Ising model

Magnetic Ordering in Systems of Identical Particles with an Arbitrary Spin

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