Phase diagrams and magnetic properties of a double fullerene structure with core/shell

Aouini, Sadok; Mhirech, A.; Alaoui-Ismaili, A.

doi:10.1016/j.cjph.2018.12.028

Cited by 24 publications

(9 citation statements)

References 54 publications

(53 reference statements)

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“…Comparing with two diagrams, one can notice that both D C and D S have a similar effect on T B , namely, T B decreases with |D C | and |D S | increasing, but a little difference between them is that T B shows a small growth after |D S | >1.9 in figure 7(b). The similar behavior has been observed in the quadrangle ferrimagnetic nanoisland with core-shell structure [25], but this is also different from other nano-systems such as graphene bilayer [41] and nanoribbone [44]. The phase diagrams in the (T B , J CS ), (T B , h) and (T B , P S ) planes are plotted in figures 7(c)-(e).…”

Section: The Blocking Temperaturesupporting

confidence: 63%

“…For simplicity, the value of k B is set to be 1. Such similar approach has been adopted in those theoretical simulations [24,25,38,39,51,52].…”

Section: Model and Formalismmentioning

confidence: 99%

“…It is revealed the effects of the exchange coupling, anisotropy and external magnetic field by using Monte Carlo (MC) simulation. Meanwhile, they also discussed the magnetic properties of core/shell double fullerene structure [25].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Magnetic properties of a fullerene-like X₂₀ structure with embedded metal atom

Gao¹,

Lv²,

Wei³

et al. 2021

Phys. Scr.

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Monte Carlo simulation has been used to study magnetic and thermodynamic properties of a ferrimagnetic mixed-spin (1, 3/2) Ising fullerene-like X20 structure with embedded metal atom. Under the influence of the anisotropy and the concentration of surface shell atom, the system tends to show the multiple stable saturation values of magnetization (M = 0.91, 0.85, 0.77, 0.64, 0.50 and 0.023) and the values of intermediate metastable magnetization (M = 0.88, 0.76 and 0.60) at zero temperature. The blocking temperature T B becomes higher by decreasing the anisotropies (∣D C ∣, ∣D S ∣), or increasing the exchange coupling ∣J CS ∣, the magnetic field h and the concentration of surface shell atom P S . Some interesting phenomena have been found such as the double-loop hysteresis behavior for the relatively large values of ∣D S ∣ (≥2.0), originating from the competition between different physical parameters.

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Section: The Blocking Temperaturesupporting

confidence: 63%

“…For simplicity, the value of k B is set to be 1. Such similar approach has been adopted in those theoretical simulations [24,25,38,39,51,52].…”

Section: Model and Formalismmentioning

confidence: 99%

See 1 more Smart Citation

Magnetic properties of a fullerene-like X₂₀ structure with embedded metal atom

Gao¹,

Lv²,

Wei³

et al. 2021

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…The Ising model, which was originated by Lenz in 1920 and was subsequently investigated by his student Ising in 1925 [1], unifies the study of phase transitions in systems as divers as ferromagnet, gas-liquids, binary alloys, and so on [2,3,4,5,6]. In one-dimension (1D), it has exact solution with the prediction of the absence of phase transition at finite temperature [7,8].…”

Section: Introductionmentioning

confidence: 99%

Relevant alternative analytic average magnetization calculation method for the square and the honeycomb Ising lattices

Kaya

2021

Preprint

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In this work, the order parameter or average magnetization expressions are obtained for the square and the honeycomb lattices based on recently obtained magnetization relation,Where, κ is the coupling strength and z is the number of nearest neighbors. σ 0,i denotes the central spin at the i th site while σ l,i , l = 1, 2, . . . , z, are the nearest neighbor spins around the central spin. In our investigation, inevitably we have to make a conjecture about the three site correlation function appearing in the obtained relation of this paper. The conjectured form of the the three spin correlation function is given by the relation, < σ 1 σ 2 σ 3 >= a < σ > +(1 − a) < σ > (1+β −1 ) , here β denotes the critical exponent for the average magnetization and a is positive real number less than one. The relevance of this conjecture is based on fundamental physical reasoning. In addition, it is tested and investigated by comparing the obtained relations of this paper with the previously obtained exact results for the square and honeycomb lattices. It is seen that the agreements of the obtained average magnetization relations with those of the previously obtained exact results are unprecedentedly perfect.

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“…Later, it was investigated by his student Ising in 1925 [1]. The model is very important in the investigation of phase transition since it unifies the study of phase transitions in systems as diverse as gas-liquids, ferromagnets, binary alloys, and so on [2][3][4][5][6]. The model has an exact solution in one-dimension (1D) with the prediction of the absence of phase transition at finite temperature [7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Analytic average magnetization expression for the body centered cubic Ising lattice

Kaya

2022

Preprint

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Recently we have performed large-scale average magnetization studies of the Ising model for the square, honeycomb, triangular, and simple cubic lattice. We want to complement those studies with the structurally more complicated body-centered cubic lattice Ising model in this paper. We have relevantly calculated the order parameter or average magnetization expression for the body-centered cubic Ising lattice based on the recently developed interrelation, given by σ0,i = tanh[K(σ1,i + σ2,i + • • • + σz,i) + H] . We will use the same conjectures for the odd spins correlation functions as in our previous works. The mathematical forms of the odd spin correlation functions will be eventually elucidated by some physical discussions. We have seen that the obtained average magnetization expression with the numerical data for the body-centered cubic lattice Ising model is in good agreement.

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Phase diagrams and magnetic properties of a double fullerene structure with core/shell

Cited by 24 publications

References 54 publications

Magnetic properties of a fullerene-like X₂₀ structure with embedded metal atom

Magnetic properties of a fullerene-like X₂₀ structure with embedded metal atom

Relevant alternative analytic average magnetization calculation method for the square and the honeycomb Ising lattices

Analytic average magnetization expression for the body centered cubic Ising lattice

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Phase diagrams and magnetic properties of a double fullerene structure with core/shell

Cited by 24 publications

References 54 publications

Magnetic properties of a fullerene-like X20 structure with embedded metal atom

Magnetic properties of a fullerene-like X20 structure with embedded metal atom

Relevant alternative analytic average magnetization calculation method for the square and the honeycomb Ising lattices

Analytic average magnetization expression for the body centered cubic Ising lattice

Contact Info

Product

Resources

About

Magnetic properties of a fullerene-like X₂₀ structure with embedded metal atom

Magnetic properties of a fullerene-like X₂₀ structure with embedded metal atom