Phase diagrams and magnetic properties of the mixed spin-1 and spin-3/2 Ising ferromagnetic thin film: Monte Carlo treatment

Abstract

Phase diagrams and magnetic properties of the mixed spin-1 and spin-3/2 Ising film with different single-ion anisotropies are investigated, by the use of Monte Carlo simulation based on heat bath algorithms. The effects of the crystal-fields and the surface coupling on the phase diagrams are investigated in detail and the obtained phase diagrams are presented. Depending on the Hamiltonian parameters, the system exhibits both second-and first-order phase transitions besides tricritical point, triple point, and isolated critical end point.

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

“…These models have been effectively used for many years by scientists to analyze interesting magnetic phenomena in magnetically ordered structures that have theoretical interest and practical applications. [1][2][3][4][5][6] The variety of magnetic structures and spins combinations that have been analyzed by these mixed Ising models is quite wide. Some examples are as follows: nanostructures such as nanographene layers alternated with spins 1/2, 3/2, and 5/2 that have compensation points in the presence of an external magnetic field, [7,8] cluster dendrimers (CD) of core/shell (CDCS) with the (3/2-2) spin mixture, and a mixed spin-(2-3/2) Heisenberg single-walled nanotube superlattice, [9,10] Ising nanoribbons, [11] Ising nanocubes, [12] Ising nanowires, [13,14] and nanoislands.…”

Single‐Ion Anisotropy Effect on the Critical and Hysteresis Behaviors of a Mixed‐Spin (1, 3/2) Square Ising Nanowire

“…It should be noted that the effect of the single‐ion anisotropy on the phase diagram is in excellent agreement with the results obtained in ferrimagnetic nanowire with core‐shell morphology [ 31,35 ] and with alternate layers, [ 36 ] where the nanowire is formed by spin‐3/2 and spin‐1. In addition, it is worthwhile to mention that our characteristic results may be qualitatively compared to previous studies on magnetic nanowires, [ 28,37 ] nanotubes, [ 38–40 ] ferromagnetic thin film [ 41 ] and double perovskite . [ 42 ] The results obtained for the critical temperature are in very good agreement with the studies of Salmon et al [ 43 ] and Santos et al, [ 44 ] where the spin‐1 random Blume–Capel model with infinite range interactions was adopted.…”

“…/ J_{\text{C}} = 5$. It is noteworthy that multicycle hysteresis loops, like double and triple loops, have been observed in ferrimagnetic systems with mixed spin (1, 3/2), [ 18,41,44 ] in mixed spin‐(3/2,7/2) Ising‐type ferrimagnetic [ 53 ] and in Ising‐type ternary nanoparticles system with core–multishell structure. [ 54 ]…”

“…We can also observe that the area of this loop becomes smaller when jD C j=J C increases as an example for jD C j=J C ¼ 5. It is noteworthy that multicycle hysteresis loops, like double and triple loops, have been observed in ferrimagnetic systems with mixed spin (1, 3/2), [18,41,44] in mixed spin-(3/2,7/2) Ising-type ferrimagnetic [53] and in Ising-type ternary nanoparticles system with core-multishell structure. [54] The influence of D S =J C on the hysteresis loops of the system is shown in Figure 9 for D C =J C ¼ 0, J in =J C ¼ À1, J S =J C ¼ 0.5, and T=J C ¼ 0.5.…”

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

“…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).…”