Magnetic Properties of Diluted Mixed Spin-� and Spin-s Ising Ferrimagnets with a Crystal Field

1999 ◽  
Vol 213 (2) ◽  
pp. 459-470 ◽  
Author(s):  
A. Bob�k ◽  
D. Horv�th
Keyword(s):  
Magnetic Properties ◽  
Crystal Field ◽  
Mixed Spin

Magnetic properties of the mixed spin-5/2 and spin-3/2 Blume-Capel Ising system on the two-fold Cayley tree

Open Physics ◽  
2009 ◽  
Vol 7 (3) ◽  
Author(s):  
Rachidi Yessoufou ◽  
Saliou Amoussa ◽  
Felix Hontinfinde
Keyword(s):  
Magnetic Properties ◽  
Phase Transitions ◽  
Crystal Field ◽  
Cayley Tree ◽  
Second Order ◽  
Coordination Numbers ◽  
First Order ◽  
Mixed Spin ◽  
Second Order Transition ◽  
Zero Values

AbstractWe use exact recursion relations to study the magnetic properties of the half-integer mixed spin-5/2 and spin-3/2 Blume-Capel Ising ferromagnetic system on the two-fold Cayley tree that consists of two sublattices A and B. Two positive crystal-field interactions Δ1 and Δ2 are considered for the sublattice with spin-5/2 and spin-3/2 respectively. For different coordination numbers q of the Cayley tree sites, the phase diagrams of the model are presented with a special emphasis on the case q = 3, since other values of q reproduce similar results. First, the T = 0 phase diagram is illustrated in the (D A = Δ1/J,D B = Δ2/J) plane of reduced crystal-field interactions. This diagram shows triple points and coexistence lines between thermodynamically stable phases. Secondly, the thermal variation of the magnetization belonging to each sublattice for some coordination numbers q are investigated as well as the Helmoltz free energy of the system. First-order and second-order phase transitions are found. The second-order phase transitions become sharper and sharper when D A or D B increases. The first-order transitions only exist for some appropriate non-zero values of D A and/or D B. The corresponding transition lines never connect to the second-order transition lines. Thus, the non-existence of tricritical points remains one of the key features of the present model. The magnetic exponent β 0 of the model is estimated and found to be ¼ at small values of D A = D B = D and β 0 = ½ at large values of D. At intermediate values of D, there is a crossover region where the magnetic exponent displays interesting behaviours.

Mixed spin-3/2 and spin-2 nanowire: magnetic properties and hysteresis behaviors

2021 ◽  
Vol 17 (3) ◽  
pp. 615-629
Author(s):  
Karima El Kihel ◽  
Rachid Aharrouch ◽  
Yahya Al Qahoom ◽  
Mohamed Madani ◽  
Nabil Hachem ◽  
...  
Keyword(s):  
Magnetic Properties ◽  
Exchange Interaction ◽  
Crystal Field ◽  
Hysteresis Loops ◽  
Magnetic Nanowires ◽  
Content Type ◽  
Mixed Spins ◽  
Mixed Spin ◽  
Compensation Behavior ◽  
Hamiltonian Parameters

PurposeThe purpose of this article is to investigate the magnetic properties and the hysteresis loops behavior of a ferrimagnetic cubic nanowire with mixed spins SA = 3/2 and SB = 2.Design/methodology/approachWe have used the Monte Carlo simulation to examine the influences of the exchange interaction JB, the crystal field ∆ and the temperature on the magnetic properties and hysteresis loops of the nanowire. More exactly, we have shown the temperature dependence of the sublattice magnetizations (mA and mB) and the total magnetization (M) for several values of the Hamiltonian parameters, as well as the corresponding phase diagrams. Finally, the effect of an external magnetic field is studied by plotting the hysteresis loops of the system for different values of exchange interaction, crystal field and temperature.FindingsThe obtained results show the existence of second-order phase transitions, as well as the compensation behavior. Moreover, according to the values of the Hamiltonian parameters, the system can exhibit one, two or three hysteresis loops.Originality/valueThe magnetic nanowires are of great interest in experimental works, but without theoretical explanations, the experimental results cannot be clarified in depth. For this, we contribute through this theoretical study to understand the nanowires, especially those with mixed spins (2, 3/2).

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

2020 ◽  
Vol 16 (5) ◽  
pp. 1261-1276
Author(s):  
Rachid Aharrouch ◽  
Karima El Kihel ◽  
Mohamed Madani ◽  
Nabil Hachem ◽  
Amer Lafhal ◽  
...  
Keyword(s):  
Magnetic Properties ◽  
Crystal Field ◽  
Design Methodology ◽  
Hysteresis Loops ◽  
Exchange Interactions ◽  
Critical Temperatures ◽  
Content Type ◽  
Hysteresis Behavior ◽  
Mixed Spin ◽  
Hamiltonian Parameters

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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