Critical behaviors and phase diagrams of the mixed spin-1 and spin-7/2 Blume-Capel (BC) Ising model on the Bethe lattice (BL)

Abstract

Using the recursion equations technique, the influences of the single-ion anisotropies or crystal-fields interactions on the magnetic properties of the mixed spin-1 and spin-7/2 Blume-Capel (BC) Ising ferrimagnetic system are studied on the Bethe lattice (BL). The ground-state phase diagram is constructed, the thermal behaviors of the orderparameters and the free-energy are thoroughly investigated in order to characterize the nature of the phase transitions and to obtain the phase transition temperature. Then, the temperature phase diagrams are obtained in the case of equal crystal-field interactions on the (kT /|J| and D/|J|) planes when q = 3, 4 and 6 and in the case of unequal crystal-fields interactions on the (kT /|J| and D A /|J|) and (kT /|J| and D B /|J|) planes for selected values of D B /|J| and D A /|J| respectively when q = 3. The model shows first-order and second-order phase transitions, and where the lines are connected is the tricritical point. Besides the first-order and second-order phase transitions, the system also exhibits compensation temperatures depending on appropriate values of the crystalfields interactions.

Magnetic properties and phase diagrams of mixed spin-1 and spin-1/2 Ising model on a checkerboard square structure: A Monte Carlo study

“…Even though the Ising model is considered one of the simplest models that deal with interactions, models with different spins magnitude are useful and give a deep understanding of ferromagnetic materials magnetic behavior, which are a key ingredient in many applications in magnetic recording. It has been shown by many scientists that different two-dimensional mixed spin Ising models have a wide variety of unusual physical properties [13,14].…”

Magnetic properties of the ferrimagnetic triangular nanotube with core–shell structure: A Monte Carlo study

“…Among these models, the Ising model used in this work is the simplest, yet it has proven to be very effective in predicting the magnetic properties of ferromagnetic materials. In addition, the Ising model has proved to be able to predict some unusual behavior of several mixed spin structures [37,38].…”

Magnetic behavior of a ferroferrimagnetic ternary alloy ABρC1−ρ with a selective site disorder: Case study of a mixed-spin Ising model on a honeycomb lattice

“…The binary mixed-spin Ising systems are the simplest models allowing a theoretical description of the main characteristics of ferrimagnetism. To date, there are numerous theoretical studies of the binary mixed-spin Ising models defined on a honeycomb lattice [6][7][8][9][10][11][12][13][14][15][16][17], bathroom-tile lattice [18,19], diced lattice [20], square lattice [21][22][23][24][25], Bethe lattice [26,27], etc. As far as spin sizes are concerned, the binary mixed-spin Ising models with a great variety of combinations of the spin magnitudes have been investigated as, for instance, (1/2, 1) [6,7,13,14,20], (1/2, 3/2) [8,21], (1, 3/2) [9,10], (1/2, S > 1/2) [11,18,22], (2, 5/2) [12,15], (3/2, 2) [26], (7/2, 1) [23,27], (7/2, 2) [24] and (7/2, 3) [25].…”

“…To date, there are numerous theoretical studies of the binary mixed-spin Ising models defined on a honeycomb lattice [6][7][8][9][10][11][12][13][14][15][16][17], bathroom-tile lattice [18,19], diced lattice [20], square lattice [21][22][23][24][25], Bethe lattice [26,27], etc. As far as spin sizes are concerned, the binary mixed-spin Ising models with a great variety of combinations of the spin magnitudes have been investigated as, for instance, (1/2, 1) [6,7,13,14,20], (1/2, 3/2) [8,21], (1, 3/2) [9,10], (1/2, S > 1/2) [11,18,22], (2, 5/2) [12,15], (3/2, 2) [26], (7/2, 1) [23,27], (7/2, 2) [24] and (7/2, 3) [25]. Magnetic properties of the binary mixed-spin Ising models on a honeycomb lattice were exploited by various theoretical methods such as exact mapping technique [6,8], Monte Carlo simulations [12,13,…”