Phase diagram of the mixed-spin (1,3/2) Ising ferrimagnetic system with two different anisotropies

Abstract

In this work, we have performed Monte Carlo simulations to study phase transitions in a mixed spin-1 and spin-3/2 Ising ferrimagnetic system on the square and cubic lattices and with two different single-ion anisotropies. These lattices are divided in two interpenetrating sublattices with spins [Formula: see text] (states [Formula: see text] and 0) on the sublattice [Formula: see text] and [Formula: see text] (states [Formula: see text], [Formula: see text]) on the sublattice [Formula: see text]. We have used single-ion anisotropies [Formula: see text] and [Formula: see text] acting on the sites of the sublattice [Formula: see text] and [Formula: see text], respectively. We have determined the phase diagrams of the model in the temperature [Formula: see text] vs. the single-ion anisotropies strength [Formula: see text] and [Formula: see text] plane and shown that the system exhibits both second- and first-order phase transitions. This system also displays compensation points for some values of the anisotropies.

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

“…We remark that as Δ=jJ AB j increases, the critical temperature increases to a constant value ðT C =jJ AB j ¼ 12:2Þ for the great anisotropy values. The results obtained in Figure 7 concerning the critical temperature remind us those already established for Ising ferrimagnet on a square lattice and Bethe lattice with mixed spins (3/2, 1) for the case of Zukovi c and Bob ak, 2010;Albayrak, 2003;da Silva et al, 2020), ferromagnetic nanowire (1/2, 1) using the MCS (Alrajhi et al, 2018) and ferrimagnetic Ising (1/2, 2) system on a honeycomb lattice using the Monte Carlo study (Zahir et al, 2019).…”

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

“…We also remark that as Δ /|J | increases, the critical temperature increases. As a comparison, our phase diagrams look a lot like those plotted by the use of Monte Carlo simulation in the mixed spin-2 and spin-3/2 cubic Ising nanowire (El Kihel et al , 2021) and in the mixed spin-1 and spin-3/2 Ising ferrimagnetic system on square and cubic lattices for equal anisotropic fields (da Silva et al , 2020). Also, our results obtained on the square lattice ( d = 2) are similar to those found in the mixed spin-1 and spin-3/2 ferrimagnetic Ising model using the Monte Carlo simulation (Žukovič and Bobák, 2010), the exact recursion equations on the Bethe lattice (Albayrak, 2003) and the cluster variational method within pair approximation (Tucker, 2001).…”

“…In particular, we notice that the values of the transition temperature in the absence of anisotropies (Δ A = Δ B = 0) are 1/| J |≈2.7471 and 5.3239 for d = 2 and d = 3, respectively. We can compare these values with those obtained in mixed spin-1 and spin-3/2 Ising systems using several methods: the Monte Carlo simulation (2.361 for d = 2 and 4.419 for d = 3) (da Silva et al , 2020), the exact formulation on the Bethe lattice (2.872 for d = 2 and 4.757 for d = 3) (Ekiz, 2006), the renormalization group approach (1.52 for d = 2 and 2.98 for d = 3) (Madani et al , 2015) and the mean field theory (3.651 for d = 2 and 5.477 for d = 3) (Bobák et al , 2001). Our values can also be compared with those found in the mixed spin-3/2 and spin-2 Ising system by the mean field approximation (Abubrig, 2013b) where the value of the transition temperature is K B T C / z|J| = 1.5812.…”

Random-anisotropy mixed-spin Ising on a triangular lattice

“…There are a lot of studies carried out with different combinations of spins, such as exact solutions [8][9][10][11] for the simplest combination spin-1/2 and 1. Moreover, the mixed-spin Ising model has been studied by different approaches such as mean-field approximation [12][13][14][15][16][17], effective-field theory [18][19][20][21], renormalization group [22], numerical Monte Carlo simulations [23][24][25][26][27].…”