Phase diagrams of the ferrimagnetic mixed spin-1/2 and spin-5/2 Ising model under a longitudinal magnetic field

Abstract

The ferrimagnetic mixed spin-1/2 and spin-5/2 Ising model with a crystal field interaction in the absence and presence of a longitudinal magnetic field on a three-dimensional cubic lattice is studied within the framework both of the mean-field approximation (MFA) and Monte Carlo simulation (MCS). Using the MFA, we have shown the phase diagram of the model for zero magnetic field in the (anisotropy, temperature) plane in which the system exhibits firstand second-order phase transitions and critical end-points. Also, we have used the standard MCS to confirm the previous results; we have presented the temperature dependence of the sublattice and total magnetizations for different values of anisotropy in order to determine the phase diagram of the model in the absence of a longitudinal magnetic field. In addition, the influence of this last field on the magnetic properties of the model is investigated and discussed.

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

“…Finally, the hysteresis loops disappear for temperatures above the critical temperature as for T/|J AB | = 12 in Figure 12 (d). These results are consistent with those obtained in some experimental (Zhang and Zhang, 2009; Garcia et al , 2010; Manikandan et al , 2015) and theoretical works (Hachem et al , 2018; Alrajhi et al , 2018; Wang et al , 2016; Kantar, 2016; Ertaş, 2016).…”

“…Also, it is clear that the critical temperature increases almost linearly with increasing J A /|J AB | . As a comparison, similar phase diagrams have been observed in some Ising nanowires with mixed spins (1/2, 3/2) (Hachem et al , 2018) and (1/2, 1) (Alrajhi et al , 2018).…”

“…These results are in good agreement with those found for Ising systems with mixed spins (3/2, 5/2) in Refs. (De La Espriella and Buendía, 2011; Alzate-Cardona et al , 2017) and also for some mixed nanowires (Hachem et al , 2018; Alrajhi et al , 2018) but without compensation points.…”

“…For comparison, these same results were obtained in Refs. (Hachem et al , 2018; Alrajhi et al , 2018; Ertaş, 2016; Akıncı, 2016).…”

“…In particular, the research on magnetic nanowires has been receiving considerable attention experimentally; the nanowires Fe 3 O 4 , Co–Cu and CdO can be synthesized by diverse techniques, such as a simple metal displacement deposition method (Yang et al , 2011), an electrodeposition method followed by heat-treating processes (Zhang and Zhang, 2009) and a vapor transport process (Kuo and Huang, 2006). Theoretically, several approaches have been used to investigate the magnetic properties of nanowires, namely, effective field theory with correlations (Kaneyoshi, 2017; Kantar, 2018; Kocakaplan and Ertaş, 2015), mean field approximation (Ertaş and Kantar, 2015; Kantar and Keskin, 2016; Mendes et al , 2018a, b; Masrour et al , 2016), recursion relations on the Bethe lattice (Albayrak, 2016), Monte Carlo simulation (MCS) (Hachem et al , 2018; Alrajhi et al , 2018; Wang et al , 2016; Benhouria et al , 2018; Mendes et al , 2019) and self-consistent ab-initio calculations (Masrour et al , 2014).…”