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In this study, a bilayer zigzag graphyne nanoribbon with RKKY interaction is described using a ferrimagnetic mixed-spin (2, 5/2) Ising model. The compensation behaviors and hysteresis characteristics of the system generated by various physical parameters, such as crystal fields of sublattices, interlayer exchange coupling and the intralayer exchange coupling are explored using Monte Carlo simulation. In the research results, we found that among the 30 possible spin configurations that may occur in the ground state of the system, only 21 spin configurations are stable. At the same time, under certain parameters, the system exhibit interesting behaviors such as compensation phenomena and multi-loop hysteresis. This can provide a theoretical reference for multi-state magnetic recording. • Ising model and Monte Carlo method were used to study the bilayer zigzag graphyne nanoribbon. • The effect of RKKY interaction on the magnetic properties of the graphyne was investigated. • The ground-state phase diagram, magnetization, magnetic susceptibility were obtained. • Phase diagrams and hysteresis loop of the system were presented. • Interesting behaviors of compensation temperatures and multi-loop hysteresis were found under certain parameters. [ABSTRACT FROM AUTHOR]

We investigate the ferromagnetic–ferrimagnetic ternary alloy model with the chemical formula A B p C 1 − p with mean-field theory based on Glauber-type stochastic dynamics, namely dynamic mean-field theory, on a honeycomb lattice consisting of spins S i A = 1 / 2 , S j B = 3 / 2 and S j C = 5 / 2. The model includes a selective site disorder, meaning that S i A can randomly have S j C as its nearest neighbor or S j B with probability (1 − p). The mean-field dynamic equations were obtained and numerically solved. To identify the type of dynamic phase transitions (first- or second-order), the thermal behavior of dynamic magnetizations was examined. For specified values of the crystal field parameter, exchange interaction parameter, and concentration ratio, the phase diagrams are calculated in the (d − T) and (T − h) planes. The system's fundamental and mixed-phase areas were identified. The system displayed A , T P , Q P , Z special points and dynamic tricritical points. It was found that the content of the ternary alloy continuously affected the critical temperature in our dynamic system. Reliable agreements are observed when our findings are compared to those in the literature. [Display omitted] • Magnetic properties of a Ferro-Ferrimagnetic Ternary Alloy System are investigated. • We obtained the dynamic phase transitions. • The dynamic phase diagrams are plotted on different planes. • It was observed that dynamic magnetic properties of Ternary Alloy System were strongly dependent on Hamiltonian parameters. [ABSTRACT FROM AUTHOR]