Abstract

The mixed spin-2 and spin-5/2 Ising ferrimagnetic system with different anisotropies (DA/z|J|) for the spin-2 and (DB/z|J|) for the spin-5/2 is studied by the use of the mean-field theory based on the Bogoliubov inequality for the free energy. First, the ground state phase diagram of the system at zero temperature is obtained on the (DA/z|J|,DB/z|J|) plane. Topologically, different kinds of phase diagrams are achieved by changing the temperature and the values of the single ion anisotropies DA/z|J| and DB/z|J|. Besides second-order transition lines, first order phase transition lines terminating at tricritical points, are found. The existence and dependence of a compensation temperature on single-ion anisotropies is also investigated.

Highlights

  • In the last two decades, much attention has been paid to the study of the magnetic properties of two-sublattice mixed-spin ferrimagnetic Ising systems, because they are well adapted to consider some types of ferrimagnetism, namely the molecular-based magnetic materials [1,2,3] which have less translational symmetry than their singlespin counterparts since they consist of two interpenetrating sublattices and have increasing interest

  • We studied the effects of two different single-ion anisotropies in the phase diagram and in the compensation temperature of the mixed spin-2 and spin5/2 Ising ferrimagnetic system within the theoretical framework of the mean-field theory and we found some outstanding features in the temperature dependences of total and sublattice magnetizations

  • We have determined the global phase diagrams of the mixed spin-2 and spin-5/2 Ising ferrimagnetic system with different single-ion anisotropies acting on the spin-2 and spin-5/2 by using mean-field approximation

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Summary

Introduction

In the last two decades, much attention has been paid to the study of the magnetic properties of two-sublattice mixed-spin ferrimagnetic Ising systems, because they are well adapted to consider some types of ferrimagnetism, namely the molecular-based magnetic materials [1,2,3] which have less translational symmetry than their singlespin counterparts since they consist of two interpenetrating sublattices and have increasing interest. It should be mentioned that the effects of different sublattice crystal-field interactions on the magnetic properties of the mixed spin-1 and spin-3/2 Ising ferromagnetic system with different single-ion anisotropies have been investigated with the use of an effective field theory [22,23], mean field theory [24], a cluster variational method [25] and Monte Carlo simulation [26]. We studied the effects of two different single-ion anisotropies in the phase diagram and in the compensation temperature of the mixed spin-2 and spin5/2 Ising ferrimagnetic system within the theoretical framework of the mean-field theory and we found some outstanding features in the temperature dependences of total and sublattice magnetizations.

The Model and Calculation
Phase Diagrams
Temperature Phase Diagrams
Magnetization Curves
Compensation Temperature A
Conclusion
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