The numerical investigation of ferro–ferrimagnetic half-integer mixed spin ternary alloy: Monte-Carlo approach

Abstract

In this work, we have investigated in detail the magnetic properties of ferromagnetic–ferrimagnetic ternary alloy (TA) given in the form as $AB_{p}C_{1-p}$ by means of the Monte-Carlo simulations with Glauber’s kinetics. We assume that this TA consists of two sublattices, one occupied by the A-type atoms of spin-$\frac{1}{2}$ only and the other one randomly occupied by the B-type (spin-$\frac{3}{2}$) or C-type (spin-$\frac{5}{2}$) atoms with probability p. The nearest-neighbor (NN) interactions between A and B or C atoms with probability p and the next NN interactions only among A atoms are considered. By exploiting the thermal analysis of the order-parameters and total susceptibility, we have mapped the phase diagrams of the model on the planes of $\left( {R=|J_{AC}|/J_{AB},kT_{c}/J_{AB}}\right)$, $\left( p, kT_{c}/J_{AB}\right)$, $(p, kT_\mathrm{{comp}}/J_{AB})$, $\left( D/J_{AB},kT_{c}/J_{AB}\right)$ and $\left( D/J_{AB},kT_\mathrm{{comp}}/J_{AB}\right)$, where R and D are the exchange interaction parameter ratio and the crystal field interaction, respectively. These investigations revealed the existence of second-order phase transitions only and up to two compensation temperatures. In addition, the analysis of the hysteresis properties of the TA, single, double or triple hysteresis loops was observed depending on the given system parameters. Our findings present an overall agreement with the literature.