Dynamic hysteresis and compensation behaviors of the bilayer Blume–Capel model under an oscillating magnetic field

Abstract

Dynamic compensation and hysteresis characteristics of Blume–Capel (BC) model under an oscillating magnetic field have been studied within the dynamic mean field approximation. Spin-1 ferro-antiferromagnetic system Hamiltonian contains bilinear and crystal-field interactions in the presence of a time-dependent oscillating external magnetic field on a bilayer square lattice. Benefiting from the thermal variations of the total magnetization, we find the L-, Q-, R- and S-type compensation behaviors in the system. According to our results, the system does not represent dynamic compensation behavior when it only includes one interaction parameter. We found that the existence of compensation temperatures and hysteresis properties strongly depends on crystal field interactions. It has also been shown that for the paramagnetic phase of the system, single hysteresis behaviors may occur. Finally, the obtained results are compared with some experimental and theoretical results and found in a qualitatively good agreement.