Superparamagnetism in the decorated square and triangular Blume-Capel Ising systems by mean-field theory

In the molecular mean-field approximation, comparable studies have been done for decorated ferrimagnetic mixed spin square and triangular systems. Based on the Blume-Capel Ising model, it has been evaluated the results of the study. The proposed research paper has tested the square and triangular lattices for the effect of crystal fields and external magnetic fields on ferrimagnetic mixed spin-3/2 and spin-7/2 decorated devices, respectively. It is worth noting that spin-3/2 ions are located as nodal, and in the surroundings of the lattice, there are four or six other spin-7/2 ions. Therefore, one can create superparamagnetic behaviors by altering exchange interactions with various crystal fields or external magnetic fields. New features have been found that the mixed spin square or triangular decorated ferrimagnets make superparamagnetism in the different values of \(K_{B} T/\left| {J_{2} } \right|\) $K_{B}T/\left|J_2\right|$ , with fixed values of D_A/|J₂|= 8, D_B/|J₂|= − 11, and J₁ = − 0.5, J₂ = 1, for mixed spin square and triangular lattices, respectively.