Exact solution of the magnetic properties for ternary ferrimagnetic mixed-spin Ising nanoislands

Abstract

ABSTRACT The ferrimagnetic mixed-spin ternary nanoisland models with two and three layer structures were set up by the Ising model with spin quantum numbers 1, 3/2 and 1/2. Using the transfer matrix method, we got the magnetization, magnetic susceptibility and ground-state diagram exactly. The results show that the magnetic susceptibility of nanoisland with two-layer structure shows antiferromagnetic behavior, while that of nanoisland with three-layer structure shows antiferromagnetic or ferromagnetic behavior in different parameter areas. The antiferromagnetic behavior shows that the net spin of the ground-state system is zero. The ferromagnetic behavior shows that the magnetic susceptibility diverges at zero temperature, the Curie constant is proportional to the square of the net spin in the ground-state configuration of spins. The magnetization of the three-layer structure in an external magnetic field shows superparamagnetic behavior with many magnetization plateaus. It can be inferred that there should be similar results for finite Ising nanosystems.