Reentrant phenomenon in the decorated ising model

Based on the transverse-field Ising model, this paper utilizes the theory of correlated effective fields to explore the ferromagnetic phase transition properties of nanoislands with decorated lattice. The findings suggest that the unique phase transition properties of the system are predominantly determined by the surface atoms, while the transverse field and decorating exchange interaction impact the specific details of the phase transition properties. Additionally, the magnetization of each lattice follows a quantitative relationship, in which the magnetization of the decorated lattice is weaker and that of the central lattice is stronger.