Study of Demagnetization Energy in FCC Ferromagnetic Thin Films with Two Spin Layers Using the Fourth-Order Perturbed Heisenberg Model

This research explores the magnetic behaviour of ferromagnetic thin films with a face-centred cubic (FCC) structure using the fourth-order perturbed Heisenberg Hamiltonian. By incorporating all key magnetic energy parameters, including spin exchange interactions, anisotropy constants, applied magnetic fields, stress-induced anisotropy, and demagnetization energy, a comprehensive analysis of the energy landscape in FCC thin films is provided. MATLAB simulations generate 3D and 2D plots, highlighting the influence of higher-order anisotropy terms on magnetic energy distribution, and revealing distinct energy maxima and minima. The results show that the total magnetic energy in the demagnetization model is lower compared to the stress-induced model, suggesting that internal stress plays a significant role in enhancing the system’s energy state. Additionally, the study reveals deviations from the conventional 90-degree separation between magnetic easy and hard axes, indicating the complex interplay of anisotropy and spin interactions. The exchange of fourth-order anisotropy constants between the two spin layers also subtly influences the energy landscape, emphasizing the importance of anisotropy distribution in system stability. These findings contribute valuable insights for optimizing the magnetic properties of ferromagnetic thin films in spintronic applications, data storage, and other advanced magnetic materials. Future research could extend the analysis to multilayered structures and higher perturbation orders to refine the theoretical framework for thin-film magnetism.