Effect of demagnetization factor dependence on energy of ultra-thin ferromagnetic films with four layers

TL;DR

This study investigates how the demagnetization factor influences the energy and orientation of ultra-thin four-layer ferromagnetic films with simple cubic and body centered cubic structures using the Heisenberg Hamiltonian.

Contribution

It provides a detailed analysis of the orientation dependence on demagnetization factors for four-layer ferromagnetic films in different lattice structures.

Findings

Films can be oriented in specific directions under certain demagnetization factors.

Distinct orientation behaviors observed for sc(001) and bcc(001) structures.

Energy landscapes show flat regions and periodic variations.

Abstract

Simple cubic and body centered cubic ferromagnetic lattices with four layers were studied using Heisenberg Hamiltonian. According to 3-D plots, the films with four layers can be easily oriented in certain directions under the influence of particular demagnetization factor and angles for both sc(001) and bcc(001) ferromagnetic lattice structures. A flat part can be seen in the middle of 3-D plots in addition to periodic variations. When the demagnetization factor is given by =6, sc(001) film with four layers can be easily oriented in 0.6 radians direction for the energy parameter values used in this simulation. Under the influence of demagnetization factor given by =5.2 , thin film of bcc(001) lattice with four layers can be easily oriented along 0.63 radians direction.