Magnetic anisotropy dependence of the energy of oriented thick ferromagnetic films

TL;DR

This study uses the Heisenberg Hamiltonian to analyze how second and fourth order anisotropies influence the magnetic energy and orientation directions of thick ferromagnetic films with different lattice structures.

Contribution

It provides a comparative analysis of energy minima and orientation angles for sc(001) and bcc(001) thick ferromagnetic films under specific anisotropy conditions.

Findings

Energy minima occur at specific angles for different lattice types.

Energy decreases with increasing anisotropy for both lattice structures.

Certain anisotropy values favor specific film orientations.

Abstract

Heisenberg Hamiltonian was employed to describe the variation of energy of thick ferromagnetic films with second and fourth order anisotropies. At angle of 1.36 degrees and anisotropies of 1.25, energy is minimum for thick film of sc(001) with 1000 layers. Energy becomes minimum at angle of 1.18 degrees and fourth order anisotropy of 1.15 for thick film of bcc(001) with the same thickness. According to these simulations, these lattices can be easily oriented in some certain directions under the influence of some particular values of anisotropies. Energy varies with second and fourth order anisotropies in similar passion for both types of lattices. The energy gradually decreases with second and fourth order anisotropy for both types of lattices in the range described here.