Effect of stress induced anisotropy and applied magnetic field on second order perturbed energy of thin ferromagnetic films

TL;DR

This study investigates how stress-induced anisotropy and magnetic fields influence the energy orientation of ultra-thin ferromagnetic films using the Heisenberg Hamiltonian with second order perturbation, revealing specific conditions for easy orientation.

Contribution

It introduces a detailed analysis of energy minimization in ferromagnetic films considering both stress and magnetic field effects using second order perturbation theory.

Findings

Energy minima depend on applied magnetic field and stress.

Optimal orientations are achieved at specific field and stress values.

Film can be easily oriented at particular angles under certain conditions.

Abstract

All the simulations were carried out for sc(001) film with three (N=3) layers. The effect of applied magnetic field and stress induced anisotropy on energy of ultra-thin ferromagnetic films has been investigated using Heisenberg Hamiltonian with second order perturbation. The energy becomes minimums at certain values of angles, applied magnetic field and stress, by indicating that film can be easily oriented in theses certain directions by applying particular applied magnetic field or stress. For example, when applied magnetic field perpendicular to film plane is 3.6, the film can be easily oriented along 0.97 and 2.65 radians directions. When in plane applied magnetic field is 3, energy minimums can be detected at 1 and 2.6 radians. When applied stress is 2.7, film can be easily oriented in 2.8 direction.