Magnetic properties of Cobalt films described by second order perturbed Heisenberg Hamiltonian

TL;DR

This paper uses a second order perturbed Heisenberg Hamiltonian to analyze the magnetic properties of hexagonal Cobalt films, focusing on energy differences relevant for magnetic memory device performance.

Contribution

It introduces a theoretical model that accurately predicts the optimal thickness of cobalt films for magnetic memory applications, aligning with experimental data.

Findings

Calculated the number of nearest neighbors and dipole interaction constants.

Identified the cobalt film thickness with minimal energy difference between magnetic directions.

Results agree with experimental data on cobalt-based magnetic memory devices.

Abstract

Second order perturbed Heisenberg Hamiltonian was employed to investigate the magnetic properties of hexagonal Cobalt films. Initially the number of nearest neighbors and the constants arisen from the partial summation of the dipole interactions of the structure of cobalt were calculated using some special algorithms. Minimization of the energy difference between the easy and hard direction of a memory device is very important. When the energy difference between the easy and hard directions is significantly small, the magnetic moments in a memory device can be quickly rotated between easy and hard directions under the influence of a small magnetic field. The thickness of a cobalt film corresponding to this minimum energy difference calculated using this theoretical model agrees with some experimental data of cobalt based magnetic memory devices.