Magnetic Dipole Interaction and Total Magnetic Energy of Lithium Ferrire Thin Films

TL;DR

This paper calculates the total magnetic energy of lithium ferrite thin films using a modified Heisenberg Hamiltonian, considering dipole and exchange interactions, anisotropies, and external influences to understand magnetic behavior.

Contribution

It introduces a detailed theoretical model for lithium ferrite thin films that includes various magnetic interactions and anisotropies, providing insights into their magnetic energy landscape.

Findings

Identified easy and hard magnetic directions for lithium ferrite films.

Showed how magnetic energy depends on film thickness, interactions, and anisotropies.

Provided theoretical predictions for magnetic behavior under different conditions.

Abstract

The total magnetic energy of Lithium ferrite thin films was determined using the classical Heisenberg Hamiltonian. The short range magnetic dipole interactions between spins within one unit cell and the interactions between spins in two adjacent unit cells have been determined in order to find the total magnetic energy of lithium ferrite films. Only the spin pairs with separation less than cell constant have been taken into account to calculate dipole interaction and spin exchange interaction. Theoretically several easy and hard directions of lithium ferrite film were found for one set of energy parameters included in our modified Heisenberg Hamiltonian. The dependence of total magnetic energy of a lithium ferrite film on number of unit cells, spin exchange interaction, dipole interaction, second order magnetic anisotropy, fourth order magnetic anisotropy, internal applied magnetic field and stress induced magnetic anisotropy has been explained in this manuscript.