Third Order Perturbed Heisenberg Hamiltonian of BCC Ferromagnetic Ultra-Thin Films

Abstract

Abstract
For the first time, the solution of third order perturbed classical Heisenberg Hamiltonian equation with all the seven magnetic parameters including stress induced anisotropy and demagnetization factor is presented in this manuscript. Variation of third order perturbed total energy with applied in plane magnetic field, applied out of plane magnetic field, demagnetization factor and spin exchange interaction is described in this manuscript. Several peaks can be observed in each 3-D plot implying that there are many easy and hard directions for magnetization. All the simulations reported in this manuscript are given for a ferromagnetic film with three spin layers (N=3). Although this simulation was performed for some selected values of seven magnetic energy parameters, the simulation can be carried out for any values of magnetic energy parameters.
Keywords: Perturbation, Heisenberg Hamiltonian, Ferromagnetic thin films

Cite this Article
Samarasekara P, Yapa NUS. Third Order Perturbed Heisenberg Hamiltonian of BCC Ferromagnetic Ultra-Thin Films. Research & Reviews: Journal of Physics. 2016; 5(2): 23–30p.