Variation of magnetic energy in oriented ultra-thin ferromagnetic films

The angle dependence of magnetic energy of ultra-thin films with N=1 to 5 layers has been investigated. The effect of stress and the demagnetization factor on the classical Heisenberg Hamiltonian has been taken into account in addition to other magnetic factors. Films of sc(001) and bcc(001) ferromagnetic indicate preferred in plane and perpendicular orientations for N≤3 and N≥4, respectively. Easy and hard directions of all sc(001), bcc(001) and fcc(001) films with five layers are Ɵ = 7.2⁰ and Ɵ = 114⁰ respectively. According to our simulation, ultra-thin films with one or two layers can be easily oriented in Ɵ =279⁰ direction.