Numerical evaluation of energy barriers in nano-sized magnetic elements with Lagrange multiplier technique

Abstract

In the present paper we apply the method of the Lagrangian multiplier, previously proposed to evaluate energy barriers in small magnetic particles as multispin systems, for different nanosized magnetic elements, such as magnetic grains, dots and nanowires. We show that the method is capable to determine the energy barriers corresponding to highly non-homogeneous magnetization states. Three examples: a micromagnetically discretized Fe cylindrical dot/nanowire, FePt atomistic grain and a nanocomposite grain with different exchange coupling strengths are considered.