Mathematical Modelling of Magnetic Hysteresis in Exchange-Bias Spin Valves

Abstract

In this work we present a physical-related model of vector hysteresis for magnetic simulation of nanometric structures. The mathematical formulation, based on a generalization of the Preisach and Stoner-Wohlfarth models, is very simple and elegant. The numerical implementation is very easy and the computation time required for the simulations is extremely fast. However the accuracy is not comparable with the codes based on the micromagnetic theory, but it is sufficient for the use as preprocessing of more accurate and more complex methods, in order to speed up the convergence. In this paper the model identification is performed for a nanoscale spin valve using the data generated by a 3D micromagnetic code.

Variable variance Preisach model for multilayers with perpendicular magnetic anisotropy

“…Each individual stage follows the general expression given by the VVPM [Eq. (4)], and we ensure continuity of σ B for −1 < m < 1. σ B is then given by (9) for the up cycle, and A phenomenological approach was used to identify each value of the exponent k, similar to recent works treating the modeling of the hysteresis of magnetic materials [28,31,65,66]. More precisely, they were obtained by fitting the measured [CoFeB(3Å)/Pd(10Å)] 15 multilayer, and application of the model to the remaining samples revealed that they remain unchanged as long as there is a negligible in-plane component of the magnetization.…”

A Novel Hysteresis Model of Magnetic Field Strength Determined by Magnetic Induction Intensity for Fe-3% Si Electrical Steel Applied in Cigarette Making Machines

“…Hysteresis is a quite important magnetic property of Fe-3% Si grain-oriented electrical steel, since its hysteresis loops and magnetization curves reflect the significant characteristics of the material, which is also an important basis for the selection of cigarette machine sensor materials [11,12]. Study on the material hysteresis loop model is helpful to better understand the hysteresis property of the material, which is significant to the design of materials and related components [13]. With the increasingly higher demand of equipment design accuracy in the actual operation, it is necessary to accurately determine the impact caused by hysteresis [14,15].…”

Surface field measurements in vector characterization of Si-Fe magnetic steel samples

“…The experimental tests presented in this paper deal with static magnetization processes, which are useful to identify vector phenomenological models used for the prediction of hysteresis loops and hysteresis losses in bulk materials [10][11][12][13][14].…”