Field dependences of the magnetization and exchange bias in ferro/antiferromagnetic systems. II. Continuum model of a ferromagnetic layer

Abstract

Magnetization field-dependences and the "exchange bias" in ferro/antiferromagnetic systems. I. Model of a bilayer ferromagnetic Low Temperature Physics 35, 476 (2009);

Influence of magnetic anisotropy on hysteresis behavior in the two-spin model of a ferro/antiferromagnet bilayer with exchange bias

“…11. Consider a FM/AFM bilayer consisting of a magnetic hard AFM subsystem, in which all magnetic moments are fixed and do not rotate during field reversal, and a FM subsystem consisting of two magnetic layers.…”

“…In our previous work [11] the transformation of the collinear ↑↑ phase ( 1 2 0 ϕ ϕ = = ) to the canted phase was considered. This transition corresponds to the bifurcation of the solution 1 2 0 ϕ ϕ = = .…”

“…All possible magnetic structures of the two-spin model were found in Ref. 11, however the detailed study of the hysteresis phenomenon was beyond the scope of the previous paper. The properties of the domain walls in bilayer FM/AFM system with imperfect interface and their connection with the exchange bies phenomenon was discussed in Ref.…”

“…In our previous works [11,12] two simple theoretical models of the FM/AFM bilayer with exchange bias: "two-spin model" and the "continuous model" were proposed. In particular, the two-spin model is the simplest possible model which allows nonuniform magnetic states.…”

Effect of the exchange bias on the magnetization hysteresis of a ferromagnetic film in contact with an antiferromagnet

“…(11) in the limit of a thick film with L ) l 1 that the bifurcation field is (14) in which the main shift (in units of H/J) is of the order of unity, and the additional shift associated with the anisotropy is equal $5Á10 À6 (H À /b $ 2Á10 5 and d H À /b ¼ 1) for the above experimental values. Finally, in the case of a thin film,…”