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Analytic treatment of the incomplete ferromagnetic domain-wall model for exchange bias

Abstract:

The incomplete ferromagnetic domain-wall model we proposed recently is solved analytically. We derive the dependence of the exchange bias field (HEB) on the different parameters that characterize the magnetic bilayer system. Excellent agreement with the numerical solutions is achieved. Moreover, the model yields a crossover from a tF-1 dependence of HEB for thin ferromagnetic films, to a tF-1.9 dependence for thick films, where tF is the ferromagnetic film thickness. Our results are in agreement with experiment. © 2002 Elsevier Science B.V. All rights reserved.