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We revisit the non-collinear exchange coupling across the trilayer magneticjunction mediated by the diluted-magnetic-semiconductor thin film. By numericalapproaches, we investigate the spiral angle between the ferromagnetic layersextensively in the parameter space. In contrast to previous study, wediscovered the important role of spin relaxation, which tends to favor spiralexchange over the oscillatory Ruderman-Kittel-Kasuya-Yosida interaction.Finally, we discuss the physics origins of these two types of magneticinteractions.Comment: 3 pages, 3 figures, accepted for publication in Applied Physics  Letter

Spiral exchange coupling in trilayer magnetic junction mediated by diluted-magnetic-semiconductor thin film