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We computationally study the frustrated magnetic configurations of a thinsoft magnetic layer with the boundary condition fixed by underlying hardmagnets. Driven by geometrical constraints and external magnetic field,transitions between frustrated energy minima result in magnetic hystereticbehavior. The presence of soft-magnet introduces strong undulations in theenergy landscape in a length scale set by the magnetic property of the softmagnet. We propose a possible use of the phenomena to locally control themovement of magnetic nanoparticles.

Geometry-induced frustration of magnetization in a planar soft-hard magnetic system