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Magnetic Topological Structures in Multiferroics

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In this article we focus on impact of micromagnetic structures on magnetoelectricity of multiferroics. We discuss physical mechanisms of magnetoelectric coupling considering domain walls and spin cycloids. We review the progress on multiferroic materials focusing on high temperature multiferroic: rare earth iron garnet and bismuth ferrite. We argue that topological structures play a pivotal role in multiferoics and show that electric control of magnetism can be carried out via spin spirals and domain walls. Magnetic domain walls produce ferroelectricity in rare earth iron garnets; transformations of spin cycloids release magnetoelectricity in bismuth ferrite. Ferroic orders couple via magnetic inhomogeneities, which shed new light on fundamental physics and applications.
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