The conditions leading to the simultaneous existence of ferroelectric, ferromagnetic or anti‐ferromagnetic properties are discussed. Special attention is paid to the problem of why there are so few magnetoelectrics. The different mechanisms leading to ferroelectric multiferroics are presented. The linear and quadratic magnetoelectric effect are discussed as well as the modification of the Vogel–Fulcher relation in external fields. The case where there are both polar nanoregions and magnetic nanoregions is discussed and the theory of such bi‐relaxors is presented.
Keywords: simultaneous magnetic order, electric order, linear magnetoelectric effects, quadratic magnetoelectric effects, ferroelectric multiferroics, theory of bi‐relaxors, magnetic relaxors, electric relaxors
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