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A new class of superparamagnetism was found in relaxor ferroelectric2/3BiFeO$_{3}$-1/3BaTiO$_{3}$. The size of the magnetic particle, estimatedfrom the superparamagnetic magnetization curve, coincides with the size of thepolar nanoregion (PNR), which governs the relaxor ferroelectric property. Thissuggests that the magnetic domain is identical to the PNR. The temperaturevariations in the sizes of the magnetic domains and PNRs estimated by ourneutron diffraction measurements support this picture. Since the same domainprovides both electric and magnetic properties, strong coupling between the twoproperties through the domain size is expected.

Superparamagnetism induced by polar nanoregions in relaxor ferroelectric (1$-$$x$)BiFeO$_{3}$-$x$BaTiO$_{3}$