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We report the occurrence of both \emph{ab} and \emph{bc} cycloidal orderingof Mn-spins at different temperatures and their possible coexistence at lowtemperatures in the polycrystalline mixed rare-earth compounds,\emph{R}$_{0.5}$Dy$_{0.5}$MnO$_3$ (\emph{R} = Eu and Gd), which exhibitextraordinary magnetoelectric properties. While the polarization ofGd$_{0.5}$Dy$_{0.5}$MnO$_3$ is comparable to TbMnO$_3$, the compoundEu$_{0.5}$Dy$_{0.5}$MnO$_3$ shows high value of polarization. However, both ofthem show giant magnetic tunability and exhibit large magnetocapacitance whosesign changes across the two cycloidal ordering temperatures. Intriguingly, theelectric polarization can be reversed upon ramping up or ramping down themagnetic field, which has not been observed for any of the \emph{R}MnO$_3$system. Most strikingly, these compounds show non-volatile ferroelectric memoryeffect even in the paraelectric and paramagnetic region (T$_C$ $\leq$ T $\leq$80 K). We attribute these remarkable properties to the coexistence of \emph{ab}and \emph{bc} cycloidal ordered phases.

applied physics letters

Possible coexistence of Cycloidal Phases, Magnetic Field Reversal of  Polarization and Memory Effect in Multiferroic  \emph{R}$_{0.5}$Dy$_{0.5}$MnO$_3$ (\emph{R}=Eu and Gd)