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Short-range polar orders in the relaxor ferroelectric materialPbMg$_{1/3}$Nb$_{2/3}$O$_3$-$28\%$PbTiO$_3$ (PMN-28PT) have been studied usingneutron diffuse scattering. An external electric field along [110] directioncan affect the diffuse scattering in the low temperaturerhombohedral/monoclinic phase. Diffuse scattering intensities associated with[110] short-range polarizations are partially suppressed, while those arisingfrom [1$\bar{1}$0] polarizations are enhanced. On the other hand, short-rangepolar orders along other equivalent $\langle110\rangle$ directions, i.e.[101],[10$\bar{1}$], [011], and [01$\bar{1}$] directions, are virtuallyunaffected by the field. Our results, combined with previous work, stronglysuggest that most part of short-range polar orders in PMN-$x$PT relaxor systemsare robust in the low temperature phase, where they couple strongly toferroelectric polarizations of the surrounding ferroelectric domains, and wouldonly respond to an external field indirectly through ferroelectric domainrotation.

Electric field effect on short-range polar orders in a relaxor ferroelectric system