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Nanometer-scale ferroelectric dots and tubes have received a great deal of attention owing to their potential applications to nonvolatile memories and multi-functional devices. As for the size effect of 180° stripe domains in ferroelectric thin films, there have been numerous reports on the thickness-dependent domain periodicity. All these studies have revealed that the domain periodicity ( w ) of 180° stripe domains scales with the film thickness ( d ) according to the classical Landau-Lifshitz-Kittel (LLK) scaling law ( w  ∝  d   1/2  )  d own to the thickness of ~2  nm . In the case of PbTiO 3  nanodots, however, we obtained a striking correlation that for the thickness less than a certain critical value,  d   c   (~35  nm ), the domain width even increases with decreasing thickness of the nanodot, which surprisingly indicates a negative value in the LLK scaling-law exponent. On the basis of theoretical considerations of  d   c  , we attributed this anomalous domain periodicity to the finite lateral-size effect of a ferroelectric nanodot with an additional effect possibly coming from the existence of a thin non-ferroelectric surface layer.

Anomalous domain periodicity observed in ferroelectric PbTiO3 nanodots having 180° stripe domains