Perovskite structures and its applications have been studied a lot in the past and its application in photocatalyst is new. I am really interested to know the novelty or less explored part of this field.
The representative of Ferroelectric: BiFeO3, which was well studied in the catalysis for many years. If you are interested in the relations of ferroelectrism and catalysis, it would be an interesting subject for further study.
Ferroelectrics have recently found credibility as photocatalytic materials. However, as with most titania-based materials, these are only UV active. Most notably, you can look up some recent publications from Prof. Steve Dunn (QMUL) regarding the subject. One may then approach to investigate lossy ferroelectric materials (KNN or BNT based) which are expected to yield good results in near-visible or visible range.