“…Unlike their ferromagnetic counterpart, ferroelectrics usually exhibit strong anisotropy that favors particular polar axes, and polarization rotation rarely occurs 5 . As a result, vast majority of polar structures naturally emerging in a ferroelectric are topologically trivial, and nontrivial polar topologies such as closure-domain 6 , 7 , vortex 8 , 9 , skyrmion 10 , meron 11 , and vortex-antivortex pair 12 have only recently been observed in reduced dimensions. It is now understood that in nanostructures such as nanodisks 13 , nanorods 14 , nanodots 15 , nanoislands 16 – 20 , and nanoplates 21 , electrostatic force dominates polar crystalline anisotropy, forcing polarization rotation and thus the formation of vortex.…”