Data availability All data supporting the findings in this study are available at Zenodo 60 ( https://doi.org/10.5281/zenodo.19232161 ) or from the corresponding author.  Source data are provided with this paper. Code availability VASP software for theoretical calculations can be found at https://www.vasp.at . The PtyRAD package is publicly available at GitHub ( https://github.com/chiahao3/ptyrad /). Custom-written codes to carry out analyses are available from the corresponding author upon request. References Fert, A., Reyren, N. & Cros, V. Magnetic skyrmions: advances in physics and potential applications. Nat. Rev. Mater. 2 , 17031 (2017). Article   ADS   CAS   Google Scholar   Junquera, J. et al. Topological phases in polar oxide nanostructures. Rev. Mod. Phys. 95 , 025001 (2023). Article   ADS   CAS   Google Scholar   Naumov, I. I., Bellaiche, L. & Fu, H. Unusual phase transitions in ferroelectric nanodisks and nanorods. Nature 432 , 737–740 (2004).…