We perform real-time stereoscopic wide-area imaging of a ferroelectric phase-transition in KTN:Li. Spontaneous polarization is observed to form a thermally hysteretic 3D lattice of mutually interlinked closed-flux patterns that spans the entire sample. Results are compatible with a supercrystal of N=4 topological texture defects arising as the three-fold spatial and one-fold time-inversion symmetries are simultaneously broken. Each lattice site of the texture supercrystal emerges as the projection in actual space of an S3 hypersphere, an extended volume Hopf-link fabric able to screen both volume charge and ferroelectric strain.
@article{arxiv.2104.06791,
title = {Evidence of hyperdimensional topological defects in a ferroelectric supercrystal phase-transition},
author = {Feifei Xin and Fabrizio Di Mei and Ludovica Falsi and Davide Pierangeli and Galina Perepelitsa and Yehudit Garcia and Aharon J. Agranat and Eugenio DelRe},
journal= {arXiv preprint arXiv:2104.06791},
year = {2021}
}