English

Hopfions emerge in ferroelectrics

Mesoscale and Nanoscale Physics 2020-06-24 v1

Abstract

Paradigmatic knotted solitons, Hopfions, that are characterized by topological Hopf invariant, are widely investigated in the diverse areas ranging from high energy physics, cosmology and astrophysics to biology, magneto- and hydrodynamics and condensed matter physics. Yet, while holding high promise for applications, they remain elusive and under-explored. Here we demonstrate that Hopfions emerge as a basic configuration of polarization field in confined ferroelectric nanoparticles. Our findings establish that Hopfions govern a wealth of novel functionalities in the electromagnetic response of composite nanomaterials opening route to unprecedented technological applications.

Keywords

Cite

@article{arxiv.1907.03866,
  title  = {Hopfions emerge in ferroelectrics},
  author = {I. Luk'yanchuk and Y. Tikhonov and A. Razumnaya and V. M. Vinokur},
  journal= {arXiv preprint arXiv:1907.03866},
  year   = {2020}
}