Luk'yanchuk I, Tikhonov Y, Razumnaya A, Vinokur V M
Laboratory of Condensed Matter Physics, University of Picardie, 80039, Amiens, France.
Faculty of Physics, Southern Federal University, 5 Zorge str., Rostov-on-Don, Russia, 344090.
Nat Commun. 2020 May 15;11(1):2433. doi: 10.1038/s41467-020-16258-w.
Paradigmatic knotted solitons, Hopfions, that are characterized by topological Hopf invariant, attract an intense attention in the diverse areas of physics ranging from high-energy physics, cosmology and astrophysics to biology, magneto- and hydrodynamics and condensed matter physics. Yet, while being of broad interest, 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 are of fundamental importance for the electromagnetic behavior of the nanocomposits and can result in advanced functionalities of these materials.
具有拓扑霍普夫不变量特征的典型纽结孤子——霍普夫离子，在从高能物理、宇宙学和天体物理到生物学、磁流体动力学和凝聚态物理等不同物理领域引起了广泛关注。然而，尽管它们备受关注，但仍然难以捉摸且研究不足。在此，我们证明霍普夫离子作为受限铁电纳米颗粒中极化场的一种基本构型出现。我们的研究结果表明，霍普夫离子对于纳米复合材料的电磁行为至关重要，并可导致这些材料具有先进的功能。
