Entangled polarizations in ferroelectrics: A focused review of polar topologies

Wang, Y. J.; Tang, Yun; Zhu, Yin; Ma, Xiang

doi:10.1016/j.actamat.2022.118485

Cited by 15 publications

(5 citation statements)

References 354 publications

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“…However, in recent years complex polarization patterns have been discovered, including flux-closure (Jia et al, 2011;Tang et al, 2015), vortex (Naumov, Bellaiche, and Fu, 2004;Yadav et al, 2016), skyrmion (Nahas et al, 2015;Das et al, 2019;Pereira Gonçalves et al, 2019;Nahas, Prokhorenko et al, 2020), meron (Nahas, Prokhorenko et al, 2020;Wang et al, 2020;Shao et al, 2023), and hopfion (Luk'yanchuk et al, 2020) patterns, among others. Some of this progress has already been reviewed (Gregg, 2012;Seidel, Vasudevan, and Valanoor, 2016;Zheng and Chen, 2017;Das et al, 2018Das et al, , 2020Hlinka and Ondrejkovic, 2019;Ramesh and Schlom, 2019;Nataf et al, 2020;Chen et al, 2021;Tian et al, 2021;Fernandez et al, 2022;Guo et al, 2022;Wang et al, 2023).…”

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confidence: 99%

Topological phases in polar oxide nanostructures

et al. 2023

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The past decade has witnessed dramatic progress related to various aspects of emergent topological polar textures in oxide nanostructures displaying vortices, skyrmions, merons, hopfions, dipolar waves, or labyrinthine domains, among others. For a long time, these nontrivial structures (the electric counterparts of the exotic spin textures) were not expected due to the high energy cost associated with the dipolar anisotropy: the smooth and continuous evolution of the local polarization to produce

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confidence: 99%

Topological phases in polar oxide nanostructures

et al. 2023

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“…5 represents the direction of the in-plane polarization of sliding structures and the length indicates the size of polarization, while the color of the arrows indicates the direction and size of out-of-plane polarization. The slide-induced in-plane polarization is similar to that of divergent and convergent hedgehogs with negative and positive out-of-plane core polarizations, 51 respectively. The blue and red dots represent the AB and BA stacking structures, respectively.…”

Section: Resultsmentioning

confidence: 75%

Sliding ferroelectricity and the moiré effect in Janus bilayer MoSSe

Lin,

Hu,

Meng

et al. 2024

Nanoscale

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“…Curl of in-plane polarization (also called as axial current 88 ) is a concept in fluid mechanics that describes the rotational motion of fluid around a common centerline 89 . In the context of polar structures, it is also used to characterize the clockwise or counterclockwise toroidal ordering 23 , 90 , 91 . The curl of the in-plane polarization map was obtained by slicing the 3D polarization vector field along the [100] direction and then calculating the x -component of the curl for the normalized in-plane polarization fields.…”

Section: Methodsmentioning

confidence: 99%

Revealing the three-dimensional arrangement of polar topology in nanoparticles

Jeong,

Lee,

et al. 2024

Nat Commun

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In the early 2000s, low dimensional ferroelectric systems were predicted to have topologically nontrivial polar structures, such as vortices or skyrmions, depending on mechanical or electrical boundary conditions. A few variants of these structures have been experimentally observed in thin film model systems, where they are engineered by balancing electrostatic charge and elastic distortion energies. However, the measurement and classification of topological textures for general ferroelectric nanostructures have remained elusive, as it requires mapping the local polarization at the atomic scale in three dimensions. Here we unveil topological polar structures in ferroelectric BaTiO3 nanoparticles via atomic electron tomography, which enables us to reconstruct the full three-dimensional arrangement of cation atoms at an individual atom level. Our three-dimensional polarization maps reveal clear topological orderings, along with evidence of size-dependent topological transitions from a single vortex structure to multiple vortices, consistent with theoretical predictions. The discovery of the predicted topological polar ordering in nanoscale ferroelectrics, independent of epitaxial strain, widens the research perspective and offers potential for practical applications utilizing contact-free switchable toroidal moments.

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Entangled polarizations in ferroelectrics: A focused review of polar topologies

Cited by 15 publications

References 354 publications

Topological phases in polar oxide nanostructures

Topological phases in polar oxide nanostructures

Sliding ferroelectricity and the moiré effect in Janus bilayer MoSSe

Revealing the three-dimensional arrangement of polar topology in nanoparticles

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