2021
DOI: 10.1126/science.abc4727
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Toroidal polar topology in strained ferroelectric polymer

Abstract: Polar topological texture has become an emerging research field for exotic phenomena and potential applications in reconfigurable electronic devices. We report toroidal topological texture self-organized in a ferroelectric polymer, poly(vinylidene fluoride-ran-trifluoroethylene) [P(VDF-TrFE)], that exhibits concentric topology with anticoupled chiral domains. The interplay among the elastic, electric, and gradient energies results in continuous rotation and toroidal assembly of the polarization perpendicular t… Show more

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Cited by 86 publications
(71 citation statements)
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“…Unlike their ferromagnetic counterpart, ferroelectrics usually exhibit strong anisotropy that favors particular polar axes, and polarization rotation rarely occurs 5 . As a result, vast majority of polar structures naturally emerging in a ferroelectric are topologically trivial, and nontrivial polar topologies such as closure-domain 6 , 7 , vortex 8 , 9 , skyrmion 10 , meron 11 , and vortex-antivortex pair 12 have only recently been observed in reduced dimensions. It is now understood that in nanostructures such as nanodisks 13 , nanorods 14 , nanodots 15 , nanoislands 16 20 , and nanoplates 21 , electrostatic force dominates polar crystalline anisotropy, forcing polarization rotation and thus the formation of vortex.…”
Section: Introductionmentioning
confidence: 99%
“…Unlike their ferromagnetic counterpart, ferroelectrics usually exhibit strong anisotropy that favors particular polar axes, and polarization rotation rarely occurs 5 . As a result, vast majority of polar structures naturally emerging in a ferroelectric are topologically trivial, and nontrivial polar topologies such as closure-domain 6 , 7 , vortex 8 , 9 , skyrmion 10 , meron 11 , and vortex-antivortex pair 12 have only recently been observed in reduced dimensions. It is now understood that in nanostructures such as nanodisks 13 , nanorods 14 , nanodots 15 , nanoislands 16 20 , and nanoplates 21 , electrostatic force dominates polar crystalline anisotropy, forcing polarization rotation and thus the formation of vortex.…”
Section: Introductionmentioning
confidence: 99%
“…[ 49 , 62 , 63 , 64 , 65 , 66 , 67 ] In addition, the interaction of lattice, orbitals, charges, and spins at the heterogeneous interface produces peculiar physical properties, such as “improper ferroelectricity” in short‐period superlattices, ordered vortex arrays in mid‐period superlattices, and flux‐closed domain structures in large‐period superlattices. [ 68 , 69 , 70 , 71 , 72 , 73 ] These phenomena are important for researchers to understand the involved physical phenomena. The influence of this novel properties on the energy storage characteristics of multilayer dielectric needs to be explored.…”
Section: Basic Theory Of Multilayer Structure Dielectricsmentioning
confidence: 99%
“…By Sarah E. Herrick and Judith E. Allen I t is estimated that ~66% of patients who have gastrointestinal surgery will develop adhesions (1). These bands of scar tissue arise in the abdominal cavity and can lead to small bowel obstruction and infertility in women as well as severe chronic abdominal pain.…”
Section: Acknowledgmentsmentioning
confidence: 99%
“…In return, they have observed exotic phenomena and physics. On page 1050 of this issue, Guo et al (1) provide another example of how the exacting control of materials is producing effects one thought impossible to achieve. They created self-assembled topological and toroidal polarization textures-that is, a toroidal polarization arrangement in which the polar toroidal dipole configuration corresponds to the field of a solenoid bent into a torus (see the figure, bottom) in ferroelectric polymers.…”
mentioning
confidence: 99%