期刊
NANO LETTERS
卷 17, 期 4, 页码 2246-2252出版社
AMER CHEMICAL SOC
DOI: 10.1021/acs.nanolett.6b04875
关键词
Ferroelectric superlattices; ultrafine polar vortex; geometric length scale; phase-field simulations; topological structures by design
类别
资金
- U.S. Department of Energy, Office of Basic Energy Sciences, Division of Materials Sciences and Engineering [FG02-07ER46417]
- NSF-MRSEC [DMR-1420620]
- NSF-MWN [DMR-1210588]
- Army Research Office [W911NF-14-1-0104]
- National Science Foundation [DMR-1451219]
- Office of Basic Energy Sciences, U.S. Department of Energy [DE-AC02-05CH11231]
- Gordon and Betty Moore Foundation's EPiQS Initiative [GBMF5307]
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1451219] Funding Source: National Science Foundation
A novel mesoscale state comprising of an ordered polar vortex lattice has been demonstrated in ferroelectric superlattices of PbTiO3/SrTiO3. Here, we employ phase-field simulations, analytical theory, and experimental observations to evaluate thermodynamic conditions and geometric length scales that are critical for the formation of such exotic vortex states. We show that the stability of these vortex lattices involves an intimate competition between long-range electrostatic, long-range elastic, and short-range polarization gradient-related interactions leading to both an upper and a lower bound to the length scale at which these states can be observed. We found that the critical length is related to the intrinsic domain wall width, which could serve as a simple intuitive design rule for the discovery of novel ultrafine topological structures in ferroic systems.
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