Stability of polar vortex lattice in ferroelectric superlattices

Zijian Hong, Anoop Damodaran, Fei Xue, Shang-Lin Hsu, Jason Britson, Ajay Yadav, Christopher Nelson, Jianjun Wang, James Floyd Scott, Lane Martin, Ramamoorthy Ramesh, Long-Qing Chen

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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.
Original languageEnglish
Pages (from-to)2246–2252
JournalNano Letters
Issue number4
Early online date27 Feb 2017
Publication statusPublished - 12 Apr 2017


  • Ferroelectric superlattices
  • Ultrafine polar vortex
  • Geometric length scale
  • Phase-field simulations
  • Topical structures by design


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