Stability of Polar Vortex Lattice in Ferroelectric Superlattices

Zijian Hong, Anoop R. Damodaran, Fei Xue, Shang Lin Hsu, Jason Britson, Ajay K. Yadav, Christopher T. Nelson, Jian Jun Wang, James F. Scott, Lane W. Martin, Ramamoorthy Ramesh, Long Qing Chen

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141 Scopus citations


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 (US)
Pages (from-to)2246-2252
Number of pages7
JournalNano letters
Issue number4
StatePublished - Apr 12 2017

All Science Journal Classification (ASJC) codes

  • Bioengineering
  • General Chemistry
  • General Materials Science
  • Condensed Matter Physics
  • Mechanical Engineering


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