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Vortex states in a ferroelectric cylinder

by Svitlana Kondovych, Maksim Pavlenko, Yurii Tikhonov, Anna Razumnaya, Igor Lukyanchuk

Submission summary

As Contributors: Svitlana Kondovych
Arxiv Link: (pdf)
Date submitted: 2021-12-21 10:28
Submitted by: Kondovych, Svitlana
Submitted to: SciPost Physics
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Condensed Matter Physics - Computational
Approaches: Theoretical, Computational, Phenomenological


The past decade's discovery of topological excitations in nanoscale ferroelectrics has turned the prevailing view that the polar ground state in these materials is uniform. However, the systematic understanding of the topological polar structures in ferroelectrics is still on track. Here we study stable vortex-like textures of polarization in the nanocylinders of ferroelectric PbTiO$_3$, arising due to the competition of the elastic and electrostatic interactions. Using the phase-field numerical modeling and analytical calculations, we show that the orientation of the vortex core with respect to the cylinder axis is tuned by the geometrical parameters and temperature of the system.

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Submission 2112.10129v1 on 21 December 2021

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Anonymous on 2022-05-18  [id 2492]

pointer to related literature
suggestion for further work

In this paper, the authors report that the orientation of the vortex core in PbTiO3 cylinder could be tuned by the geometrical parameters and temperature using phase-field simulations. This work is systematic and would provide the guidance for designing the polar topological states experimentally in ferroelectric nanostructures. Following are the comments and questions.
1. The authors stated that the basic idea of the polarization vortices formation is sketched in Fig. 1. Under short-circuited boundary conditions, the uniform polarization occurs in the PbTiO3 cylinder, while the vortex states are observed in the PbTiO3 cylinder under open-circuited boundary conditions. However, as reported by Li S. et al. (Appl. Phys. Lett. 111, 052901 (2017)), the symmetry of the electrical boundary conditions played more crucial influences on the formation of flux-closure domains. Thus, additional theoretical results or discussions are suggested to be included in this paper to illuminate the formation and transition of vortex states in ferroelectric cylinders.
2. Figure 7 is suggested to be included in the main text, which would facilitate to understand the transition between a-vortex states and c-vortex states displayed in the phase diagram in Fig. 2.
3. About the title, “in a ferroelectric cylinder” is suggested to be more specific, as in the manuscript, only PbTiO3 cylinder was discussed.