Vortex states in a PbTiO${}_3$ ferroelectric cylinder

Abstract

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.

arXiv comment21 pages, 9 figures

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• Ultrathin films of ferroelectric solid solutions under residual depolarizing field
• Domain enhanced interlayer coupling in ferroelectric/paraelectric superlattices
• Hopfions emerge in ferroelectrics
• Unusual polarization patterns in flat epitaxial ferroelectric nanoparticles
• Toroidal ferroelectricity in PbTiO3 nanoparticles
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Cited by in corpus (2)

• Unconventional criticality in $O(D)$-invariant loop-constrained Landau theory
• Bernoulli principle in ferroelectrics