Interaction of ferroelectric domain walls and shape of equilibrium repolarization nuclei

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Abstract

The growth of a repolarization nucleus in an electric field is hindered by cohesive forces acting near its tips on the adjacent domain walls. They can reach large values when the distance between the domain walls becomes comparable to their thickness. It is shown that the cohesive forces are expressed in terms of the coefficients of the Ginzburg–Landau energy expansion, which includes a gradient contribution. For a uniaxial ferroelectric, an estimate of the maximum value of the internal field associated with the gradient interaction of the domain walls is obtained. Its relation to the internal coercive field Ec0 in the Ginzburg–Landau theory is E* max/Ec0 = 3√3/8 ≈ 0.65.

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About the authors

A. Yu. Belov

National Research Center “Kurchatov Institute”

Author for correspondence.
Email: belov@crys.ras.ru

Shubnikov Institute of Crystallography of the Kurchatov Complex Crystallography and Photonics

Russian Federation, Moscow

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Supplementary files

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2. Fig. 1. Profile of the polarization reversal nucleus in a uniaxial ferroelectric. A concentration of positive or negative polarization charge arises at the boundaries of the gradient zone G.

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3. Fig. 2. Polarization distribution Px(y) in the precursor domain for different thickness values: h/2δ = 1.0, 2.5, and 4.0.

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4. Fig. 3. Dependence of the interaction force of domain walls in the gradient zone on the distance between them (Fm * = 3γ/4δ).

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