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The Electric Susceptibility of Bi-Layers Ferroelectrics

*Vincensius Gunawan  -  Department of Physics, Universitas Diponegoro, Indonesia
Ngurah Ayu Ketut Umiati  -  Department of Physics, Universitas Diponegoro, Indonesia
Agus Subagio  -  Department of Physics, Universitas Diponegoro, Indonesia
Received: 14 May 2019; Accepted: 2 Jun 2019; Available online: 15 Jun 2019; Published: 20 Jun 2019.

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Abstract
In order to enhance insight of layered structure, we perform numerical calculation to obtain the dynamic electric susceptibility in bi-layers ferroelectrics. Since susceptibility is a parameter which gives response to the external field, then determination of this parameter is important. A lattice model is employed to slice bilayer structure into several lattices.  Then, Landau-Khalatnikov equation of motion is used in each lattice to construct a matrix equation of equation of motion.  The solution is obtained by applying entire-cell effective medium.  We find that the homogeneity of dynamic polarization is different from homogeneity of the single individual layer due to the existence of interlayer interaction.  As a result, the electric susceptibility is also altered.  It is also noticed that there is a relation between the homogeneity of dynamic polarization and the value of electric susceptibility near resonant frequency.  The higher the homogeneity, the bigger the values of susceptibility will be. 
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Keywords: Electric Susceptibility; Polarization; Bilayer Ferroelectric

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