Piezoresponse in Ferroelectric Materials under Uniform Electric Field of Electrodes

abstract

The analytical solution for the displacements of an anisotropic piezoelectric material in the uniform electric field is presented for practical use in the global excitation mode of piezoresponse force microscopy. The solution is given in the Wolfram Mathematica interactive program code, allowing the derivation of the expression of the piezoresponse both in cases of the anisotropic and isotropic elastic properties. The piezoresponse's angular dependencies are analyzed using model lithium niobate and barium titanate single crystals as examples. The validity of the isotropic approximation is verified in comparison to the fully anisotropic solution. The approach developed in the paper is important for the quantitative measurements of the piezoelectric response in nanomaterials as well as for the development of novel piezoelectric materials for the sensors/actuators applications.

keywords

FORCE MICROSCOPY; PIEZOELECTRIC COEFFICIENTS; DISPLACEMENTS; POLARIZATION; SUBSTRATE; FILM

subject category

Chemistry, Analytical; Engineering, Electrical & Electronic; Instruments & Instrumentation

authors

Udalov, A; Alikin, D; Kholkin, A

our authors

acknowledgements

This research was funded by the Russian Science Foundation, grant number 19-72-10076.

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