Effects of Elastic Coupling between BaTiO3 Ferroelectric Film and a Substrate with Finite Thickness on Piezoelectric Coefficients
Wei Zhanga,b, Hua Zhang a, Jun Ouyang c and Fangren Hua,b
aSchool of Optoelectronic Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
bPeter Grunberg Research Center, Nanjing University of Posts and Telecommunications, Nanjing 210003, China
cKey Laboratory for Liquid-Solid Structure Evolution and Processing of Materials (Ministry of Education), School of Materials Science and Engineering, Shandong University, Jinan 250061, China
Received: November 2, 2014; In final form: April 14, 2017
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The effective piezoelectric coefficients of BaTiO3 ferroelectric films epitaxially grown on different single crystal substrates with finite thickness have been theoretically analyzed. The effective longitudinal converse piezoelectric coefficients d33 of film and "film-substrate" heterostructure all monotonously increased with increase of the film thickness fraction k, and the latter is always larger than the former at the range of 0 < k < 1. Meanwhile, we also found that the effective piezoelectric coefficients d33 were affected by the substrates due to different elastic constants. These results show that the elastic deformation and clamping effect of substrate have significant impacts on the piezoelectric behavior of bilayer heterostructure.

DOI: 10.12693/APhysPolA.131.1426
PACS/topics: barium titanate, ferroelectric heterostructures, constrained films, longitudinal piezoelectric coefficients, elastic deformation