Polar Properties and Hysteresis Loops in Multilayered Thin Films Ferroelectric/Virtual Ferroelectric

In the framework of Landau--Ginzburg--Devonshire (LGD) phenomenological theory, the influence of misfit strains, surface energy, and finite-size effects on phase diagrams, polar properties, and hysteresis loops has been calculated for multilayered thin films of the type ferroelectric/virtual ferroel...

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Bibliographic Details
Published inarXiv.org
Main Authors Eliseev, E A, Glinchuk, M D, Morozovska, A N, Yakovenko, Ya V
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 29.06.2014
Subjects
Coercivity
Dependence
Depolarization
Dielectric strength
Elastic deformation
Ferroelectric materials
Ferroelectricity
Finite element method
Hysteresis loops
Lattice parameters
Mathematical analysis
Multilayered thin films
Phase diagrams
Phases
Polarization
Properties (attributes)
Size effects
Substrates
Surface energy
Thin films
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Summary:In the framework of Landau--Ginzburg--Devonshire (LGD) phenomenological theory, the influence of misfit strains, surface energy, and finite-size effects on phase diagrams, polar properties, and hysteresis loops has been calculated for multilayered thin films of the type ferroelectric/virtual ferroelectric. The influence of elastic deformations that arise at the interface thin film--substrate owing to a mismatch between the lattice constants in the film and the substrate on the phase diagrams of multilayered thin films virtual ferroelectric SrTiO\(_{3}\)/ferroelectric BaTiO\(_{3}\) has been studied for the first time. In contrast to bulk BaTiO\(_{3}\), in which only four phases (cubic, tetragonal, orthorhombic, and rhombohedral) can exist, it turned out that six thermodynamically stable BaTiO\(_{3}\) phases (paraelectric phase and tetragonal (FEc), two monoclinic (FEaac and FEac), and two orthorhombic (FEa and FEaa) ferroelectric phases) can exist in multilayered SrTiO\(_{3}\)/BaTiO\(_{3}\) films. The main polar properties of hysteresis loops (shape, coercive field, and spontaneous polarization) in thin multilayered SrTiO\(_{3}\)/BaTiO\(_{3}\) films are calculated. It is shown that the system demonstrates a strong dependence of its polar properties on the thickness of SrTiO\(_{3}\) and BaTiO\(_{3}\) layers, as well as on the elastic misfit strains, with SrTiO\(_{3}\) playing the role of dielectric layer: the thicker the layer, the stronger is the depolarization field, which, in its turn, reduces the spontaneous polarization in the BaTiO\(_{3}\) film.
ISSN:2331-8422