A stochastic model for polarization switching in tetragonal ferroelectric ceramics is introduced, which includes sequential 90{deg}- and parallel 180{deg}-switching processes and accounts for the dispersion of characteristic switching times due to a nonuniform spatial distribution of the applied field. It presents merging of the recent multistep stochastic mechanism (MSM) with the earlier nucleation limited switching (NLS) and inhomogeneous field mechanism (IFM) models. The new model provides a much better description of simultaneous polarization and strain responses over a wide time window and a deeper insight into the microscopic switching mechanisms, as is exemplarily shown by comparison with measurements on lead zirconate titanate.
Consecutive stochastic 90{deg} polarization switching events, clearly resolved in recent experiments, are described by a new nucleation and growth multi-step model. It extends the classical Kolmogorov-Avrami-Ishibashi approach and includes possible consecutive 90{deg}- and parallel 180{deg}-switching events. The model predicts the results of simultaneous time-resolved macroscopic measurements of polarization and strain, performed on a tetragonal Pb(Zr,Ti)O3 ceramic in a wide range of electric fields over a time domain of five orders of the magnitude. It allows the determination of the fractions of individual switching processes, their characteristic switching times, activation fields, and respective Avrami indices.
A stochastic model for the field-driven polarization reversal in rhombohedral ferroelectrics is developed, providing a description of their temporal electromechanical response. Application of the model to simultaneous measurements of polarization and strain kinetics in a rhombohedral Pb(Zr,Ti)O3 ceramic over a wide time window allows identification of preferable switching paths, fractions of individual switching processes, and their activation fields. Complementary, the phenomenological Landau-Ginzburg-Devenshire theory is used to analyze the impact of external field and stress on switching barriers showing that residual mechanical stress may promote the fast switching.
A stochastic model of electric field-driven polarization reversal in orthorhombic ferroelectrics is advanced, providing a description of their temporal electromechanical response. The theory accounts for all possible parallel and sequential switching events. Application of the model to the simultaneous measurements of polarization and strain kinetics in a lead-free orthorhombic (K,Na)NbO3-based ferroelectric ceramic over a wide timescale of 7 orders of magnitude allowed identification of preferable polarization switching paths, fractions of individual switching processes, and their activation fields. Particularly, the analysis revealed substantial contributions of coherent non-180{deg} switching events, which do not cause macroscopic strain and thus mimic 180{deg} switching processes.
The hyperfine interaction between the quadrupole moment of atomic nuclei and the electric field gradient (EFG) provides information on the electronic charge distribution close to a given atomic site. In ferroelectric materials, the loss of inversion symmetry of the electronic charge distribution is necessary for the appearance of the electric polarization. We present first-principles density functional theory calculations of ferroelectrics such as BaTiO3, KNbO3, PbTiO3 and other oxides with perovskite structures, by focusing on both EFG tensors and polarization. We analyze the EFG tensor properties such as orientation and correlation between components and their link with electric polarization. This work supports previous studies of ferroelectric materials where a relation between EFG tensors and polarization was observed, which may be exploited to study ferroelectric order when standard techniques to measure polarization are not easily applied.
In this study, we carry out density functional theory calculations to elucidate the polarization switching mechanism in charge-order-induced ferroelectrics. Based on the investigations about (SrVO$_3$)$_1$(LaVO$_3$)$_1$ superlattice, we demonstrate that the charge ordering state couples strongly to lattice modes, and charge-transfer induced polarization switching has to be associated with changes of lattice distortions. Based on the type of lattice mode strongly coupled to charge ordering states, we classify the charge ordering materials in two type, namely polyhedral breathing and off-centering displacement types. We further demonstrate that only in off-centering displacement type charger ordering material, the polarization is switchable under an external field. The implications of this theory to experimental observations are also discussed and we successfully explain the different electrical behaviors in LuFe$_2$O$_4$ and Fe$_3$O$_4$. This study aims to provide guidance for searching and designing charge ordering ferroelectrics with switchable polarization.
Ruben Khachaturyan
,Jan Schultheiss
,Jurij Koruza
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(2019)
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"Stochastic model of dispersive multi-step polarization switching in ferroelectrics due to spatial electric field distribution"
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Yuri Genenko
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