Abstract
Within the framework of proton model with taking into account the piezoelectric interaction with the shear strain , a dynamic dielectric response of KH2PO4 family ferroelectrics and antiferroelectrics is considered. Piezoelectric resonance frequencies of rectangular thin plates of the crystals cut in the (001) plane (0 Z-cut) are calculated, which are found to be in a good agreement with experiment.
Highlights
In our previous papers [1, 2] we explored the dynamic dielectric response of square thin plates cut from the KH2PO4 family crystals in the planes (001), perpendicular to the axis of spontaneous polarization
Using the modification of the proton ordering model [3] that includes the piezoelectric coupling with the shear strain ε6, within the framework of the Glauber approach [4] and the four-particle cluster approximation, we obtained expressions for the dynamic dielectric permittivity of the crystals, which took into account the dynamics of the shear strain ε6
Within the proton ordering model with taking into account the shear strain ε6 we explored a dynamic response of ferroelectric and antiferroelectric crystals of the KH2PO4 family to an external harmonic electric field E3
Summary
In our previous papers [1, 2] we explored the dynamic dielectric response of square thin plates cut from the KH2PO4 family crystals in the planes (001), perpendicular to the axis of spontaneous polarization. Using the modification of the proton ordering model [3] that includes the piezoelectric coupling with the shear strain ε6, within the framework of the Glauber approach [4] and the four-particle cluster approximation, we obtained expressions for the dynamic dielectric permittivity of the crystals, which took into account the dynamics of the shear strain ε6. Instead of demanding that the entire edges of the plate were mechanically free, we considered the plate free only at its vertices. It resulted in the underestimated values of the resonant frequencies. The system Hamiltonians, most of the used notations, as well as derivation of the dynamic dielectric permittivities of clamped crystal (the pseudospin subsystem dynamics), can be found in [1, 2]
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