Analytical Landau-type model of polarization switching in ferroelectrics

Loh, Kok-Khuan; Ong, Lye‐Hock; Chew, Khian−Hooi

doi:10.1016/j.ceramint.2012.10.084

Cited by 3 publications

(13 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As such explicit functional dependence between ferroelectric properties on factors such as stress, temperature and electric field were not established analytically based on a common theoretical framework. This study develops the explicit functional dependence of ferroelectric properties on stress, electric field and temperature by extending our previous work [24,25] on an analytical form of the Landau theory of phase transitions for second order ferroelectrics by incorporating the effect of hydrostatic stress. The major advantage gained through the analytical approach adopted in this paper is that it enables the changes to the dynamic properties of ferroelectrics caused by the introduction of stress to be explored analytically supported by numerical results.…”

Section: Introductionmentioning

confidence: 94%

“…However, for convenience in analysis this study uses a rescaled form of equation (6) given by [32], 2 . The effect of hydrostatic stress on the behaviour of ferroelectric material is incorporated through the scaled electrostriction factor By the inclusion of hydrostatic stress into our previous work [24,25] we extend the range of ferroelectric behaviour that can be studied using the analytical formulation of the Landau theory of phase transition. Equation ( 11) is solved exactly for the case of complete polarization reversal and the resulting expression for equilibrium polarization p e attained by the ferroelectric material at hydrostatic stress x, temperature t and electric field = e ke M (whereby k > 1) is given by the expression,…”

Section: Theorymentioning

confidence: 99%

“…Following the solution of equation ( 16) exactly [24,25], the switching time for complete polarization reversal is determined as an explicit function of t, e and x as shown below, where C is a constant. Compared to our previous result [24,25] for switching time, equation (17) shows that the application of hydrostatic stress x in addition to temperature t and electric field e produces a complex expression for switching time dependent on factors such as − ( )…”

Section: Switching Time For Complete Polarization Reversalmentioning

confidence: 99%

“…In an earlier work [24,25], analytical arguments and simulations were used to show that high electric field and temperature produce important consequences on the dynamic properties of ferroelectric switching behaviour. In this work we investigate the changes to equilibrium polarization and reciprocal switching time at high electric field when hydrostatic stress is applied during switching of ferroelectric material.…”

Section: Switching Behaviour Caused By Hydrostatic Stressmentioning

confidence: 99%

“…The corresponding expression for the reciprocal switching time at high electric field is derived by inverting equation (24) to produce…”

mentioning

confidence: 99%

See 4 more Smart Citations

Analytic theory of hydrostatic stress effect on switching dynamics in ferroelectrics

Loh¹,

Ong²,

Chew³

2014

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

Polarization switching of ferroelectric materials is influenced by extensive variables such as electric field, temperature and stress. Currently a variety of theoretical approaches are used to gain a deeper understanding of the influence of extensive variables on the dynamic properties of ferroelectrics. In this paper a Landau-type model for second order bulk materials is used to study the extent to which hydrostatic stress affects the switching dynamic behaviours in ferroelectric material. Exact expressions for equilibrium polarization and switching time are derived analytically and then used to examine the dynamic behaviour in regimes of high electric field and hydrostatic stress. The second aspect of this work is to determine the relationship between empirical rules used to describe dynamic behaviour with the exact expressions derived from this model.

show abstract

Section: Introductionmentioning

confidence: 94%

Section: Theorymentioning

confidence: 99%

Section: Switching Time For Complete Polarization Reversalmentioning

confidence: 99%

Section: Switching Behaviour Caused By Hydrostatic Stressmentioning

confidence: 99%

“…The corresponding expression for the reciprocal switching time at high electric field is derived by inverting equation (24) to produce…”

mentioning

confidence: 99%

See 3 more Smart Citations

Analytic theory of hydrostatic stress effect on switching dynamics in ferroelectrics

Loh¹,

Ong²,

Chew³

2014

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

show abstract

Analytical properties of switching current transients in ferroelectrics

Loh¹

2021

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

The increasing application of ferroelectrics in technological applications such as nonvolatile ferroelectric random access memories, capacitors, and energy harvesters highlights the importance of investigating how the characteristics of switching current transients change in response to variation of factors that affect it. This work presents a completely analytical approach based on the Landau-Devonshire (LD) model of phase transitions to quickly study the changes to the properties of switching current transients and back-switching currents in ferroelectric material. The non-linear nature of polarization decay is analyzed based on an exact solution of the Landau-Khalatnikov equation. Exact expressions of the temporal changes in polarization and back-switching current that incorporate the cubic polarization P 3 are derived. Comparison of differences between the exact non-linear model of polarization decay phenomena from the linearized model of polarization decay are discussed. This work shows that the characteristics of the critical switching time phenomenon in partial switching current experiments can be explained by the analytical LD model. Many features of complete and partial switching current transients produced by bipolar electric pulses are successfully modeled analytically by varying factors such as temperature, electric field amplitude, pulse-width and off-time. This work shows that pulse powered switching current behaviour in ferroelectric material can be modeled analytically instead of relying only on numerical approaches to the Landau-Khalatnikov equation.

show abstract

Dynamic Properties of Dielectric Susceptibility in Ferroelectric Thin Films

Cui

et al. 2016

Surf. Rev. Lett.

View full text Add to dashboard Cite

In this paper, frequency, temperature, film thickness, surface effects, and various parameters dependence of dielectric susceptibility is investigated theoretically for ferroelectric thin films by the modified Landau theory under an AC applied field. The dielectric susceptibility versus AC applied field shows butterfly-shaped behavior, and depends strongly on the frequency and amplitude of the field and temperature. Our study shows that the existence of the surface transition layer can depress the dielectric susceptibility of a ferroelectric thin film. These results are well consistent with the phenomena reported in experiments.

show abstract

Analytical Landau-type model of polarization switching in ferroelectrics

Cited by 3 publications

References 14 publications

Analytic theory of hydrostatic stress effect on switching dynamics in ferroelectrics

Analytic theory of hydrostatic stress effect on switching dynamics in ferroelectrics

Analytical properties of switching current transients in ferroelectrics

Dynamic Properties of Dielectric Susceptibility in Ferroelectric Thin Films

Contact Info

Product

Resources

About