Thermodynamic driving force of transient negative capacitance of ferroelectric capacitors

Abstract

This paper investigates the thermodynamic driving force of transient negative capacitance (NC) in the series circuit of the resistor and ferroelectric capacitor (R-FEC). We find that the widely used Landau-Khalatnikov (L-K) theory, that is, the minimum of the Gibbs free energy, is inapplicable to explain the transient NC. The thermodynamic driving force of the transient NC phenomenon is the minimum of the difference between the elastic Gibbs free energy and the electric polarization work.The appearance of the transient NC phenomenon is not due to the widely accepted view that the ferroelectric polarization goes through the negative curvature region of elastic Gibbs free energy landscape (G a ). Instead, the transient NC phenomenon appears when the energy barrier of G a disappears. The transient NC is dependent on both the intrinsic ferroelectric material parameters and extrinsic factors in the R-FEC circuit.Received: ((will be filled in by the editorial staff))Revised: ((will be filled in by the editorial staff))

Multiple factors of regulation for transient negative capacitance in PbZr(1−x)Ti(x)O3 ferroelectric thin films

“…This is consistent with the findings of Chang et al [35]. In addition, several studies indicated a close relationship between the transient NC and the negative curvature of the thermodynamic energy distribution [36,37]. Figure 2(d) demonstrates that both AB and CD periods satisfy d 2 U/dP 2 < 0, proving the existence of the unstable portion of the negative curvature of the thermodynamic energy profile.…”

Transient Negative Capacitance Induced by Charged Oxygen Vacancy Drift in HfO2‐Based Films

“…[7] Although this transient NC (TNC) effect was initially explained by the Landau-Khalatnikov (L-K) theory, [7,8] some recent studies argued that this phenomenon is not necessarily associated with the stabilization of NC region in the double-well Gibbs free energy landscape. [9][10][11][12][13] This scenario seems more applicable when the electric field (E) is constant, while in the TNC measurement E is a variable. [12] The domain nucleation limited switching (NLS) model based on the Kolmogorov-Avrami-Ishibashi formulism can successfully interpret the experimental findings for conventional ferroelectrics such as BaTiO 3 .…”

“…[9][10][11][12][13] This scenario seems more applicable when the electric field (E) is constant, while in the TNC measurement E is a variable. [12] The domain nucleation limited switching (NLS) model based on the Kolmogorov-Avrami-Ishibashi formulism can successfully interpret the experimental findings for conventional ferroelectrics such as BaTiO 3 . [11] As for the HfO 2 -based films, the majority of works show that TNC can be modeled by the multidomain time-dependent L-K scenario.…”