This paper explores ferroelectric–dielectric heterostructures comprising a ferroelectric oxide (Lead Zirconium Titanate $\left(\mathrm{P}\mathrm{b}\mathrm{Z}{\mathrm{r}}_{1-\mathrm{x}}\mathrm{T}{\mathrm{i}}_{\mathrm{x}}{\mathrm{O}}_3\right)$) with a varying mole fraction and a fixed dielectric oxide (Silicon dioxide $\left(\mathrm{S}\mathrm{i}{\mathrm{O}}_2\right)$). The study aims to enhance capacitance, optimize voltage amplification, and achieve stable negative capacitance. An isolated ferroelectric capacitor is examined by varying mole fractions of ferroelectric oxide. The negative capacitance in isolated ferroelectric capacitor is highly unstable in nature. The instability problem is fixed and the overall capacitance of the heterostructure is raised while the negative capacitance is stabilized by connecting a dielectric oxide in series with the ferroelectric capacitor. $\mathrm{P}\mathrm{b}\mathrm{Z}{\mathrm{r}}_{1-\mathrm{x}}\mathrm{T}{\mathrm{i}}_{\mathrm{x}}{\mathrm{O}}_3$ is utilized as the ferroelectric oxide, with mole fractions $x=0,0.2,0.4,0.6,0.8,1.0$. Among the investigated mole fractions, ferroelectric oxide with $x=0.6$ offers the maximum voltage amplification and improved capacitance because its capacitance closely matches the dielectric capacitance. Also, dynamic response and temperature analysis of heterostructure are studied further.

This work examines a cylindrical FE-DE heterostructure and compares its performance with that of a cylindrical FE-FE-DE heterostructure. It aims to maximize voltage amplification, increase capacitance, and attain a constant negative capacitance. First, the existence of negative capacitance is shown by analyzing isolated cylindrical ferroelectric capacitors. A cylindrical dielectric capacitor and a cylindrical ferroelectric capacitor are integrated in series to stabilize negative capacitance. Our results indicate that the capacitance of the FE-FE-DE stack, consisting of ${Si:HfO}_2$ and ${Zr:HfO}_2$, closely aligns with the dielectric capacitance. Consequently, enhanced performance is anticipated in comparison with the FE-DE arrangement. Additionally, the dynamic response of two distinct configurations was analyzed, yielding a comprehensive understanding of these heterostructures’ behavior.