Abstract:
Based on the Ginzburg-Landau-Devonshire phenomenological theory, the thickness-dependent ferroelectric and dielectric properties with and without depolarization field in epitaxial Ba
0.5Sr
0.5TiO
3 films were qualitatively studied. The results show that, compared with non-depolarization field, depolarization field makes the spatial distribution of polarization more uniform and inhibits the average polarization of the system, with the phase transition temperature (Δ
Tc) reduced but the critical thickness (Δ
hc, Δ
hm), and tunability (Δ
φ) increased, especially in the case of weak electrode compensation. With the 100-nm-thickness thin film, the values of Δ
Tc、Δ
hc、Δ
hm and Δ
φ are about -57.5 ℃, 15 nm, 40 nm and 20%, respectively. Moreover, the dielectric properties of epitaxial films depend on the ability of polarization to respond to external applied electric field rather than polarization itself, which can be fully proved by the completely opposite trends of thickness-dependent polarization and tunability.