“…Although the interfacial-layer concept has been shown to be successful in explaining many of the experimental data in the literature, an experimentally consistent explanation for the nature of such layers is still lacking. Various models proposed in the past include a defect/space-charge layer with low ε at the electrode-ferroelectric interface, 9 termination of chemical bonds at the interface, 10 interdiffusion of elements, 11 chemically different phases/layers, 12 changes in spontaneous polarization and polarizability of surface layers, [13][14][15] polarization reduction at the film surface due to an increase in the depolarization field as film thickness decreases, 16 Schottky barrier formation and the resultant surface depletion layer, 17 finite electronic screening length in metallic electrodes, 18 strain 19 /strain-gradient coupling 20 at the ferroelectric-electrode interface and so forth. However, none of the above is fully consistent with the extensive body of experimental observations published previously, and a complete understanding of the origin of size effects in ferroelectric thin-film capacitors has not been achieved so far.…”