Polarization effect on the growth of Pt thin films on PbTiO$_3$ (100) surfaces

Results of Density Functional Theory calculations performed on Pt thin films grown on PbTiO$_3$ (100) Ferroelectric (FE) ideal surface terminations are discussed. We analyze the effect of the ferroelectric polarization on the metal-oxide interface and how this in turn influences the growth of Pt thin films on PbTiO$_3$. Our results suggest a preferential stacking ordering for the Pt layers that depends on the polarization of the surface: The \textbf{\textit{hollow}}-top-hollow... arrangement is preferred over the \textbf{\textit{top}}-hollow-top... registry for the positive (P$^+$) polarization surface; however, this predilection is reversed for the negative (P$^-$) polarization surface. The effect of strain in the adsorption of Pt layers will also be discussed. This polarization-dependent preference for the adsorption of Pt layers onto FE surfaces could be of interest in understanding the mechanism of polarization fatigue.