“…We find that the coupling of local modes with the epitaxial in-plane strain is much smaller, i.e., g x,y z = −2.4 and 3.1 eV/ Å 2 for BTO and STO, than the coupling with the out-of-plane strain, i.e., g zi z = −92 and −59 eV/ Å 2 for BTO and STO, respectively. 16 Analysis of H eff shows that ͑a͒ the polarization P z reduces with tensile strain for all superlattices, consistent with results of earlier first-principles calculations 17 and ͑b͒ the effect of interfacial term becomes strongly enhanced with tensile strain ͓see Fig. 1͑b͔͒.…”