First-principles study of polarization and piezoelectricity behavior in tetragonal PbTiO<sub>3</sub>-based superlattices<xref rid="cpb_27_2_027701fn1" ref-type="fn">*</xref> <fn id="cpb_27_2_027701fn1"> <label>*</label> <p>Project supported by the National Natural Science Foundation of China (Grant No. 11372085) and the Shenzhen Science and Technology Project (Grant No. JCYJ20150625142543461).</p> </fn>

First-principles study of polarization and piezoelectricity behavior in tetragonal PbTiO₃-based superlattices* *

Project supported by the National Natural Science Foundation of China (Grant No. 11372085) and the Shenzhen Science and Technology Project (Grant No. JCYJ20150625142543461).

Zhu Zhenye^†

(color online) The displacement from the center of the corresponding O₁₂ cage and O₈ cage in (a) PbTiO₃/KNbO₃ and (b) PbTiO₃/LaAlO₃ versus c-axis length change.