Enhancement of piezoelectricity in a mixed ferroelectric
Eric Cockayne, Karin M. Rabe

TL;DR
This study uses first-principles calculations to demonstrate that cation ordering and local relaxation significantly enhance the piezoelectric response in Pb_3GeTe_4, with the tetragonal phase showing a threefold increase over the cubic phase.
Contribution
It provides a detailed computational analysis revealing how cation ordering and local relaxation improve piezoelectric properties in a mixed ferroelectric material.
Findings
Tetragonal configuration's piezoelectric coefficient is three times larger than cubic.
Cation ordering and local relaxation weaken ferroelectric instability.
Enhanced piezoelectricity linked to larger cation-anion displacements and higher Born charges.
Abstract
We use first-principles density-functional total energy and polarization calculations to calculate the piezoelectric tensor at zero temperature for both cubic and simple tetragonal ordered supercells of Pb_3GeTe_4. The largest piezoelectric coefficient for the tetragonal configuration is enhanced by a factor of about three with respect to that of the cubic configuration. This can be attributed to both the larger strain-induced motion of cations relative to anions and higher Born effective charges in the tetragonal case. A normal mode decomposition shows that both cation ordering and local relaxation weaken the ferroelectric instability, enhancing piezoelectricity.
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