Uncompensated Polarization in Incommensurate Modulations of Perovskite Antiferroelectrics
Tao Ma, Zhongming Fan, Bin Xu, Tae-Hoon Kim, Ping Lu, Laurent, Bellaiche, Matthew J. Kramer, Xiaoli Tan, and Lin Zhou

TL;DR
This paper reveals complex incommensurate polar structures in PbZrO$_3$ antiferroelectrics, challenging previous assumptions of fully compensated antiparallel cation displacements and providing new atomic-level insights.
Contribution
It uncovers previously unknown arrangements of Pb-cation displacements in incommensurate modulations, supported by advanced microscopy and ab initio calculations.
Findings
Pb-cation displacements are antiparallel with different magnitudes
Displacements are nearly orthogonal in adjacent stripes
Ab initio calculations support low-energy configurations
Abstract
Complex polar structures of incommensurate modulations (ICMs) are revealed in chemically modified PbZrO perovskite antiferroelectrics using advanced transmission electron microscopy techniques. The Pb-cation displacements, previously assumed to arrange in a fully-compensated antiparallel fashion, are found to be either antiparallel but with different magnitudes, or in a nearly orthogonal arrangement in adjacent stripes in the ICMs. Ab initio calculations corroborate the low-energy state of these arrangements. Our discovery corrects the atomic understanding of ICMs in PbZrO-based perovskite antiferroelectrics.
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