Uncompensated Polarization in Incommensurate Modulations of Perovskite Antiferroelectrics

Ma, Tao; Fan, Zhongming; Xu, Bin; Kim, Tae -Hoon; Lu, Ping; Bellaiche, Laurent; Kramer, Matthew J.; Tan, Xiaoli; Zhou, Lin

doi:10.1103/PhysRevLett.123.217602

Title: Uncompensated Polarization in Incommensurate Modulations of Perovskite Antiferroelectrics

Abstract

Complex polar structures of incommensurate modulations (ICMs) are revealed in chemically modified PbZrO₃ 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 PbZrO₃-based perovskite antiferroelectrics.

Authors:

^[1]; Fan, Zhongming ^[2]; Xu, Bin ^[3]; Kim, Tae -Hoon ^[1]; Lu, Ping ^[4]; Bellaiche, Laurent ^[5]; Kramer, Matthew J. ^[6]; Tan, Xiaoli ^[2];

^[6]

Ames Lab., Ames, IA (United States)
Iowa State Univ., Ames, IA (United States)
Univ. of Arkansas, Fayetteville, AR (United States); Soochow Univ., Jiangsu (China)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Univ. of Arkansas, Fayetteville, AR (United States)
Ames Lab., Ames, IA (United States); Iowa State Univ., Ames, IA (United States)

Publication Date:: Tue Nov 19 00:00:00 EST 2019

Research Org.:: Ames Lab., Ames, IA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1577118

Report Number(s):: IS-J-10076
Journal ID: ISSN 0031-9007; PRLTAO; TRN: US2102135

Grant/Contract Number:: DMR-1700014; AC02-07CH11358; N00014-17-1-2818; HR0011-15-2-0038

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 123; Journal Issue: 21; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats


                    Ma, Tao, Fan, Zhongming, Xu, Bin, Kim, Tae -Hoon, Lu, Ping, Bellaiche, Laurent, Kramer, Matthew J., Tan, Xiaoli, and Zhou, Lin. Uncompensated Polarization in Incommensurate Modulations of Perovskite Antiferroelectrics.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevLett.123.217602.

Copy to clipboard


                    Ma, Tao, Fan, Zhongming, Xu, Bin, Kim, Tae -Hoon, Lu, Ping, Bellaiche, Laurent, Kramer, Matthew J., Tan, Xiaoli, & Zhou, Lin. Uncompensated Polarization in Incommensurate Modulations of Perovskite Antiferroelectrics.  United States.  https://doi.org/10.1103/PhysRevLett.123.217602

Copy to clipboard


                    Ma, Tao, Fan, Zhongming, Xu, Bin, Kim, Tae -Hoon, Lu, Ping, Bellaiche, Laurent, Kramer, Matthew J., Tan, Xiaoli, and Zhou, Lin. Tue .  
"Uncompensated Polarization in Incommensurate Modulations of Perovskite Antiferroelectrics".  United States.  https://doi.org/10.1103/PhysRevLett.123.217602.  https://www.osti.gov/servlets/purl/1577118.

Copy to clipboard


                    
@article{osti_1577118,

  title        = {Uncompensated Polarization in Incommensurate Modulations of Perovskite Antiferroelectrics},

  author       = {Ma, Tao and Fan, Zhongming and Xu, Bin and Kim, Tae -Hoon and Lu, Ping and Bellaiche, Laurent and Kramer, Matthew J. and Tan, Xiaoli and Zhou, Lin},

  abstractNote = {Complex polar structures of incommensurate modulations (ICMs) are revealed in chemically modified PbZrO3 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 PbZrO3-based perovskite antiferroelectrics.},

  doi          = {10.1103/PhysRevLett.123.217602},

  journal      = {Physical Review Letters},

  number       = 21,

  volume       = 123,

  place        = {United States},

  year         = {Tue Nov 19 00:00:00 EST 2019},

  month        = {Tue Nov 19 00:00:00 EST 2019}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1103/PhysRevLett.123.217602

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 34 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Atomic-scale Chemical Imaging and Quantification of Metallic Alloy Structures by Energy-Dispersive X-ray Spectroscopy
journal, February 2014

Lu, Ping; Zhou, Lin; Kramer, M. J.
Scientific Reports, Vol. 4, Issue 1
DOI: 10.1038/srep03945

La-induced conversion between the ferroelectric and antiferroelectric incommensurate phases in ${Pb}_{1 - x} {La}_{x} ({Zr}_{1 - y} {Ti}_{y}) O_{3}$
journal, March 2004

Asada, T.; Koyama, Y.
Physical Review B, Vol. 69, Issue 10
DOI: 10.1103/PhysRevB.69.104108

An effect of crystal tilt on the determination of ions displacements in perovskite oxides under BF/HAADF-STEM imaging mode
journal, October 2016

Liu, Y.; Zhu, Y. L.; Tang, Y. L.
Journal of Materials Research, Vol. 32, Issue 5
DOI: 10.1557/jmr.2016.365

One-dimensional regular arrays of antiphase domain boundaries in anti-ferroelectric tin-substituted lead zirconate titanate (PZT) Ceramics
journal, April 1985

Chang, Yu-Jin; Lian, Jing-Yu; Wang, Yong-ling
Applied Physics A Solids and Surfaces, Vol. 36, Issue 4
DOI: 10.1007/BF00616557

Direct observation of the recovery of an antiferroelectric phase during polarization reversal of an induced ferroelectric phase
journal, April 2015

Guo, Hanzheng; Tan, Xiaoli
Physical Review B, Vol. 91, Issue 14
DOI: 10.1103/PhysRevB.91.144104

Order-disorder transition in the prototypical antiferroelectric ${PbZrO}_{3}$
journal, July 2019

Xu, Bin; Hellman, Olle; Bellaiche, L.
Physical Review B, Vol. 100, Issue 2
DOI: 10.1103/PhysRevB.100.020102

Electric-field-induced transformation of incommensurate modulations in antiferroelectric ${Pb}_{0.99} {Nb}_{0.02} {[{({Zr}_{1 - x} {Sn}_{x})}_{1 - y} {Ti}_{y}]}_{0.98} O_{3}$
journal, July 2005

He, Hui; Tan, Xiaoli
Physical Review B, Vol. 72, Issue 2
DOI: 10.1103/PhysRevB.72.024102

Superstructure Determination of PbZrO3
journal, October 1998

Yamasaki, K.; Soejima, Y.; Fischer, K. F.
Acta Crystallographica Section B Structural Science, Vol. 54, Issue 5
DOI: 10.1107/S0108768197018466

Field-Forced Antiferroelectric-to-Ferroelectric Switching in Modified Lead Zirconate Titanate Stannate Ceramics
journal, April 1989

Pan, Wuyi; Zhang, Qiming; Bhalla, Amar
Journal of the American Ceramic Society, Vol. 72, Issue 4
DOI: 10.1111/j.1151-2916.1989.tb06177.x

From ultrasoft pseudopotentials to the projector augmented-wave method
journal, January 1999

Kresse, G.; Joubert, D.
Physical Review B, Vol. 59, Issue 3, p. 1758-1775
DOI: 10.1103/PhysRevB.59.1758

Origin of atomic displacement in HAADF image of the tilted specimen
journal, November 2017

Cui, J.; Yao, Y.; Wang, Y. G.
Ultramicroscopy, Vol. 182
DOI: 10.1016/j.ultramic.2017.07.007

Can an Electric Field Induce an Antiferroelectric Phase Out of a Ferroelectric Phase?
journal, December 2010

Tan, X.; Frederick, J.; Ma, C.
Physical Review Letters, Vol. 105, Issue 25
DOI: 10.1103/PhysRevLett.105.255702

Electric field induced phase transition of antiferroelectric lead lanthanum zirconate titanate stannate ceramics
journal, August 1997

Park, Seung-Eek; Pan, Ming-Jen; Markowski, Kelley
Journal of Applied Physics, Vol. 82, Issue 4
DOI: 10.1063/1.365982

A Re-investigation of the Crystal Structure of the Perovskite PbZrO3 by X-ray and Neutron Diffraction
journal, February 1997

Corker, D. L.; Glazer, A. M.; Dec, J.
Acta Crystallographica Section B Structural Science, Vol. 53, Issue 1
DOI: 10.1107/S0108768196012414

Restoring the Density-Gradient Expansion for Exchange in Solids and Surfaces
journal, April 2008

Perdew, John P.; Ruzsinszky, Adrienn; Csonka, Gábor I.
Physical Review Letters, Vol. 100, Issue 13
DOI: 10.1103/PhysRevLett.100.136406

Incommensurately Modulated Polar Structures in Antiferroelectric Sn-Modified Lead Zirconate Titanate: The Modulated Structure and Its Influences on Electrically Induced Polarizations and Strains
journal, August 1995

Viehland, Dwight; Forst, Donald; Xu, Z.
Journal of the American Ceramic Society, Vol. 78, Issue 8
DOI: 10.1111/j.1151-2916.1995.tb08622.x

Atomap: a new software tool for the automated analysis of atomic resolution images using two-dimensional Gaussian fitting
journal, February 2017

Nord, Magnus; Vullum, Per Erik; MacLaren, Ian
Advanced Structural and Chemical Imaging, Vol. 3, Issue 1
DOI: 10.1186/s40679-017-0042-5

The structural phase transitions in lead zirconate in super-high electric fields
journal, January 1978

Fesenko, O. E.; Kolesova, R. V.; Sindeyev, Yu. G.
Ferroelectrics, Vol. 20, Issue 1
DOI: 10.1080/00150197808237203

X-Ray and Neutron Diffraction Study of Antiferroelectric Lead Zirconate, PbZr $O_{3}$
journal, February 1957

Jona, F.; Shirane, G.; Mazzi, F.
Physical Review, Vol. 105, Issue 3
DOI: 10.1103/PhysRev.105.849

Transducers Using Forced Transitions Between Ferroelectric and Antiferroelectric States
journal, October 1966

Berlincourt, D.
IEEE Transactions on Sonics and Ultrasonics, Vol. 13, Issue 4
DOI: 10.1109/T-SU.1966.29394

Antiferroelectric Structure of Lead Zirconate
journal, September 1951

Sawaguchi, E.; Maniwa, H.; Hoshino, S.
Physical Review, Vol. 83, Issue 5
DOI: 10.1103/PhysRev.83.1078

Dielectric Properties of Lead Zirconate
journal, November 1951

Shirane, G.; Sawaguchi, E.; Takagi, Y.
Physical Review, Vol. 84, Issue 3
DOI: 10.1103/PhysRev.84.476

The Antiferroelectric ↔ Ferroelectric Phase Transition in Lead-Containing and Lead-Free Perovskite Ceramics
journal, November 2011

Tan, Xiaoli; Ma, Cheng; Frederick, Joshua
Journal of the American Ceramic Society, Vol. 94, Issue 12
DOI: 10.1111/j.1551-2916.2011.04917.x

Atomistic mechanism leading to complex antiferroelectric and incommensurate perovskites
journal, August 2016

Patel, Kinnary; Prosandeev, Sergey; Yang, Yurong
Physical Review B, Vol. 94, Issue 5
DOI: 10.1103/PhysRevB.94.054107

Theory of Antiferroelectric Crystals
journal, June 1951

Kittel, C.
Physical Review, Vol. 82, Issue 5
DOI: 10.1103/PhysRev.82.729

Giant LO-TO splittings in perovskite ferroelectrics
journal, May 1994

Zhong, W.; King-Smith, R. D.; Vanderbilt, David
Physical Review Letters, Vol. 72, Issue 22
DOI: 10.1103/PhysRevLett.72.3618

Critical Thickness for Antiferroelectricity in ${PbZrO}_{3}$
journal, August 2015

Mani, B. K.; Chang, C. -M.; Lisenkov, S.
Physical Review Letters, Vol. 115, Issue 9
DOI: 10.1103/PhysRevLett.115.097601

Effects of quenched disorder on La-modified lead zirconate titanate: Long- and short-range ordered structurally incommensurate phases, and glassy polar clusters
journal, July 1998

Viehland, Dwight; Dai, X. H.; Li, J. F.
Journal of Applied Physics, Vol. 84, Issue 1
DOI: 10.1063/1.368049

TEM study of superstructure in a perovskite lead lanthanum zirconate stannate titanate ceramic
journal, December 2003

Cai, Y.; Phillipp, F.; Zimmermann, A.
Acta Materialia, Vol. 51, Issue 20
DOI: 10.1016/j.actamat.2003.08.012

Atomic-Scale Imaging and Quantification of Electrical Polarisation in Incommensurate Antiferroelectric Lanthanum-Doped Lead Zirconate Titanate
journal, November 2011

MacLaren, Ian; Villaurrutia, Rafael; Schaffer, Bernhard
Advanced Functional Materials, Vol. 22, Issue 2
DOI: 10.1002/adfm.201101220

Reducing Dzyaloshinskii-Moriya interaction and field-free spin-orbit torque switching in synthetic antiferromagnets
journal, May 2021

Chen, Ruyi; Cui, Qirui; Liao, Liyang
Nature Communications, Vol. 12, Issue 1
DOI: 10.1038/s41467-021-23414-3

Dielectric Properties of Lead Zirconate
journal, May 1951

Shirane, Gen; Sawaguchi, Etsuro; Takagi, Yutaka
Journal of the Physical Society of Japan, Vol. 6, Issue 3
DOI: 10.1143/jpsj.6.208

Works referencing / citing this record:

TEM investigation of the domain structure in PbHfO3 and PbZrO3 antiferroelectric perovskites
journal, January 2020

Fan, Zhongming; Ma, Tao; Wei, Jing
Journal of Materials Science, Vol. 55, Issue 12
DOI: 10.1007/s10853-020-04361-8

Similar Records in DOE PAGES and OSTI.GOV collections:

An intriguing intermediate state as a bridge between antiferroelectric and ferroelectric perovskites

Journal Article Liu, Hui ; Zhou, Zhengyang ; Qiu, Yi ; ... - Materials Horizons

The configuration of electric or magnetic dipoles embedded into a crystal lattice gives rise to the defining physical properties of a functional material. The prevailing antiferroelectric materials have so far been allusively assumed to be in a strict antiparallel electric polarization configuration, although they have shown huge potential applications for use in electronic devices. Herein, we have revealed for the first time the complex crystal structure of an intermediate state between the two conventional antiferroelectric (AFE) and ferroelectric (FE) states in PbZrO₃-based perovskites by employing a combination of advanced synchrotron X-ray, neutron and three-dimensional (3D) electron diffraction techniques. We foundmore »« less
https://doi.org/10.1039/d0mh00253d

Full Text Available
Electric-field-induced transformation of incommensurate modulations in antiferroelectric Pb{sub 0.99}Nb{sub 0.02}[(Zr{sub 1-x}Sn{sub x}){sub 1-y}Ti{sub y}]{sub 0.98}O{sub 3}

Journal Article Hui, He ; Xiaoli, Tan - Physical Review. B, Condensed Matter and Materials Physics

Most antiferroelectric ceramics are modified from the prototype PbZrO{sub 3} by adding Sn and Ti in conjunction with small amount of Nb or La to optimize their properties. These modifiers introduce unique nanoscale structural feature to the ceramics in the form of incommensurate modulations. It was shown previously that the modulation is strongly responsive to a change in chemical composition or temperature. However, its response to an electric field, the driving force in real applications, has not been explored before. In the present work the dynamic evolution of the incommensurate modulation during the electric field-induced antiferroelectric-to-ferroelectric transformation was observed withmore »« less
https://doi.org/10.1103/PhysRevB.72.024102
Interaction Dynamics Between Ferroelectric and Antiferroelectric Domains in a ${Pb Zr O}_{3}$ -Based Ceramic

Journal Article Fan, Zhongming ; Xue, Fei ; Tutuncu, Goknur ; ... - Physical Review Applied

The antiferroelectric-ferroelectric phase transition in PbZrO₃-based oxides is of both fundamental and practical importance. In ceramics in which such a transition readily occurs, the antiferroelectric and the ferroelectric phases often coexist in individual grains with a coherent interphase interface. In this work, the electric biasing in situ transmission electron microscopy technique is employed to directly observe a unique microstructural dynamic when ferroelectric and antiferroelectric domains are driven by a moderate electric field to interact. It is found that, under monotonic loading, the ferroelectric domain grows until it is blocked by the ferroelectric-antiferroelectric interface. At the same time, a kink ismore »« less
Cited by 18
https://doi.org/10.1103/physrevapplied.11.064050

Full Text Available
Coexistence and Coupling of Multiple Charge Orderings and Spin States in Hexagonal Ferrite

Journal Article Cheng, Shaobo ; Li, Xing ; Xu, Changsong ; ... - Nano Letters

The coupling between charge and spin orderings in strongly correlated systems plays a crucial role in fundamental physics and device applications. As a candidate of multiferroic materials, LuFe₂O₄ with a nominal Fe^2.5+ valence state has the potential for strong charge–spin interactions; however, these interactions have not been fully understood until now. Here, combining complementary characterization methods with theoretical calculations, two types of charge orderings with distinct magnetic properties are revealed. The ground states of LuFe₂O₄ are decided by the parallel/antiparallel coupling of both charge and spin orderings in the adjacent FeO double layers. Whereas the ferroelectric charge ordering remains ferrimagneticmore »« less
https://doi.org/10.1021/acs.nanolett.1c01624

Full Text Available
Ferroelectric domains and incommensuration in the intermediate phase region of lead zirconate

Journal Article Xu, Z ; Dai, X ; Viehland, D ; ... - Journal of the American Ceramic Society

Electron microscopy of lead zirconate (PbZrO{sub 3}) identified the presence of an intermediate region between the high-temperature cubic state and the low-temperature antiferroelectric state. Ferroelectric domains were found to occur between 200 and 230 C on cooling. Convergent-beam electron diffraction studies identified rhombohedral symmetry for the ferroelectric phase. Selected area electron diffraction patterns determined {1/2}{l_brace}110{r_brace} superlattice reflections in the ferroelectric state. The reflections were associated with a softening of an M-type oxygen octahedral rotation mode. In addition, 1/x{l_brace}110{r_brace} incommensurate superlattice reflections were detected within a narrow temperature range for PbZrO{sub 3} between the intermediate ferroelectric and low-temperature antiferroelectric states.
https://doi.org/10.1111/j.1151-2916.1995.tb08641.x

Similar Records

Title: Uncompensated Polarization in Incommensurate Modulations of Perovskite Antiferroelectrics

Abstract

Citation Formats

Atomic-scale Chemical Imaging and Quantification of Metallic Alloy Structures by Energy-Dispersive X-ray Spectroscopy journal, February 2014

La-induced conversion between the ferroelectric and antiferroelectric incommensurate phases in Pb 1 − x La x ( Zr 1 − y Ti y ) O 3 journal, March 2004

An effect of crystal tilt on the determination of ions displacements in perovskite oxides under BF/HAADF-STEM imaging mode journal, October 2016

One-dimensional regular arrays of antiphase domain boundaries in anti-ferroelectric tin-substituted lead zirconate titanate (PZT) Ceramics journal, April 1985

Direct observation of the recovery of an antiferroelectric phase during polarization reversal of an induced ferroelectric phase journal, April 2015

Order-disorder transition in the prototypical antiferroelectric PbZrO 3 journal, July 2019

Electric-field-induced transformation of incommensurate modulations in antiferroelectric Pb 0.99 Nb 0.02 [ ( Zr 1 − x Sn x ) 1 − y Ti y ] 0.98 O 3 journal, July 2005

Superstructure Determination of PbZrO3 journal, October 1998

Field-Forced Antiferroelectric-to-Ferroelectric Switching in Modified Lead Zirconate Titanate Stannate Ceramics journal, April 1989

From ultrasoft pseudopotentials to the projector augmented-wave method journal, January 1999

Origin of atomic displacement in HAADF image of the tilted specimen journal, November 2017

Can an Electric Field Induce an Antiferroelectric Phase Out of a Ferroelectric Phase? journal, December 2010

Electric field induced phase transition of antiferroelectric lead lanthanum zirconate titanate stannate ceramics journal, August 1997

A Re-investigation of the Crystal Structure of the Perovskite PbZrO3 by X-ray and Neutron Diffraction journal, February 1997

Restoring the Density-Gradient Expansion for Exchange in Solids and Surfaces journal, April 2008

Incommensurately Modulated Polar Structures in Antiferroelectric Sn-Modified Lead Zirconate Titanate: The Modulated Structure and Its Influences on Electrically Induced Polarizations and Strains journal, August 1995

Atomap: a new software tool for the automated analysis of atomic resolution images using two-dimensional Gaussian fitting journal, February 2017

The structural phase transitions in lead zirconate in super-high electric fields journal, January 1978

X-Ray and Neutron Diffraction Study of Antiferroelectric Lead Zirconate, PbZr O 3 journal, February 1957

Transducers Using Forced Transitions Between Ferroelectric and Antiferroelectric States journal, October 1966

Antiferroelectric Structure of Lead Zirconate journal, September 1951

Dielectric Properties of Lead Zirconate journal, November 1951

The Antiferroelectric ↔ Ferroelectric Phase Transition in Lead-Containing and Lead-Free Perovskite Ceramics journal, November 2011

Atomistic mechanism leading to complex antiferroelectric and incommensurate perovskites journal, August 2016

Theory of Antiferroelectric Crystals journal, June 1951

Giant LO-TO splittings in perovskite ferroelectrics journal, May 1994

Critical Thickness for Antiferroelectricity in PbZrO 3 journal, August 2015

Effects of quenched disorder on La-modified lead zirconate titanate: Long- and short-range ordered structurally incommensurate phases, and glassy polar clusters journal, July 1998

TEM study of superstructure in a perovskite lead lanthanum zirconate stannate titanate ceramic journal, December 2003

Atomic-Scale Imaging and Quantification of Electrical Polarisation in Incommensurate Antiferroelectric Lanthanum-Doped Lead Zirconate Titanate journal, November 2011

Reducing Dzyaloshinskii-Moriya interaction and field-free spin-orbit torque switching in synthetic antiferromagnets journal, May 2021

Dielectric Properties of Lead Zirconate journal, May 1951

TEM investigation of the domain structure in PbHfO3 and PbZrO3 antiferroelectric perovskites journal, January 2020

Atomic-scale Chemical Imaging and Quantification of Metallic Alloy Structures by Energy-Dispersive X-ray Spectroscopy
journal, February 2014

La-induced conversion between the ferroelectric and antiferroelectric incommensurate phases in ${Pb}_{1 - x} {La}_{x} ({Zr}_{1 - y} {Ti}_{y}) O_{3}$
journal, March 2004

An effect of crystal tilt on the determination of ions displacements in perovskite oxides under BF/HAADF-STEM imaging mode
journal, October 2016

One-dimensional regular arrays of antiphase domain boundaries in anti-ferroelectric tin-substituted lead zirconate titanate (PZT) Ceramics
journal, April 1985

Direct observation of the recovery of an antiferroelectric phase during polarization reversal of an induced ferroelectric phase
journal, April 2015

Order-disorder transition in the prototypical antiferroelectric ${PbZrO}_{3}$
journal, July 2019

Electric-field-induced transformation of incommensurate modulations in antiferroelectric ${Pb}_{0.99} {Nb}_{0.02} {[{({Zr}_{1 - x} {Sn}_{x})}_{1 - y} {Ti}_{y}]}_{0.98} O_{3}$
journal, July 2005

Superstructure Determination of PbZrO3
journal, October 1998

Field-Forced Antiferroelectric-to-Ferroelectric Switching in Modified Lead Zirconate Titanate Stannate Ceramics
journal, April 1989

From ultrasoft pseudopotentials to the projector augmented-wave method
journal, January 1999

Origin of atomic displacement in HAADF image of the tilted specimen
journal, November 2017

Can an Electric Field Induce an Antiferroelectric Phase Out of a Ferroelectric Phase?
journal, December 2010

Electric field induced phase transition of antiferroelectric lead lanthanum zirconate titanate stannate ceramics
journal, August 1997

A Re-investigation of the Crystal Structure of the Perovskite PbZrO3 by X-ray and Neutron Diffraction
journal, February 1997

Restoring the Density-Gradient Expansion for Exchange in Solids and Surfaces
journal, April 2008

Incommensurately Modulated Polar Structures in Antiferroelectric Sn-Modified Lead Zirconate Titanate: The Modulated Structure and Its Influences on Electrically Induced Polarizations and Strains
journal, August 1995

Atomap: a new software tool for the automated analysis of atomic resolution images using two-dimensional Gaussian fitting
journal, February 2017

The structural phase transitions in lead zirconate in super-high electric fields
journal, January 1978

X-Ray and Neutron Diffraction Study of Antiferroelectric Lead Zirconate, PbZr $O_{3}$
journal, February 1957

Transducers Using Forced Transitions Between Ferroelectric and Antiferroelectric States
journal, October 1966

Antiferroelectric Structure of Lead Zirconate
journal, September 1951

Dielectric Properties of Lead Zirconate
journal, November 1951

The Antiferroelectric ↔ Ferroelectric Phase Transition in Lead-Containing and Lead-Free Perovskite Ceramics
journal, November 2011

Atomistic mechanism leading to complex antiferroelectric and incommensurate perovskites
journal, August 2016

Theory of Antiferroelectric Crystals
journal, June 1951

Giant LO-TO splittings in perovskite ferroelectrics
journal, May 1994

Critical Thickness for Antiferroelectricity in ${PbZrO}_{3}$
journal, August 2015

Effects of quenched disorder on La-modified lead zirconate titanate: Long- and short-range ordered structurally incommensurate phases, and glassy polar clusters
journal, July 1998

TEM study of superstructure in a perovskite lead lanthanum zirconate stannate titanate ceramic
journal, December 2003

Atomic-Scale Imaging and Quantification of Electrical Polarisation in Incommensurate Antiferroelectric Lanthanum-Doped Lead Zirconate Titanate
journal, November 2011

Reducing Dzyaloshinskii-Moriya interaction and field-free spin-orbit torque switching in synthetic antiferromagnets
journal, May 2021

Dielectric Properties of Lead Zirconate
journal, May 1951

TEM investigation of the domain structure in PbHfO3 and PbZrO3 antiferroelectric perovskites
journal, January 2020