Topological phase transformations and intrinsic size effects in ferroelectric nanoparticles
Abstract
Here, composite materials comprised of ferroelectric nanoparticles in a dielectric matrix are being actively investigated for a variety of functional properties attractive for a wide range of novel electronic and energy harvesting devices. However, the dependence of these functionalities on shapes, sizes, orientation and mutual arrangement of ferroelectric particles is currently not fully understood. In this study, we utilize a time-dependent Ginzburg-Landau approach combined with coupled-physics finite-element-method based simulations to elucidate the behavior of polarization in isolated spherical PbTiO3 or BaTiO3 nanoparticles embedded in a dielectric medium, including air. The equilibrium polarization topology is strongly affected by particle diameter, as well as the choice of inclusion and matrix materials, with monodomain, vortex-like and multidomain patterns emerging for various combinations of size and materials parameters. This leads to radically different polarization vs electric field responses, resulting in highly tunable size-dependent dielectric properties that should be possible to observe experimentally. Our calculations show that there is a critical particle size below which ferroelectricity vanishes. For the PbTiO3 particle, this size is 2 and 3.4 nm, respectively, for high- and low-permittivity media. For the BaTiO3 particle, it is ~3.6 nm regardless of the medium dielectric strength.
- Authors:
-
- Univ. of Connecticut, Storrs, CT (United States)
- Northwestern Univ., Evanston, IL (United States)
- Northwestern Univ., Evanston, IL (United States); Argonne National Lab. (ANL), Lemont, IL (United States)
- Publication Date:
- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1352530
- Grant/Contract Number:
- AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nanoscale
- Additional Journal Information:
- Journal Volume: 9; Journal Issue: 4; Journal ID: ISSN 2040-3364
- Publisher:
- Royal Society of Chemistry
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE
Citation Formats
Mangeri, John, Espinal, Yomery, Jokisaari, Andrea M., Alpay, S. Pamir, Nakhmanson, Serge, and Heinonen, Olle G. Topological phase transformations and intrinsic size effects in ferroelectric nanoparticles. United States: N. p., 2017.
Web. doi:10.1039/C6NR09111C.
Mangeri, John, Espinal, Yomery, Jokisaari, Andrea M., Alpay, S. Pamir, Nakhmanson, Serge, & Heinonen, Olle G. Topological phase transformations and intrinsic size effects in ferroelectric nanoparticles. United States. https://doi.org/10.1039/C6NR09111C
Mangeri, John, Espinal, Yomery, Jokisaari, Andrea M., Alpay, S. Pamir, Nakhmanson, Serge, and Heinonen, Olle G. Fri .
"Topological phase transformations and intrinsic size effects in ferroelectric nanoparticles". United States. https://doi.org/10.1039/C6NR09111C. https://www.osti.gov/servlets/purl/1352530.
@article{osti_1352530,
title = {Topological phase transformations and intrinsic size effects in ferroelectric nanoparticles},
author = {Mangeri, John and Espinal, Yomery and Jokisaari, Andrea M. and Alpay, S. Pamir and Nakhmanson, Serge and Heinonen, Olle G.},
abstractNote = {Here, composite materials comprised of ferroelectric nanoparticles in a dielectric matrix are being actively investigated for a variety of functional properties attractive for a wide range of novel electronic and energy harvesting devices. However, the dependence of these functionalities on shapes, sizes, orientation and mutual arrangement of ferroelectric particles is currently not fully understood. In this study, we utilize a time-dependent Ginzburg-Landau approach combined with coupled-physics finite-element-method based simulations to elucidate the behavior of polarization in isolated spherical PbTiO3 or BaTiO3 nanoparticles embedded in a dielectric medium, including air. The equilibrium polarization topology is strongly affected by particle diameter, as well as the choice of inclusion and matrix materials, with monodomain, vortex-like and multidomain patterns emerging for various combinations of size and materials parameters. This leads to radically different polarization vs electric field responses, resulting in highly tunable size-dependent dielectric properties that should be possible to observe experimentally. Our calculations show that there is a critical particle size below which ferroelectricity vanishes. For the PbTiO3 particle, this size is 2 and 3.4 nm, respectively, for high- and low-permittivity media. For the BaTiO3 particle, it is ~3.6 nm regardless of the medium dielectric strength.},
doi = {10.1039/C6NR09111C},
journal = {Nanoscale},
number = 4,
volume = 9,
place = {United States},
year = {2017},
month = {1}
}
Web of Science
Works referenced in this record:
Ferroelectricity in Ultrathin Perovskite Films
journal, June 2004
- Fong, Dillon D.; Stephenson, G. Brian; Streiffer, Stephen K.
- Science, Vol. 304, Issue 5677, p. 1650-1653
A ferroelectric memristor
journal, September 2012
- Chanthbouala, André; Garcia, Vincent; Cherifi, Ryan O.
- Nature Materials, Vol. 11, Issue 10
Discovery of stable skyrmionic state in ferroelectric nanocomposites
journal, October 2015
- Nahas, Y.; Prokhorenko, S.; Louis, L.
- Nature Communications, Vol. 6, Issue 1
Unusual phase transitions in ferroelectric nanodisks and nanorods
journal, December 2004
- Naumov, Ivan I.; Bellaiche, L.; Fu, Huaxiang
- Nature, Vol. 432, Issue 7018
Ferroelectric Phase Transitions in Small Particles and Local Regions
journal, August 2013
- Levanyuk, A. P.; Blinc, R.
- Physical Review Letters, Vol. 111, Issue 9
Phenomenological model of a 90° domain wall in -type ferroelectrics
journal, September 2006
- Hlinka, J.; Márton, P.
- Physical Review B, Vol. 74, Issue 10
Domain Structure in the Tetragonal Phase of BaTiO 3 – from Bulk to Nanoparticles
journal, January 2012
- Grünebohm, A.; Gruner, M. E.; Entel, P.
- Ferroelectrics, Vol. 426, Issue 1
Core-Shell Structured High- k Polymer Nanocomposites for Energy Storage and Dielectric Applications
journal, September 2014
- Huang, Xingyi; Jiang, Pingkai
- Advanced Materials, Vol. 27, Issue 3
Observation of polar vortices in oxide superlattices
journal, January 2016
- Yadav, A. K.; Nelson, C. T.; Hsu, S. L.
- Nature, Vol. 530, Issue 7589
Electrostatically assisted fabrication of silver–dielectric core/shell nanoparticles thin film capacitor with uniform metal nanoparticle distribution and controlled spacing
journal, March 2016
- Li, Xue; Niitsoo, Olivia; Couzis, Alexander
- Journal of Colloid and Interface Science, Vol. 465
Multidomain switching in the ferroelectric nanodots
journal, September 2015
- Martelli, Pierre-William; Mefire, Séraphin M.; Luk'yanchuk, Igor A.
- EPL (Europhysics Letters), Vol. 111, Issue 5
Solvothermal synthesis and controlled self-assembly of monodisperse titanium-based perovskite colloidal nanocrystals
journal, January 2015
- Caruntu, Daniela; Rostamzadeh, Taha; Costanzo, Tommaso
- Nanoscale, Vol. 7, Issue 30
Multilevel Data Storage Memory Using Deterministic Polarization Control
journal, December 2011
- Lee, Daesu; Yang, Sang Mo; Kim, Tae Heon
- Advanced Materials, Vol. 24, Issue 3
Synthesis and piezoelectric response of cubic and spherical LiNbO3 nanocrystals
journal, January 2012
- Mohanty, Debasish; Chaubey, Girija S.; Yourdkhani, Amin
- RSC Advances, Vol. 2, Issue 5
Ferroelectric Memories
journal, December 1989
- Scott, J. F.; Paz de Araujo, C. A.
- Science, Vol. 246, Issue 4936
Bimodal Polymer Brush Core–Shell Barium Titanate Nanoparticles: A Strategy for High-Permittivity Polymer Nanocomposites
journal, November 2015
- Qiao, Yali; Yin, Xiaodong; Wang, Lei
- Macromolecules, Vol. 48, Issue 24
High K Capacitors and OFET Gate Dielectrics from Self-Assembled BaTiO 3 and (Ba,Sr)TiO 3 Nanocrystals in the Superparaelectric Limit
journal, February 2010
- Huang, Limin; Jia, Zhang; Kymissis, Ioannis
- Advanced Functional Materials, Vol. 20, Issue 4
Pyroelectric and dielectric properties of ferroelectric films with interposed dielectric buffer layers
journal, December 2014
- Espinal, Y.; Kesim, M. T.; Misirlioglu, I. B.
- Applied Physics Letters, Vol. 105, Issue 23
Direct Observation of the Proliferation of Ferroelectric Loop Domains and Vortex-Antivortex Pairs
journal, April 2012
- Chae, S. C.; Lee, N.; Horibe, Y.
- Physical Review Letters, Vol. 108, Issue 16
Complex surface structure of (110) terminated strontium titanate nanododecahedra
journal, January 2016
- Crosby, Lawrence A.; Kennedy, Robert M.; Chen, Bor-Rong
- Nanoscale, Vol. 8, Issue 37
Dynamically stabilized magnetic skyrmions
journal, September 2015
- Zhou, Y.; Iacocca, E.; Awad, A. A.
- Nature Communications, Vol. 6, Issue 1
Electrostatically driven dielectric anomaly in mesoscopic ferroelectric–paraelectric bilayers
journal, February 2016
- Khassaf, H.; Khakpash, N.; Vijayan, S.
- Acta Materialia, Vol. 105
Thermodynamic theory of intrinsic finite size effects in PbTiO3 nanocrystals. II. Dielectric and piezoelectric properties
journal, March 2007
- Akdogan, E. K.; Safari, A.
- Journal of Applied Physics, Vol. 101, Issue 6
Phase-field simulations of ferroelectric/ferroelastic polarization switching
journal, February 2004
- Wang, Jie; Shi, San-Qiang; Chen, Long-Qing
- Acta Materialia, Vol. 52, Issue 3
Quantitative Analysis of Magnetic Excitations in Landau Flux-Closure Structures Using Synchrotron-Radiation Microscopy
journal, June 2005
- Raabe, J.; Quitmann, C.; Back, C. H.
- Physical Review Letters, Vol. 94, Issue 21
Unusual Polarization Patterns in Flat Epitaxial Ferroelectric Nanoparticles
journal, September 2008
- Naumov, Ivan; Bratkovsky, Alexander M.
- Physical Review Letters, Vol. 101, Issue 10
Ferroelectric Mesocrystalline BaTiO 3 /SrTiO 3 Nanocomposites with Enhanced Dielectric and Piezoelectric Responses
journal, July 2015
- Hu, Dengwei; Ma, Hao; Tanaka, Yasuhiro
- Chemistry of Materials, Vol. 27, Issue 14
Exotic Domain States in Ferroelectrics: Searching for Vortices and Skyrmions
journal, January 2012
- Gregg, J. M.
- Ferroelectrics, Vol. 433, Issue 1
Strain induced vortex-to-uniform polarization transitions in soft-ferroelectric nanoparticles
journal, June 2014
- Lee, Byounghak; Nakhmanson, Serge M.; Heinonen, Olle
- Applied Physics Letters, Vol. 104, Issue 26
Scaling Effects in Perovskite Ferroelectrics: Fundamental Limits and Process-Structure-Property Relations
journal, July 2016
- Ihlefeld, Jon F.; Harris, David T.; Keech, Ryan
- Journal of the American Ceramic Society, Vol. 99, Issue 8
Surface-Initiated Polymerization from Barium Titanate Nanoparticles for Hybrid Dielectric Capacitors
journal, February 2014
- Paniagua, Sergio A.; Kim, Yunsang; Henry, Katherine
- ACS Applied Materials & Interfaces, Vol. 6, Issue 5
Thermodynamic theory of intrinsic finite-size effects in PbTiO3 nanocrystals. I. Nanoparticle size-dependent tetragonal phase stability
journal, March 2007
- Akdogan, E. K.; Safari, A.
- Journal of Applied Physics, Vol. 101, Issue 6
Low-temperature fabrication of titanium metal/barium titanate composite capacitors via hydrothermal method and their dielectric properties
journal, January 2014
- Ueno, Shintaro; Sakamoto, Yasunao; Nakashima, Kouichi
- Journal of the Ceramic Society of Japan, Vol. 122, Issue 1426
Tailoring dielectric properties of ferroelectric-dielectric multilayers
journal, January 2014
- Kesim, M. T.; Cole, M. W.; Zhang, J.
- Applied Physics Letters, Vol. 104, Issue 2
A new method for achieving enhanced dielectric response over a wide temperature range
journal, October 2015
- Maurya, Deepam; Sun, Fu-Chang; Pamir Alpay, S.
- Scientific Reports, Vol. 5, Issue 1
Magnetoelectric coupling on multiferroic cobalt ferrite–barium titanate ceramic composites with different connectivity schemes
journal, May 2015
- Etier, Morad; Schmitz-Antoniak, Carolin; Salamon, Soma
- Acta Materialia, Vol. 90
Superparaelectric phase in the ensemble of noninteracting ferroelectric nanoparticles
journal, October 2008
- Glinchuk, M. D.; Eliseev, E. A.; Morozovska, A. N.
- Physical Review B, Vol. 78, Issue 13
Velocity of domain-wall motion during polarization reversal in ferroelectric thin films: Beyond Merz's Law
journal, February 2015
- Meng, Qingping; Han, Myung-Geun; Tao, Jing
- Physical Review B, Vol. 91, Issue 5
The Properties of Ferroelectric Films at Small Dimensions
journal, August 2000
- Shaw, T. M.; Trolier-McKinstry, S.; McIntyre, P. C.
- Annual Review of Materials Science, Vol. 30, Issue 1
Ferroelectric tunnel junctions for information storage and processing
journal, July 2014
- Garcia, Vincent; Bibes, Manuel
- Nature Communications, Vol. 5, Issue 1
The Physics of Ferroelectric Memories
journal, July 1998
- Auciello, Orlando; Scott, James F.; Ramesh, Ramamoorthy
- Physics Today, Vol. 51, Issue 7
Atomistic treatment of depolarizing energy and field in ferroelectric nanostructures
journal, October 2005
- Ponomareva, I.; Naumov, I. I.; Kornev, I.
- Physical Review B, Vol. 72, Issue 14
Micromagnetic simulation studies of ferromagnetic part spheres
journal, May 2005
- Boardman, Richard P.; Zimmermann, Jürgen; Fangohr, Hans
- Journal of Applied Physics, Vol. 97, Issue 10
Ferroelectric order in individual nanometre-scale crystals
journal, July 2012
- Polking, Mark J.; Han, Myung-Geun; Yourdkhani, Amin
- Nature Materials, Vol. 11, Issue 8
MOOSE: A parallel computational framework for coupled systems of nonlinear equations
journal, October 2009
- Gaston, Derek; Newman, Chris; Hansen, Glen
- Nuclear Engineering and Design, Vol. 239, Issue 10
Unusual Phase Transitions in Ferroelectric Nanodisks and Nanorods
journal, March 2005
- Naumov, Ivan I.; Bellaiche, L.; Fu, Huaxiang
- ChemInform, Vol. 36, Issue 9
Nonvolatile ferroelectric field-effect transistors
journal, June 2020
- Chai, Xiaojie; Jiang, Jun; Zhang, Qinghua
- Nature Communications, Vol. 11, Issue 1
Dynamically stabilized magnetic skyrmions
text, January 2015
- Zhou, Y.; Iacocca, Ezio; Awad, Ahmad A.
- ETH Zurich
Quantitative Analysis of Magnetic Excitations in Landau Flux-Closure Structures Using Synchrotron-Radiation Microscopy
text, January 2005
- Raabe, Jörg; Quitmann, C.; Back, Christian
- Universität Regensburg
Unusual polarization patterns in flat epitaxial ferroelectric nanoparticles
text, January 2008
- Naumov, Ivan I.; Bratkovsky, Alexander M.
- arXiv
Superparaelectric phase in the ensemble of non-interacting ferroelectric nanoparticles
text, January 2008
- Glinchuk, M. D.; Eliseev, E. A.; Morozovska, A. N.
- arXiv
A ferroelectric memristor
text, January 2012
- Chanthbouala, André; Garcia, Vincent; Cherifi, Ryan O.
- arXiv
Multidomain switching in the ferroelectric nanodots
text, January 2015
- Martelli, Pierre-William; Mefire, Séraphin M.; Luk'yanchuk, Igor
- arXiv
Atomistic treatment of depolarizing energy and field in ferroelectric nanostructures
text, January 2005
- Ponomareva, I.; Naumov, I. I.; Kornev, I.
- arXiv
Works referencing / citing this record:
Landau–Devonshire thermodynamic potentials for displacive perovskite ferroelectrics from first principles
journal, February 2019
- Pitike, Krishna Chaitanya; Khakpash, Nasser; Mangeri, John
- Journal of Materials Science, Vol. 54, Issue 11
Three-dimensional imaging of vortex structure in a ferroelectric nanoparticle driven by an electric field
journal, August 2017
- Karpov, D.; Liu, Z.; Rolo, T. dos Santos
- Nature Communications, Vol. 8, Issue 1
Harnessing ferroelectric domains for negative capacitance
journal, February 2019
- Luk’yanchuk, I.; Tikhonov, Y.; Sené, A.
- Communications Physics, Vol. 2, Issue 1
Domain alignment within ferroelectric/dielectric PbTiO 3 /SrTiO 3 superlattice nanostructures
journal, January 2018
- Park, Joonkyu; Mangeri, John; Zhang, Qingteng
- Nanoscale, Vol. 10, Issue 7
Enhanced second harmonic generation in individual barium titanate nanoparticles driven by Mie resonances
journal, January 2017
- Ma, Churong; Yan, Jiahao; Wei, Yuming
- Journal of Materials Chemistry C, Vol. 5, Issue 19
Magnetostructural correlations in BiFeO 3 -based multiferroics
journal, January 2017
- Khomchenko, V. A.; Karpinsky, D. V.; Paixão, J. A.
- Journal of Materials Chemistry C, Vol. 5, Issue 14
Metastable vortex-like polarization textures in ferroelectric nanoparticles of different shapes and sizes
journal, August 2018
- Pitike, Krishna Chaitanya; Mangeri, John; Whitelock, Hope
- Journal of Applied Physics, Vol. 124, Issue 6
Electromechanical control of polarization vortex ordering in an interacting ferroelectric-dielectric composite dimer
journal, August 2018
- Mangeri, John; Alpay, S. Pamir; Nakhmanson, Serge
- Applied Physics Letters, Vol. 113, Issue 9
Size, shape, and orientation dependence of the field-induced behavior in ferroelectric nanoparticles
journal, April 2019
- Zhu, Daopei; Mangeri, John; Wang, Ruolin
- Journal of Applied Physics, Vol. 125, Issue 13
Magneto-electric interactions in composites of self-biased Y- and W-type hexagonal ferrites and lead zirconate titanate: Experiment and theory
journal, September 2019
- Liu, Ying; Zhang, Jitao; Zhou, Peng
- Journal of Applied Physics, Vol. 126, Issue 11
Displacive phase-field crystal model
journal, January 2020
- Alster, Eli; Elder, K. R.; Voorhees, Peter W.
- Physical Review Materials, Vol. 4, Issue 1
Three-dimensional imaging of vortex structure in a ferroelectric nanoparticle driven by an electric field
text, January 2017
- Karpov, D.; Liu, Z.; Rolo, T. D. S.
- Karlsruhe
Electromechanical control of polarization vortex ordering in an interacting ferroelectric-dielectric composite dimer
text, January 2019
- Mangeri, John; Alpay, S. Pamir; Nakhmanson, Serge
- arXiv
Domain alignment within ferroelectric/dielectric PbTiO$_3$/SrTiO$_3$ superlattice nanostructures
text, January 2020
- Park, J.; Mangeri, J.; Zhang, Q.
- arXiv