Stability of Polar Vortex Lattice in Ferroelectric Superlattices
Abstract
A novel mesoscale state comprising of an ordered polar vortex lattice has been demonstrated in ferroelectric superlattices of PbTiO3/SrTiO3. In this study, we employ phase-field simulations, analytical theory, and experimental observations to evaluate thermodynamic conditions and geometric length scales that are critical for the formation of such exotic vortex states. We show that the stability of these vortex lattices involves an intimate competition between long-range electrostatic, long-range elastic, and short-range polarization gradient-related interactions leading to both an upper and a lower bound to the length scale at which these states can be observed. Finally, we found that the critical length is related to the intrinsic domain wall width, which could serve as a simple intuitive design rule for the discovery of novel ultrafine topological structures in ferroic systems.
- Authors:
-
[1];
[3];
- Pennsylvania State Univ., University Park, PA (United States)
- Univ. of California, Berkeley, CA (United States)
- Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Univ. of St. Andrews, Scotland (United Kingdom)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
- OSTI Identifier:
- 1530284
- Grant/Contract Number:
- AC02-05CH11231; FG02-07ER46417
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nano Letters
- Additional Journal Information:
- Journal Volume: 17; Journal Issue: 4; Journal ID: ISSN 1530-6984
- Publisher:
- American Chemical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Ferroelectric superlattices; ultrafine polar vortex; geometric length scale; phase-field simulations; topological structures by design
Citation Formats
Hong, Zijian, Damodaran, Anoop R., Xue, Fei, Hsu, Shang-Lin, Britson, Jason, Yadav, Ajay K., Nelson, Christopher T., Wang, Jian-Jun, Scott, James F., Martin, Lane W., Ramesh, Ramamoorthy, and Chen, Long-Qing. Stability of Polar Vortex Lattice in Ferroelectric Superlattices. United States: N. p., 2017.
Web. doi:10.1021/acs.nanolett.6b04875.
Hong, Zijian, Damodaran, Anoop R., Xue, Fei, Hsu, Shang-Lin, Britson, Jason, Yadav, Ajay K., Nelson, Christopher T., Wang, Jian-Jun, Scott, James F., Martin, Lane W., Ramesh, Ramamoorthy, & Chen, Long-Qing. Stability of Polar Vortex Lattice in Ferroelectric Superlattices. United States. https://doi.org/10.1021/acs.nanolett.6b04875
Hong, Zijian, Damodaran, Anoop R., Xue, Fei, Hsu, Shang-Lin, Britson, Jason, Yadav, Ajay K., Nelson, Christopher T., Wang, Jian-Jun, Scott, James F., Martin, Lane W., Ramesh, Ramamoorthy, and Chen, Long-Qing. Mon .
"Stability of Polar Vortex Lattice in Ferroelectric Superlattices". United States. https://doi.org/10.1021/acs.nanolett.6b04875. https://www.osti.gov/servlets/purl/1530284.
@article{osti_1530284,
title = {Stability of Polar Vortex Lattice in Ferroelectric Superlattices},
author = {Hong, Zijian and Damodaran, Anoop R. and Xue, Fei and Hsu, Shang-Lin and Britson, Jason and Yadav, Ajay K. and Nelson, Christopher T. and Wang, Jian-Jun and Scott, James F. and Martin, Lane W. and Ramesh, Ramamoorthy and Chen, Long-Qing},
abstractNote = {A novel mesoscale state comprising of an ordered polar vortex lattice has been demonstrated in ferroelectric superlattices of PbTiO3/SrTiO3. In this study, we employ phase-field simulations, analytical theory, and experimental observations to evaluate thermodynamic conditions and geometric length scales that are critical for the formation of such exotic vortex states. We show that the stability of these vortex lattices involves an intimate competition between long-range electrostatic, long-range elastic, and short-range polarization gradient-related interactions leading to both an upper and a lower bound to the length scale at which these states can be observed. Finally, we found that the critical length is related to the intrinsic domain wall width, which could serve as a simple intuitive design rule for the discovery of novel ultrafine topological structures in ferroic systems.},
doi = {10.1021/acs.nanolett.6b04875},
journal = {Nano Letters},
number = 4,
volume = 17,
place = {United States},
year = {Mon Feb 27 00:00:00 EST 2017},
month = {Mon Feb 27 00:00:00 EST 2017}
}
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Works referenced in this record:
New Transport Phenomenon in a Semiconductor "Superlattice"
journal, August 1974
- Esaki, L.; Chang, L. L.
- Physical Review Letters, Vol. 33, Issue 8
On-chip cooling by superlattice-based thin-film thermoelectrics
journal, January 2009
- Chowdhury, Ihtesham; Prasher, Ravi; Lofgreen, Kelly
- Nature Nanotechnology, Vol. 4, Issue 4
Electronic Reconstruction at Superlattice Interfaces
journal, November 2007
- Smadici, Şerban; Abbamonte, Peter; Bhattacharya, Anand
- Physical Review Letters, Vol. 99, Issue 19
Engineering Polarization Rotation in a Ferroelectric Superlattice
journal, October 2012
- Sinsheimer, J.; Callori, S. J.; Bein, B.
- Physical Review Letters, Vol. 109, Issue 16
Strong polarization enhancement in asymmetric three-component ferroelectric superlattices
journal, January 2005
- Lee, Ho Nyung; Christen, Hans M.; Chisholm, Matthew F.
- Nature, Vol. 433, Issue 7024
Tailoring the Properties of Artificially Layered Ferroelectric Superlattices
journal, December 2007
- Dawber, M.; Stucki, N.; Lichtensteiger, C.
- Advanced Materials, Vol. 19, Issue 23
Elastic strain engineering of ferroic oxides
journal, February 2014
- Schlom, Darrell G.; Chen, Long-Qing; Fennie, Craig J.
- MRS Bulletin, Vol. 39, Issue 2
Domain-Enhanced Interlayer Coupling in Ferroelectric/Paraelectric Superlattices
journal, February 2005
- Stephanovich, V. A.; Luk’yanchuk, I. A.; Karkut, M. G.
- Physical Review Letters, Vol. 94, Issue 4
Improper ferroelectricity in perovskite oxide artificial superlattices
journal, April 2008
- Bousquet, Eric; Dawber, Matthew; Stucki, Nicolas
- Nature, Vol. 452, Issue 7188
Structural and energetic properties of domains in PbTiO /SrTiO superlattices from first principles
journal, May 2012
- Aguado-Puente, Pablo; Junquera, Javier
- Physical Review B, Vol. 85, Issue 18
Observation of polar vortices in oxide superlattices
journal, January 2016
- Yadav, A. K.; Nelson, C. T.; Hsu, S. L.
- Nature, Vol. 530, Issue 7589
Observation of a periodic array of flux-closure quadrants in strained ferroelectric PbTiO3 films
journal, April 2015
- Tang, Y. L.; Zhu, Y. L.; Ma, X. L.
- Science, Vol. 348, Issue 6234
Scale effects and the formation of polarization vortices in tetragonal ferroelectrics
journal, March 2015
- Balakrishna, Ananya Renuka; Huber, John E.
- Applied Physics Letters, Vol. 106, Issue 9
Original properties of dipole vortices in zero-dimensional ferroelectrics
journal, April 2008
- Prosandeev, S.; Ponomareva, I.; Naumov, I.
- Journal of Physics: Condensed Matter, Vol. 20, Issue 19
Unusual phase transitions in ferroelectric nanodisks and nanorods
journal, December 2004
- Naumov, Ivan I.; Bellaiche, L.; Fu, Huaxiang
- Nature, Vol. 432, Issue 7018
Ferromagneticlike Closure Domains in Ferroelectric Ultrathin Films: First-Principles Simulations
journal, April 2008
- Aguado-Puente, Pablo; Junquera, Javier
- Physical Review Letters, Vol. 100, Issue 17
Vortex Polarization States in Nanoscale Ferroelectric Arrays
journal, March 2009
- Rodriguez, B. J.; Gao, X. S.; Liu, L. F.
- Nano Letters, Vol. 9, Issue 3
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
Exotic Domain States in Ferroelectrics: Searching for Vortices and Skyrmions
journal, January 2012
- Gregg, J. M.
- Ferroelectrics, Vol. 433, Issue 1
Switching mechanism of polarization vortex in single-crystal ferroelectric nanodots
journal, November 2010
- Wang, Jie
- Applied Physics Letters, Vol. 97, Issue 19
Vortex Domain Structure in Ferroelectric Nanoplatelets and Control of its Transformation by Mechanical Load
journal, November 2012
- Chen, W. J.; Zheng, Yue; Wang, Biao
- Scientific Reports, Vol. 2, Issue 1
Phase field simulations of stress controlling the vortex domain structures in ferroelectric nanosheets
journal, February 2012
- Chen, W. J.; Zheng, Yue; Wang, Biao
- Applied Physics Letters, Vol. 100, Issue 6
Intrinsic switching of polarization vortex in ferroelectric nanotubes
journal, July 2009
- Wang, Jie; Kamlah, Marc
- Physical Review B, Vol. 80, Issue 1
Interplay of Couplings between Antiferrodistortive, Ferroelectric, and Strain Degrees of Freedom in Monodomain Superlattices
journal, November 2011
- Aguado-Puente, Pablo; García-Fernández, Pablo; Junquera, Javier
- Physical Review Letters, Vol. 107, Issue 21
Effect of substrate constraint on the stability and evolution of ferroelectric domain structures in thin films
journal, January 2002
- Li, Y. L.; Hu, S. Y.; Liu, Z. K.
- Acta Materialia, Vol. 50, Issue 2
Phase-Field Method of Phase Transitions/Domain Structures in Ferroelectric Thin Films: A Review
journal, June 2008
- Chen, Long-Qing
- Journal of the American Ceramic Society, Vol. 91, Issue 6
Local 90° switching in Pb(Zr0.2Ti0.8)O3 thin film: Phase-field modeling
journal, July 2014
- Hong, Zijian; Britson, Jason; Hu, Jia-Mian
- Acta Materialia, Vol. 73
Controllability of Vortex Domain Structure in Ferroelectric Nanodot: Fruitful Domain Patterns and Transformation Paths
journal, February 2014
- Wu, C. M.; Chen, W. J.; Zheng, Yue
- Scientific Reports, Vol. 4, Issue 1
Structural evidence for enhanced polarization in a commensurate short-period BaTiO3∕SrTiO3 superlattice
journal, August 2006
- Tian, W.; Jiang, J. C.; Pan, X. Q.
- Applied Physics Letters, Vol. 89, Issue 9
Dipole spring ferroelectrics in superlattice SrTiO 3 /BaTiO 3 thin films exhibiting constricted hysteresis loops
journal, February 2012
- Wu, Pingping; Ma, Xingqiao; Li, Yulan
- Applied Physics Letters, Vol. 100, Issue 9
Piezoelectric enhancement of ferroelectric superlattices through domain engineering
journal, November 2014
- Hong, Liang; Wu, Pingping; Li, Yulan
- Physical Review B, Vol. 90, Issue 17
Phase transitions and domain structures of ferroelectric nanoparticles: Phase field model incorporating strong elastic and dielectric inhomogeneity
journal, December 2013
- Wang, J. J.; Ma, X. Q.; Li, Q.
- Acta Materialia, Vol. 61, Issue 20
Thermodynamic theory of PbTiO 3
journal, October 1987
- Haun, M. J.; Furman, E.; Jang, S. J.
- Journal of Applied Physics, Vol. 62, Issue 8
A modified Landau–Devonshire thermodynamic potential for strontium titanate
journal, June 2010
- Sheng, G.; Li, Y. L.; Zhang, J. X.
- Applied Physics Letters, Vol. 96, Issue 23
Effect of “symmetry mismatch” on the domain structure of rhombohedral BiFeO 3 thin films
journal, May 2014
- Chen, Z. H.; Damodaran, A. R.; Xu, R.
- Applied Physics Letters, Vol. 104, Issue 18
Properties of rare-earth scandate single crystals (Re=Nd−Dy)
journal, May 2008
- Uecker, R.; Velickov, B.; Klimm, D.
- Journal of Crystal Growth, Vol. 310, Issue 10
Landau Expansion for Ferroelectrics: Which Variable to Use?
journal, December 2008
- Tagantsev, Alexander K.
- Ferroelectrics, Vol. 375, Issue 1
Flux Closure Vortexlike Domain Structures in Ferroelectric Thin Films
journal, May 2010
- Ivry, Y.; Chu, D. P.; Scott, J. F.
- Physical Review Letters, Vol. 104, Issue 20
Direct Observation of Continuous Electric Dipole Rotation in Flux-Closure Domains in Ferroelectric Pb(Zr,Ti)O3
journal, March 2011
- Jia, C. -L.; Urban, K. W.; Alexe, M.
- Science, Vol. 331, Issue 6023
Spontaneous Vortex Nanodomain Arrays at Ferroelectric Heterointerfaces
journal, February 2011
- Nelson, Christopher T.; Winchester, Benjamin; Zhang, Yi
- Nano Letters, Vol. 11, Issue 2
Universal Properties of Ferroelectric Domains
journal, April 2009
- Luk’yanchuk, Igor A.; Lahoche, Laurent; Sené, Anaïs
- Physical Review Letters, Vol. 102, Issue 14
Strong influence of non-ideality of electrodes on stability of single domain state in ferroelectric-paraelectric superlattices
journal, January 2016
- Levanyuk, A. P.; Misirlioglu, I. B.
- Journal of Applied Physics, Vol. 119, Issue 2
Phenomenological thermodynamic potential for CaTiO single crystals
journal, February 2012
- Gu, Yijia; Rabe, Karin; Bousquet, Eric
- Physical Review B, Vol. 85, Issue 6
Domain structures of ferroelectric films under different electrical boundary conditions
journal, October 2015
- Zhou, Z. D.; Wu, D. Y.
- AIP Advances, Vol. 5, Issue 10
Closed-circuit domain quadruplets in BaTiO nanorods embedded in a SrTiO film
journal, February 2014
- Stepkova, V.; Marton, P.; Setter, N.
- Physical Review B, Vol. 89, Issue 6
Electronic Properties of Electrical Vortices in Ferroelectric Nanocomposites from Large-Scale Ab Initio Computations
journal, April 2015
- Gui, Zhigang; Wang, Lin-Wang; Bellaiche, L.
- Nano Letters, Vol. 15, Issue 5
Domain walls of ferroelectric within the Ginzburg-Landau-Devonshire phenomenological model
journal, April 2010
- Marton, P.; Rychetsky, I.; Hlinka, J.
- Physical Review B, Vol. 81, Issue 14
Prediction of the Magnetotoroidic Effect from Atomistic Simulations
journal, September 2011
- Ren, Wei; Bellaiche, L.
- Physical Review Letters, Vol. 107, Issue 12
Domain Wall Energies and Structures: A Combined Experimental and Density Functional Study
journal, June 2013
- Wang, Yi; Nelson, Chris; Melville, Alexander
- Physical Review Letters, Vol. 110, Issue 26
High-Symmetry Polarization Domains in Low-Symmetry Ferroelectrics
journal, November 2014
- Lukyanchuk, I.; Sharma, P.; Nakajima, T.
- Nano Letters, Vol. 14, Issue 12
Film thickness versus misfit strain phase diagrams for epitaxial ultrathin ferroelectric films
journal, August 2008
- Qiu, Q. Y.; Nagarajan, V.; Alpay, S. P.
- Physical Review B, Vol. 78, Issue 6
Emergence of room-temperature ferroelectricity at reduced dimensions
journal, September 2015
- Lee, D.; Lu, H.; Gu, Y.
- Science, Vol. 349, Issue 6254
Polarization curling and flux closures in multiferroic tunnel junctions
journal, November 2016
- Peters, Jonathan J. P.; Apachitei, Geanina; Beanland, Richard
- Nature Communications, Vol. 7, Issue 1
Works referencing / citing this record:
Spatially resolved steady-state negative capacitance
journal, January 2019
- Yadav, Ajay K.; Nguyen, Kayla X.; Hong, Zijian
- Nature, Vol. 565, Issue 7740
Manipulating topological transformations of polar structures through real-time observation of the dynamic polarization evolution
journal, October 2019
- Du, K.; Zhang, M.; Dai, C.
- Nature Communications, Vol. 10, Issue 1
Torsion-induced vortex switching and skyrmion-like state in ferroelectric nanodisks
journal, October 2018
- Yuan, Shuai; Chen, Weijin; Liu, Jianyi
- Journal of Physics: Condensed Matter, Vol. 30, Issue 46
Electronic Reconstructions in the Transition Metal–Free Heterostructures: LaAlO3/SrGeO3
journal, November 2019
- Li, Meiyu; Gu, Xiao
- Journal of Superconductivity and Novel Magnetism, Vol. 33, Issue 1
Optical creation of a supercrystal with three-dimensional nanoscale periodicity
journal, March 2019
- Stoica, V. A.; Laanait, N.; Dai, C.
- Nature Materials, Vol. 18, Issue 4
Three-dimensional polarization vortex configuration evolution in compressed BaTiO 3 /SrTiO 3 superlattice
journal, December 2019
- Peng, Di; Yang, Xinhua; Jiang, Wenkai
- Journal of Applied Physics, Vol. 126, Issue 24
Observation of room-temperature polar skyrmions
journal, April 2019
- Das, S.; Tang, Y. L.; Hong, Z.
- Nature, Vol. 568, Issue 7752
Configurable topological textures in strain graded ferroelectric nanoplates
journal, January 2018
- Kim, Kwang-Eun; Jeong, Seuri; Chu, Kanghyun
- Nature Communications, Vol. 9, Issue 1
Quantification of flexoelectricity in PbTiO3/SrTiO3 superlattice polar vortices using machine learning and phase-field modeling
journal, November 2017
- Li, Q.; Nelson, C. T.; Hsu, S. -L.
- Nature Communications, Vol. 8, Issue 1
Phase coexistence and electric-field control of toroidal order in oxide superlattices
journal, August 2017
- Damodaran, A. R.; Clarkson, J. D.; Hong, Z.
- Nature Materials, Vol. 16, Issue 10
Rotational polarization nanotopologies in BaTiO 3 /SrTiO 3 superlattices
journal, January 2019
- Estandía, Saúl; Sánchez, Florencio; Chisholm, Matthew F.
- Nanoscale, Vol. 11, Issue 44
On the correlation between topological defects of polarization field and Euler characteristics of ferroelectric nanostructures
journal, January 2019
- Van Lich, Le; Ton, Quang-Thang; Nguyen, Trong-Giang
- Applied Physics Letters, Vol. 114, Issue 2
Creating emergent phenomena in oxide superlattices
journal, March 2019
- Ramesh, Ramamoorthy; Schlom, Darrell G.
- Nature Reviews Materials
Subunit cell–level measurement of polarization in an individual polar vortex
journal, November 2019
- Sun, Yuanwei; Abid, Adeel Y.; Tan, Congbing
- Science Advances, Vol. 5, Issue 11
Crossover of polar and toroidal orders in ferroelectric nanodots with a morphotropic phase boundary and nonvolatile polar-vortex transformations
journal, July 2019
- Ji, Ye; Chen, W. J.; Zheng, Yue
- Physical Review B, Vol. 100, Issue 1
Electric-Field-Driven Nanosecond Ferroelastic-Domain Switching Dynamics in Epitaxial Film
journal, November 2019
- Lee, Hyeon Jun; Shimizu, Takao; Funakubo, Hiroshi
- Physical Review Letters, Vol. 123, Issue 21
Significant enhancement of energy storage density and polarization in self-assembled PbZrO 3 : NiO nano-columnar composite films
journal, January 2019
- Chen, M. J.; Ning, X. K.; Wang, S. F.
- Nanoscale, Vol. 11, Issue 4
Studies of Multiferroic Palladium Perovskites
journal, February 2019
- Pradhan, Dhiren K.; Mishra, Ajay K.; Kumari, Shalini
- Scientific Reports, Vol. 9, Issue 1
Periodicity-Doubling Cascades: Direct Observation in Ferroelastic Materials
journal, August 2019
- Everhardt, Arnoud S.; Damerio, Silvia; Zorn, Jacob A.
- Physical Review Letters, Vol. 123, Issue 8
Emergence of the Vortex State in Confined Ferroelectric Heterostructures
journal, June 2019
- Hsu, Shang‐Lin; McCarter, Margaret R.; Dai, Cheng
- Advanced Materials, Vol. 31, Issue 36
Periodicity-Doubling Cascades: Direct Observation in Ferroelastic Materials.
text, January 2019
- Everhardt, Arnoud S.; Damerio, Silvia; Zorn, Jacob A.
- Apollo - University of Cambridge Repository
Studies of Multiferroic Palladium Perovskites
text, January 2019
- Pradhan, Dhiren K.; Mishra, Ajay K.; Kumari, Shalini
- ETH Zurich
Rotational polarization nanotopologies in BaTiO3/SrTiO3 superlattices
text, January 2019
- Estandia, Saul; Sanchez, Florencio; Chisholm, Matthew F.
- arXiv
Configurable topological textures in strain graded ferroelectric nanoplates
journal, January 2018
- Kim, Kwang-Eun; Jeong, Seuri; Chu, Kanghyun
- Nature Communications, Vol. 9, Issue 1
Manipulating topological transformations of polar structures through real-time observation of the dynamic polarization evolution
journal, October 2019
- Du, K.; Zhang, M.; Dai, C.
- Nature Communications, Vol. 10, Issue 1
Studies of Multiferroic Palladium Perovskites
journal, February 2019
- Pradhan, Dhiren K.; Mishra, Ajay K.; Kumari, Shalini
- Scientific Reports, Vol. 9, Issue 1