Emergence of the Vortex State in Confined Ferroelectric Heterostructures
Abstract
The manipulation of charge and lattice degrees of freedom in atomically precise, low-dimensional ferroelectric superlattices can lead to exotic polar structures, such as a vortex state. The role of interfaces in the evolution of the vortex state in these superlattices (and the associated electrostatic and elastic boundary conditions they produce) has remained unclear. Here, the toroidal state, arranged in arrays of alternating clockwise/counterclockwise polar vortices, in a confined SrTiO$$_3$$/PbTiO$$_3$$/SrTiO$$_3$$ trilayer is investigated. By utilizing a combination of transmission electron microscopy, synchrotron-based X-ray diffraction, and phase-field modeling, the phase transition as a function of layer thickness (number of unit cells) demonstrates how the vortex state emerges from the ferroelectric state by varying the thickness of the confined PbTiO$$_3$$ layer. Intriguingly, the vortex state arises at head-to-head domain boundaries in ferroelectric α$$_1$$/α$$_2$$ twin structures. In turn, by varying the total number of PbTiO$$_3$$ layers (moving from trilayer to superlattices), it is possible to manipulate the long-range interactions among multiple confined PbTiO$$_3$$ layers to stabilize the vortex state. Finally, this work provides a new understanding of how the different energies work together to produce this exciting new state of matter and can contribute to the design of novel states and potential memory applications.
- Authors:
-
- Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Univ. of California, Berkeley, CA (United States)
- Pennsylvania State Univ., University Park, PA (United States)
- Carnegie Mellon Univ., Pittsburgh, PA (United States)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); Gordon and Betty Moore Foundation (GBMF)
- OSTI Identifier:
- 1633242
- Alternate Identifier(s):
- OSTI ID: 1543168
- Grant/Contract Number:
- AC02-05CH11231; AC02-06CH11357; FG02-07ER46417; DGE-1106400; DMR-1420620; DMR-1210588; GBMF5307; AC02‐06CH11357; FG02‐07ER46417
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Advanced Materials
- Additional Journal Information:
- Journal Volume: 31; Journal Issue: 36; Journal ID: ISSN 0935-9648
- Publisher:
- Wiley
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE
Citation Formats
Hsu, Shang‐Lin, McCarter, Margaret R., Dai, Cheng, Hong, Zijian, Chen, Long‐Qing, Nelson, Christopher T., Martin, Lane W., and Ramesh, Ramamoorthy. Emergence of the Vortex State in Confined Ferroelectric Heterostructures. United States: N. p., 2019.
Web. doi:10.1002/adma.201901014.
Hsu, Shang‐Lin, McCarter, Margaret R., Dai, Cheng, Hong, Zijian, Chen, Long‐Qing, Nelson, Christopher T., Martin, Lane W., & Ramesh, Ramamoorthy. Emergence of the Vortex State in Confined Ferroelectric Heterostructures. United States. https://doi.org/10.1002/adma.201901014
Hsu, Shang‐Lin, McCarter, Margaret R., Dai, Cheng, Hong, Zijian, Chen, Long‐Qing, Nelson, Christopher T., Martin, Lane W., and Ramesh, Ramamoorthy. Fri .
"Emergence of the Vortex State in Confined Ferroelectric Heterostructures". United States. https://doi.org/10.1002/adma.201901014. https://www.osti.gov/servlets/purl/1633242.
@article{osti_1633242,
title = {Emergence of the Vortex State in Confined Ferroelectric Heterostructures},
author = {Hsu, Shang‐Lin and McCarter, Margaret R. and Dai, Cheng and Hong, Zijian and Chen, Long‐Qing and Nelson, Christopher T. and Martin, Lane W. and Ramesh, Ramamoorthy},
abstractNote = {The manipulation of charge and lattice degrees of freedom in atomically precise, low-dimensional ferroelectric superlattices can lead to exotic polar structures, such as a vortex state. The role of interfaces in the evolution of the vortex state in these superlattices (and the associated electrostatic and elastic boundary conditions they produce) has remained unclear. Here, the toroidal state, arranged in arrays of alternating clockwise/counterclockwise polar vortices, in a confined SrTiO$_3$/PbTiO$_3$/SrTiO$_3$ trilayer is investigated. By utilizing a combination of transmission electron microscopy, synchrotron-based X-ray diffraction, and phase-field modeling, the phase transition as a function of layer thickness (number of unit cells) demonstrates how the vortex state emerges from the ferroelectric state by varying the thickness of the confined PbTiO$_3$ layer. Intriguingly, the vortex state arises at head-to-head domain boundaries in ferroelectric α$_1$/α$_2$ twin structures. In turn, by varying the total number of PbTiO$_3$ layers (moving from trilayer to superlattices), it is possible to manipulate the long-range interactions among multiple confined PbTiO$_3$ layers to stabilize the vortex state. Finally, this work provides a new understanding of how the different energies work together to produce this exciting new state of matter and can contribute to the design of novel states and potential memory applications.},
doi = {10.1002/adma.201901014},
journal = {Advanced Materials},
number = 36,
volume = 31,
place = {United States},
year = {Fri Jul 19 00:00:00 EDT 2019},
month = {Fri Jul 19 00:00:00 EDT 2019}
}
Web of Science
Works referenced in this record:
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
Effect of electrical boundary conditions on ferroelectric domain structures in thin films
journal, July 2002
- Li, Y. L.; Hu, S. Y.; Liu, Z. K.
- Applied Physics Letters, Vol. 81, Issue 3
Spontaneous Vortex Nanodomain Arrays at Ferroelectric Heterointerfaces
journal, February 2011
- Nelson, Christopher T.; Winchester, Benjamin; Zhang, Yi
- Nano Letters, Vol. 11, Issue 2
Unusual phase transitions in ferroelectric nanodisks and nanorods
journal, December 2004
- Naumov, Ivan I.; Bellaiche, L.; Fu, Huaxiang
- Nature, Vol. 432, Issue 7018
Thermodynamic theory of PbTiO 3
journal, October 1987
- Haun, M. J.; Furman, E.; Jang, S. J.
- Journal of Applied Physics, Vol. 62, Issue 8
Current-driven dynamics of chiral ferromagnetic domain walls
journal, June 2013
- Emori, Satoru; Bauer, Uwe; Ahn, Sung-Min
- Nature Materials, Vol. 12, Issue 7
Improper ferroelectricity in perovskite oxide artificial superlattices
journal, April 2008
- Bousquet, Eric; Dawber, Matthew; Stucki, Nicolas
- Nature, Vol. 452, Issue 7188
Skyrmions on the track
journal, March 2013
- Fert, Albert; Cros, Vincent; Sampaio, João
- Nature Nanotechnology, Vol. 8, Issue 3
Symmetry breaking in the formation of magnetic vortex states in a permalloy nanodisk
journal, January 2012
- Im, Mi-Young; Fischer, Peter; Yamada, Keisuke
- Nature Communications, Vol. 3, Issue 1
Observation of polar vortices in oxide superlattices
journal, January 2016
- Yadav, A. K.; Nelson, C. T.; Hsu, S. L.
- Nature, Vol. 530, Issue 7589
Phase field simulations of ferroelectrics domain structures in PbZrxTi1−xO3 bilayers
journal, May 2013
- Xue, F.; Wang, J. J.; Sheng, G.
- Acta Materialia, Vol. 61, Issue 8
Phase-locking of magnetic vortices mediated by antivortices
journal, June 2009
- Ruotolo, A.; Cros, V.; Georges, B.
- Nature Nanotechnology, Vol. 4, Issue 8
Nanoscale magnetic skyrmions in metallic films and multilayers: a new twist for spintronics
journal, June 2016
- Wiesendanger, Roland
- Nature Reviews Materials, Vol. 1, Issue 7
A way forward along domain walls
journal, March 2009
- Béa, Hélène; Paruch, Patrycja
- Nature Materials, Vol. 8, Issue 3
Electrostatic Coupling and Local Structural Distortions at Interfaces in Ferroelectric/Paraelectric Superlattices
journal, May 2012
- Zubko, P.; Jecklin, N.; Torres-Pardo, A.
- Nano Letters, Vol. 12, Issue 6
Stability of Polar Vortex Lattice in Ferroelectric Superlattices
journal, March 2017
- Hong, Zijian; Damodaran, Anoop R.; Xue, Fei
- Nano Letters, Vol. 17, Issue 4
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
Topological domain walls in helimagnets
journal, March 2018
- Schoenherr, P.; Müller, J.; Köhler, L.
- Nature Physics, Vol. 14, Issue 5
Direct Observation of Internal Spin Structure of Magnetic Vortex Cores
journal, October 2002
- Wachowiak, A.
- Science, Vol. 298, Issue 5593
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
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
Domain wall nanoelectronics
journal, February 2012
- Catalan, G.; Seidel, J.; Ramesh, R.
- Reviews of Modern Physics, Vol. 84, Issue 1
Observation of Bloch-point domain walls in cylindrical magnetic nanowires
journal, May 2014
- Da Col, S.; Jamet, S.; Rougemaille, N.
- Physical Review B, Vol. 89, Issue 18
Emergent chirality in the electric polarization texture of titanate superlattices
journal, January 2018
- Shafer, Padraic; García-Fernández, Pablo; Aguado-Puente, Pablo
- Proceedings of the National Academy of Sciences, Vol. 115, Issue 5
Emergent phenomena induced by spin–orbit coupling at surfaces and interfaces
journal, November 2016
- Soumyanarayanan, Anjan; Reyren, Nicolas; Fert, Albert
- Nature, Vol. 539, Issue 7630
Applications of semi-implicit Fourier-spectral method to phase field equations
journal, February 1998
- Chen, L. Q.; Shen, Jie
- Computer Physics Communications, Vol. 108, Issue 2-3
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
Three-dimensional nanomagnetism
journal, June 2017
- Fernández-Pacheco, Amalio; Streubel, Robert; Fruchart, Olivier
- Nature Communications, Vol. 8, Issue 1
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
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
Magnetic Vortex Core Observation in Circular Dots of Permalloy
journal, August 2000
- Shinjo, T.
- Science, Vol. 289, Issue 5481
Anisotropic elasticity of DyScO 3 substrates
journal, September 2012
- Janovská, Michaela; Sedlák, Petr; Seiner, Hanuš
- Journal of Physics: Condensed Matter, Vol. 24, Issue 38
Enhanced electric conductivity at ferroelectric vortex cores in BiFeO3
journal, November 2011
- Balke, Nina; Winchester, Benjamin; Ren, Wei
- Nature Physics, Vol. 8, Issue 1
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
Unusual Phase Transitions in Ferroelectric Nanodisks and Nanorods
journal, March 2005
- Naumov, Ivan I.; Bellaiche, L.; Fu, Huaxiang
- ChemInform, Vol. 36, Issue 9
Magnetoelectric coupling of domains, domain walls and vortices in a multiferroic with independent magnetic and electric order
journal, May 2021
- Giraldo, Marcela; Meier, Quintin N.; Bortis, Amadé
- Nature Communications, Vol. 12, Issue 1
Three-dimensional nanomagnetism
text, January 2017
- Fernández-Pacheco, A.; Streubel, R.; Fruchart, O.
- Apollo - University of Cambridge Repository
Current-driven dynamics of chiral ferromagnetic domain walls
text, January 2013
- Emori, Satoru; Bauer, Uwe; Ahn, Sung-Min
- arXiv
Observation of Bloch-point domain walls in cylindrical magnetic nanowires
text, January 2013
- Da Col, Sandrine; Jamet, Segolene; Rougemaille, Nicolas
- arXiv
Works referencing / citing this record:
Giant Uniaxial Strain Ferroelectric Domain Tuning in Freestanding PbTiO 3 Films
journal, April 2020
- Han, Lu; Fang, Yanhan; Zhao, Yunqi
- Advanced Materials Interfaces, Vol. 7, Issue 7
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