Periodicity-Doubling Cascades: Direct Observation in Ferroelastic Materials

Arnoud S. Everhardt, Silvia Damerio, Jacob A. Zorn, Silang Zhou, Neus Domingo, Gustau Catalan, Ekhard K.H. Salje, Long Qing Chen, Beatriz Noheda

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31 Scopus citations

Abstract

Very sensitive responses to external forces are found near phase transitions. However, transition dynamics and preequilibrium phenomena are difficult to detect and control. We have observed that the equilibrium domain structure following a phase transition in ferroelectric and ferroelastic BaTiO3 is attained by halving of the domain periodicity multiple times. The process is reversible, with periodicity doubling as temperature is increased. This observation is reminiscent of the period-doubling cascades generally observed during bifurcation phenomena, and, thus, it conforms to the "spatial chaos" regime earlier proposed by Jensen and Bak [Phys. Scr. T 9, 64 (1985)PHSTER0281-184710.1088/0031-8949/1985/T9/009] for systems with competing spatial modulations.

Original languageEnglish
Article number087603
JournalPhysical Review Letters
Volume123
Issue number8
DOIs
StatePublished - Aug 22 2019
Externally publishedYes

Funding

The authors are grateful to Janusz Przeslawski, Marty Gregg, Jim Scott, and Yachin Yvry for the useful discussions. A.-S.-E., S.-D., and B.-N. acknowledge financial support from the alumni organization of the University of Groningen, De Aduarderking (Ubbo Emmius Fonds). Parts of this research were carried out at the light source Petra III at DESY, a member of the Helmholtz Association (HGF). G.-C. and N.-D. acknowledge Projects No. FIS2015-73932-JIN and No. MAT2016-77100-C2-1-P from the Spanish MINECO and Project No. 2017-SGR-579 from the Generalitat de Catalunya. All work at ICN2 is also supported by the Severo Ochoa Program (Grant No. SEV-2017-0706). The work at Penn State is supported by the U.S. Department of Energy, Office of Basic Energy Sciences, Division of Materials Sciences and Engineering, under Award No. FG02-07ER46417 (J.-A.-Z. and L.-Q.-C.) and, partially, by a graduate fellowship from the 3M Company (J.-A.-Z.). The authors are grateful to Janusz Przeslawski, Marty Gregg, Jim Scott, and Yachin Yvry for the useful discussions. A. S. E., S. D., and B. N. acknowledge financial support from the alumni organization of the University of Groningen, De Aduarderking (Ubbo Emmius Fonds). Parts of this research were carried out at the light source Petra III at DESY, a member of the Helmholtz Association (HGF). G. C. and N. D. acknowledge Projects No. FIS2015-73932-JIN and No. MAT2016-77100-C2-1-P from the Spanish MINECO and Project No. 2017-SGR-579 from the Generalitat de Catalunya. All work at ICN2 is also supported by the Severo Ochoa Program (Grant No. SEV-2017-0706). The work at Penn State is supported by the U.S. Department of Energy, Office of Basic Energy Sciences, Division of Materials Sciences and Engineering, under Award No. FG02-07ER46417 (J. A. Z. and L.-Q. C.) and, partially, by a graduate fellowship from the 3M Company (J. A. Z.).

FundersFunder number
Office of Basic Energy Sciences
Severo Ochoa ProgramSEV-2017-0706
U.S. Department of Energy
Human Growth Foundation
3M
Basic Energy Sciences
Division of Materials Sciences and EngineeringFG02-07ER46417
Engineering and Physical Sciences Research CouncilEP/P024904/1
Rijksuniversiteit GroningenFIS2015-73932-JIN, MAT2016-77100-C2-1-P
Generalitat de Catalunya
Ministerio de Economía y Competitividad2017-SGR-579
Helmholtz Association

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