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Topological defects and ferroelastic twins in ferroelectric nanocrystals: What coherent X-rays can reveal about them

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Abstract

Topological defects (TDs) are at the heart of many intriguing phenomena in fields as diverse as biology and materials science. Emergent functionalities emanating from topological defects—such as the ability of domain walls to host itinerant electrons—make them potential hosts for charge conductivity, as well as superconductivity, as measured in twinned crystals of WO3. Thus, ferroelastic domains and domain boundaries are intriguing objects of study in fundamental and applied sciences. Here, we utilized Bragg coherent diffractive imaging (BCDI) to capture ferroelastic twins in an individual BaFe12O19 nanocrystal. BCDI is a lens-less diffractive imaging technique that relies on coherent properties of X-ray beams to resolve deformation fields in individual nanocrystals from measured coherent diffraction pattern. Here, we reconstruct the morphology and displacement field of (200) planes. Our reconstructions identify ferroelastic domains with homogenous displacement fields separated by domain boundaries. The efficacy of BCDI in studying TDs in three dimensions is demonstrated.

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The data are available both at the Advanced Photon Source and upon request from the corresponding author.

References

  1. Z. Tan, Y. Peng, J. An, Q. Zhang, J. Zhu, Critical role of order-disorder behavior in perovskite ferroelectric KNbO3. Inorg. Chem. 60, 7961 (2021)

    Article  CAS  Google Scholar 

  2. C. Wang, J. Wu, Z. Zeng, J. Embs, Y. Pei, J. Ma, Y. Chen, Soft-mode dynamics in the ferroelectric phase transition of GeTe. npj Comput. Mater. 7, 118 (2021)

    Article  CAS  Google Scholar 

  3. D. Karpov, Z. Liu, A. Kumar, B. Kiefer, R. Harder, T. Lookman, E. Fohtung, Nanoscale topological defects and improper ferroelectric domains in multiferroic barium hexaferrite nanocrystals. Phys. Rev. B 100, 54432 (2019)

    Article  CAS  Google Scholar 

  4. M. Acosta, N. Novak, V. Rojas, S. Patel, R. Vaish, J. Koruza, G.A. Rossetti, J. Rödel, BaTiO3-based piezoelectrics: fundamentals, current status, and perspectives. Appl. Phys. Rev. 4, 041305 (2017)

    Article  Google Scholar 

  5. J. Diao et al., Evolution of ferroelastic domain walls during phase transitions in barium titanate nanoparticles. Physical. Rev. Mater. 4, 106001 (2020)

    Article  CAS  Google Scholar 

  6. J. Miao, P. Charalambous, J. Kirz, D. Sayre, Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens. Nature 400, 342 (1999)

    Article  CAS  Google Scholar 

  7. D. Sayre, Some implications of a theorem due to Shannon. Acta Crystallogr. A 5, 843 (1952)

    Article  Google Scholar 

  8. X. Shi, R. Harder, Z. Liu, O. Shpyrko, E. Fullerton, B. Kiefer, E. Fohtung, Nanoscale mapping of heterogeneous strain and defects in individual magnetic nanocrystals. Crystals (Basel) 10, 658 (2020)

    Article  CAS  Google Scholar 

  9. D. Karpov, Z. Liu, T. dos Santos Rolo, R. Harder, P.V. Balachandran, D. Xue, T. Lookman, E. Fohtung, Three-dimensional imaging of vortex structure in a ferroelectric nanoparticle driven by an electric field. Nat. Commun. 8, 280 (2017)

    Article  CAS  Google Scholar 

  10. S. Yun, K. Song, K. Chu, S.-Y. Hwang, G.-Y. Kim, J. Seo, C.-S. Woo, S.-Y. Choi, C.-H. Yang, Flexopiezoelectricity at ferroelastic domain walls in WO3 films. Nat. Commun. 11, 4898 (2020)

    Article  CAS  Google Scholar 

  11. S. Yun et al., Ferroelastic twin structures in epitaxial WO3 thin films. Appl. Phys. Lett. 107, 252904 (2015)

    Article  Google Scholar 

  12. M.A.G. Aranda, F. Berenguer, R.J. Bean, X. Shi, G. Xiong, S.P. Collins, C. Nave, I.K. Robinson, Coherent X-ray diffraction investigation of twinned microcrystals. J. Synchrotron Radiat. 17, 751 (2010)

    Article  CAS  Google Scholar 

  13. U. von Luxburg, A tutorial on spectral clustering. Stat. Comput. 17, 395 (2007)

    Article  Google Scholar 

  14. L. Ma, P.F. Rottmann, K. Xie, K.J. Hemker, Nano-scale elastic strain maps of twins in magnesium alloys. Microsc. Microanal. 24, 970 (2018)

    Article  Google Scholar 

  15. M.C. Newton, S.J. Leake, R. Harder, I.K. Robinson, Three-dimensional imaging of strain in a single ZnO nanorod. Nat. Mater. 9, 120 (2010)

    Article  CAS  Google Scholar 

  16. S. Marchesini, H. Chapman, A. Barty, C. Cui, M. Howells, J. Spence, U. Weierstall, A. Minor, Phase aberrations in diffraction microscopy. https://arxiv.org/abs/physics/0510033 (2005)

  17. H.N. Chapman et al., High-resolution ab initio three-dimensional X-ray diffraction microscopy. J. Opt. Soc. Am. A 23, 1179 (2006)

    Article  Google Scholar 

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Acknowledgments

This work was supported by the US Department of Energy (DOE) Office of Science under award No. DE-SC0023148. This research used resources of the Advanced Photon Source (APS), a US Department of Energy (DOE) Office of Science User Facility operated for the DOE Office of Science by Argonne National Laboratory (ANL) under contract No. DE-AC02-06CH11357. The Bragg coherent Diffraction Experiments were carried out at the Advanced photon source. Raw data were measured at the Advanced Photon Source Sector 34-ID-C and are permanently deposited there. The data supporting the findings of this study are available from the corresponding author upon request. We thank the staff at ANL and the APS for their support.

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Correspondence to Edwin Fohtung.

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Shi, X., Nazirkar, N.P., Barringer, Z. et al. Topological defects and ferroelastic twins in ferroelectric nanocrystals: What coherent X-rays can reveal about them. MRS Advances 7, 899–904 (2022). https://doi.org/10.1557/s43580-022-00352-w

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