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Stoica VA, Laanait N, Dai C, Hong Z, Yuan Y, Zhang Z, Lei S, McCarter MR, Yadav A, Damodaran AR, Das S, Stone GA, Karapetrova J, Walko DA, Zhang X, Martin LW, Ramesh R, Chen LQ, Wen H, Gopalan V, Freeland JW. Optical creation of a supercrystal with three-dimensional nanoscale periodicity. Nat Mater 2019; 18:377-383. [PMID: 30886403 DOI: 10.1038/s41563-019-0311-x] [Citation(s) in RCA: 48] [Impact Index Per Article: 9.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/15/2018] [Accepted: 02/04/2019] [Indexed: 06/09/2023]
Abstract
Stimulation with ultrafast light pulses can realize and manipulate states of matter with emergent structural, electronic and magnetic phenomena. However, these non-equilibrium phases are often transient and the challenge is to stabilize them as persistent states. Here, we show that atomic-scale PbTiO3/SrTiO3 superlattices, counterpoising strain and polarization states in alternate layers, are converted by sub-picosecond optical pulses to a supercrystal phase. This phase persists indefinitely under ambient conditions, has not been created via equilibrium routes, and can be erased by heating. X-ray scattering and microscopy show this unusual phase consists of a coherent three-dimensional structure with polar, strain and charge-ordering periodicities of up to 30 nm. By adjusting only dielectric properties, the phase-field model describes this emergent phase as a photo-induced charge-stabilized supercrystal formed from a two-phase equilibrium state. Our results demonstrate opportunities for light-activated pathways to thermally inaccessible and emergent metastable states.
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Affiliation(s)
- V A Stoica
- Department of Materials Science and Engineering, Pennsylvania State University, University Park, PA, USA
| | - N Laanait
- Center for Nanophase Materials Sciences, Oak Ridge, TN, USA
| | - C Dai
- Department of Materials Science and Engineering, Pennsylvania State University, University Park, PA, USA
| | - Z Hong
- Department of Materials Science and Engineering, Pennsylvania State University, University Park, PA, USA
| | - Y Yuan
- Department of Materials Science and Engineering, Pennsylvania State University, University Park, PA, USA
| | - Z Zhang
- Advanced Photon Source, Argonne National Laboratory, Argonne, IL, USA
| | - S Lei
- Department of Materials Science and Engineering, Pennsylvania State University, University Park, PA, USA
| | - M R McCarter
- Department of Materials Science and Engineering, University of California, Berkeley, CA, USA
| | - A Yadav
- Department of Materials Science and Engineering, University of California, Berkeley, CA, USA
| | - A R Damodaran
- Department of Materials Science and Engineering, University of California, Berkeley, CA, USA
| | - S Das
- Department of Materials Science and Engineering, University of California, Berkeley, CA, USA
| | - G A Stone
- Department of Materials Science and Engineering, Pennsylvania State University, University Park, PA, USA
| | - J Karapetrova
- Advanced Photon Source, Argonne National Laboratory, Argonne, IL, USA
| | - D A Walko
- Advanced Photon Source, Argonne National Laboratory, Argonne, IL, USA
| | - X Zhang
- Advanced Photon Source, Argonne National Laboratory, Argonne, IL, USA
| | - L W Martin
- Department of Materials Science and Engineering, University of California, Berkeley, CA, USA
- Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA, USA
| | - R Ramesh
- Department of Materials Science and Engineering, University of California, Berkeley, CA, USA
- Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA, USA
| | - L-Q Chen
- Department of Materials Science and Engineering, Pennsylvania State University, University Park, PA, USA
| | - H Wen
- Advanced Photon Source, Argonne National Laboratory, Argonne, IL, USA
| | - V Gopalan
- Department of Materials Science and Engineering, Pennsylvania State University, University Park, PA, USA.
| | - J W Freeland
- Advanced Photon Source, Argonne National Laboratory, Argonne, IL, USA.
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Kannan R, Ievlev AV, Laanait N, Ziatdinov MA, Vasudevan RK, Jesse S, Kalinin SV. Deep data analysis via physically constrained linear unmixing: universal framework, domain examples, and a community-wide platform. Adv Struct Chem Imaging 2018; 4:6. [PMID: 29755927 PMCID: PMC5928180 DOI: 10.1186/s40679-018-0055-8] [Citation(s) in RCA: 30] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 07/14/2017] [Accepted: 03/19/2018] [Indexed: 01/05/2023]
Abstract
Many spectral responses in materials science, physics, and chemistry experiments can be characterized as resulting from the superposition of a number of more basic individual spectra. In this context, unmixing is defined as the problem of determining the individual spectra, given measurements of multiple spectra that are spatially resolved across samples, as well as the determination of the corresponding abundance maps indicating the local weighting of each individual spectrum. Matrix factorization is a popular linear unmixing technique that considers that the mixture model between the individual spectra and the spatial maps is linear. Here, we present a tutorial paper targeted at domain scientists to introduce linear unmixing techniques, to facilitate greater understanding of spectroscopic imaging data. We detail a matrix factorization framework that can incorporate different domain information through various parameters of the matrix factorization method. We demonstrate many domain-specific examples to explain the expressivity of the matrix factorization framework and show how the appropriate use of domain-specific constraints such as non-negativity and sum-to-one abundance result in physically meaningful spectral decompositions that are more readily interpretable. Our aim is not only to explain the off-the-shelf available tools, but to add additional constraints when ready-made algorithms are unavailable for the task. All examples use the scalable open source implementation from https://github.com/ramkikannan/nmflibrary that can run from small laptops to supercomputers, creating a user-wide platform for rapid dissemination and adoption across scientific disciplines.
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Affiliation(s)
- R. Kannan
- The Institute for Functional Imaging of Materials, Oak Ridge National Laboratory, Oak Ridge, TN 37831 USA
- Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831 USA
| | - A. V. Ievlev
- The Institute for Functional Imaging of Materials, Oak Ridge National Laboratory, Oak Ridge, TN 37831 USA
- The Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, TN 37831 USA
| | - N. Laanait
- The Institute for Functional Imaging of Materials, Oak Ridge National Laboratory, Oak Ridge, TN 37831 USA
- The Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, TN 37831 USA
| | - M. A. Ziatdinov
- The Institute for Functional Imaging of Materials, Oak Ridge National Laboratory, Oak Ridge, TN 37831 USA
- The Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, TN 37831 USA
| | - R. K. Vasudevan
- The Institute for Functional Imaging of Materials, Oak Ridge National Laboratory, Oak Ridge, TN 37831 USA
- The Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, TN 37831 USA
| | - S. Jesse
- The Institute for Functional Imaging of Materials, Oak Ridge National Laboratory, Oak Ridge, TN 37831 USA
- The Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, TN 37831 USA
| | - S. V. Kalinin
- The Institute for Functional Imaging of Materials, Oak Ridge National Laboratory, Oak Ridge, TN 37831 USA
- The Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, TN 37831 USA
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Li Q, Cao Y, Yu P, Vasudevan RK, Laanait N, Tselev A, Xue F, Chen LQ, Maksymovych P, Kalinin SV, Balke N. Giant elastic tunability in strained BiFeO3 near an electrically induced phase transition. Nat Commun 2015; 6:8985. [PMID: 26597483 PMCID: PMC4673877 DOI: 10.1038/ncomms9985] [Citation(s) in RCA: 37] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/17/2015] [Accepted: 10/22/2015] [Indexed: 11/26/2022] Open
Abstract
Elastic anomalies are signatures of phase transitions in condensed matters and have traditionally been studied using various techniques spanning from neutron scattering to static mechanical testing. Here, using band-excitation elastic/piezoresponse spectroscopy, we probed sub-MHz elastic dynamics of a tip bias-induced rhombohedral−tetragonal phase transition of strained (001)-BiFeO3 (rhombohedral) ferroelectric thin films from ∼103 nm3 sample volumes. Near this transition, we observed that the Young's modulus intrinsically softens by over 30% coinciding with two- to three-fold enhancement of local piezoresponse. Coupled with phase-field modelling, we also addressed the influence of polarization switching and mesoscopic structural heterogeneities (for example, domain walls) on the kinetics of this phase transition, thereby providing fresh insights into the morphotropic phase boundary in ferroelectrics. Furthermore, the giant electrically tunable elastic stiffness and corresponding electromechanical properties observed here suggest potential applications of BiFeO3 in next-generation frequency-agile electroacoustic devices, based on the utilization of the soft modes underlying successive ferroelectric phase transitions. Ferroelectric materials possess spontaneous electrical polarization coupled to their underlying lattice structure, which may be utilized technologically. Here, the authors use band-excitation piezoresponse/elastic spectroscopy to study the sub-megahertz dynamics of a structural phase transition in BiFeO3.
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Affiliation(s)
- Q Li
- Center for Nanophase Materials Sciences and Institute for Functional Imaging of Materials, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - Y Cao
- Center for Nanophase Materials Sciences and Institute for Functional Imaging of Materials, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - P Yu
- State Key Laboratory for Low-Dimensional Quantum Physics, Department of Physics and Collaborative Innovation Center for Quantum Matter, Tsinghua University, Beijing 100084, China.,RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama 351-0198, Japan
| | - R K Vasudevan
- Center for Nanophase Materials Sciences and Institute for Functional Imaging of Materials, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - N Laanait
- Center for Nanophase Materials Sciences and Institute for Functional Imaging of Materials, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - A Tselev
- Center for Nanophase Materials Sciences and Institute for Functional Imaging of Materials, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - F Xue
- Department of Materials Science and Engineering, Pennsylvania State University, University Park, Pennsylvania 16802, USA
| | - L Q Chen
- Department of Materials Science and Engineering, Pennsylvania State University, University Park, Pennsylvania 16802, USA
| | - P Maksymovych
- Center for Nanophase Materials Sciences and Institute for Functional Imaging of Materials, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - S V Kalinin
- Center for Nanophase Materials Sciences and Institute for Functional Imaging of Materials, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - N Balke
- Center for Nanophase Materials Sciences and Institute for Functional Imaging of Materials, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
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