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Das S, Hong Z, Stoica VA, Gonçalves MAP, Shao YT, Parsonnet E, Marksz EJ, Saremi S, McCarter MR, Reynoso A, Long CJ, Hagerstrom AM, Meyers D, Ravi V, Prasad B, Zhou H, Zhang Z, Wen H, Gómez-Ortiz F, García-Fernández P, Bokor J, Íñiguez J, Freeland JW, Orloff ND, Junquera J, Chen LQ, Salahuddin S, Muller DA, Martin LW, Ramesh R. Author Correction: Local negative permittivity and topological phase transition in polar skyrmions. Nat Mater 2021; 20:905. [PMID: 33627832 DOI: 10.1038/s41563-021-00962-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Affiliation(s)
- S Das
- Department of Materials Science and Engineering, University of California, Berkeley, CA, USA.
- Department of Physics, University of California, Berkeley, CA, USA.
| | - Z Hong
- Department of Materials Science and Engineering, The Pennsylvania State University, University Park, PA, USA
- Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA, USA
| | - V A Stoica
- Department of Materials Science and Engineering, The Pennsylvania State University, University Park, PA, USA
| | - M A P Gonçalves
- Materials Research and Technology Department, Luxembourg Institute of Science and Technology (LIST), Esch/Alzette, Luxemburg
- Departamento de Ciencias de la Tierra y Física de la Materia Condensada, Universidad de Cantabria, Cantabria Campus Internacional, Santander, Spain
- Physics and Materials Science Research Unit, University of Luxembourg, Belvaux, Luxembourg
| | - Y T Shao
- School of Applied and Engineering Physics, Cornell University, Ithaca, NY, USA
| | - E Parsonnet
- Department of Physics, University of California, Berkeley, CA, USA
| | - E J Marksz
- National Institute of Standards and Technology, Boulder, CO, USA
| | - S Saremi
- Department of Materials Science and Engineering, University of California, Berkeley, CA, USA
| | - M R McCarter
- Department of Physics, University of California, Berkeley, CA, USA
| | - A Reynoso
- Department of Physics, University of California, Berkeley, CA, USA
| | - C J Long
- National Institute of Standards and Technology, Boulder, CO, USA
| | - A M Hagerstrom
- National Institute of Standards and Technology, Boulder, CO, USA
| | - D Meyers
- Department of Materials Science and Engineering, University of California, Berkeley, CA, USA
| | - V Ravi
- Department of Materials Science and Engineering, University of California, Berkeley, CA, USA
| | - B Prasad
- Department of Materials Science and Engineering, University of California, Berkeley, CA, USA
| | - H Zhou
- Advanced Photon Source, Argonne National Laboratory, Argonne, IL, USA
| | - Z Zhang
- Advanced Photon Source, Argonne National Laboratory, Argonne, IL, USA
| | - H Wen
- Advanced Photon Source, Argonne National Laboratory, Argonne, IL, USA
| | - F Gómez-Ortiz
- Departamento de Ciencias de la Tierra y Física de la Materia Condensada, Universidad de Cantabria, Cantabria Campus Internacional, Santander, Spain
| | - P García-Fernández
- Departamento de Ciencias de la Tierra y Física de la Materia Condensada, Universidad de Cantabria, Cantabria Campus Internacional, Santander, Spain
| | - J Bokor
- Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA, USA
| | - J Íñiguez
- Materials Research and Technology Department, Luxembourg Institute of Science and Technology (LIST), Esch/Alzette, Luxemburg
- Physics and Materials Science Research Unit, University of Luxembourg, Belvaux, Luxembourg
| | - J W Freeland
- Advanced Photon Source, Argonne National Laboratory, Argonne, IL, USA
| | - N D Orloff
- National Institute of Standards and Technology, Boulder, CO, USA
| | - J Junquera
- Departamento de Ciencias de la Tierra y Física de la Materia Condensada, Universidad de Cantabria, Cantabria Campus Internacional, Santander, Spain
| | - L Q Chen
- Department of Materials Science and Engineering, The Pennsylvania State University, University Park, PA, USA
| | - S Salahuddin
- Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA, USA
| | - D A Muller
- School of Applied and Engineering Physics, Cornell University, Ithaca, NY, USA
- Kavli Institute at Cornell for Nanoscale Science, Ithaca, NY, 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.
- Department of Physics, University of California, Berkeley, CA, USA.
- Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA, USA.
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Das S, Hong Z, Stoica VA, Gonçalves MAP, Shao YT, Parsonnet E, Marksz EJ, Saremi S, McCarter MR, Reynoso A, Long CJ, Hagerstrom AM, Meyers D, Ravi V, Prasad B, Zhou H, Zhang Z, Wen H, Gómez-Ortiz F, García-Fernández P, Bokor J, Íñiguez J, Freeland JW, Orloff ND, Junquera J, Chen LQ, Salahuddin S, Muller DA, Martin LW, Ramesh R. Local negative permittivity and topological phase transition in polar skyrmions. Nat Mater 2021; 20:194-201. [PMID: 33046856 DOI: 10.1038/s41563-020-00818-y] [Citation(s) in RCA: 31] [Impact Index Per Article: 10.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/14/2019] [Accepted: 09/01/2020] [Indexed: 06/11/2023]
Abstract
Topological solitons such as magnetic skyrmions have drawn attention as stable quasi-particle-like objects. The recent discovery of polar vortices and skyrmions in ferroelectric oxide superlattices has opened up new vistas to explore topology, emergent phenomena and approaches for manipulating such features with electric fields. Using macroscopic dielectric measurements, coupled with direct scanning convergent beam electron diffraction imaging on the atomic scale, theoretical phase-field simulations and second-principles calculations, we demonstrate that polar skyrmions in (PbTiO3)n/(SrTiO3)n superlattices are distinguished by a sheath of negative permittivity at the periphery of each skyrmion. This enhances the effective dielectric permittivity compared with the individual SrTiO3 and PbTiO3 layers. Moreover, the response of these topologically protected structures to electric field and temperature shows a reversible phase transition from the skyrmion state to a trivial uniform ferroelectric state, accompanied by large tunability of the dielectric permittivity. Pulsed switching measurements show a time-dependent evolution and recovery of the skyrmion state (and macroscopic dielectric response). The interrelationship between topological and dielectric properties presents an opportunity to simultaneously manipulate both by a single, and easily controlled, stimulus, the applied electric field.
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Affiliation(s)
- S Das
- Department of Materials Science and Engineering, University of California, Berkeley, CA, USA.
- Department of Physics, University of California, Berkeley, CA, USA.
| | - Z Hong
- Department of Materials Science and Engineering, The Pennsylvania State University, University Park, PA, USA
- Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA, USA
| | - V A Stoica
- Department of Materials Science and Engineering, The Pennsylvania State University, University Park, PA, USA
| | - M A P Gonçalves
- Materials Research and Technology Department, Luxembourg Institute of Science and Technology (LIST), Esch/Alzette, Luxemburg
- Departamento de Ciencias de la Tierra y Física de la Materia Condensada, Universidad de Cantabria, Cantabria Campus Internacional, Santander, Spain
- Physics and Materials Science Research Unit, University of Luxembourg, Belvaux, Luxembourg
| | - Y T Shao
- School of Applied and Engineering Physics, Cornell University, Ithaca, NY, USA
| | - E Parsonnet
- Department of Physics, University of California, Berkeley, CA, USA
| | - E J Marksz
- National Institute of Standards and Technology, Boulder, CO, USA
| | - S Saremi
- Department of Materials Science and Engineering, University of California, Berkeley, CA, USA
| | - M R McCarter
- Department of Physics, University of California, Berkeley, CA, USA
| | - A Reynoso
- Department of Physics, University of California, Berkeley, CA, USA
| | - C J Long
- National Institute of Standards and Technology, Boulder, CO, USA
| | - A M Hagerstrom
- National Institute of Standards and Technology, Boulder, CO, USA
| | - D Meyers
- Department of Materials Science and Engineering, University of California, Berkeley, CA, USA
| | - V Ravi
- Department of Materials Science and Engineering, University of California, Berkeley, CA, USA
| | - B Prasad
- Department of Materials Science and Engineering, University of California, Berkeley, CA, USA
| | - H Zhou
- Advanced Photon Source, Argonne National Laboratory, Argonne, IL, USA
| | - Z Zhang
- Advanced Photon Source, Argonne National Laboratory, Argonne, IL, USA
| | - H Wen
- Advanced Photon Source, Argonne National Laboratory, Argonne, IL, USA
| | - F Gómez-Ortiz
- Departamento de Ciencias de la Tierra y Física de la Materia Condensada, Universidad de Cantabria, Cantabria Campus Internacional, Santander, Spain
| | - P García-Fernández
- Departamento de Ciencias de la Tierra y Física de la Materia Condensada, Universidad de Cantabria, Cantabria Campus Internacional, Santander, Spain
| | - J Bokor
- Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA, USA
| | - J Íñiguez
- Materials Research and Technology Department, Luxembourg Institute of Science and Technology (LIST), Esch/Alzette, Luxemburg
- Physics and Materials Science Research Unit, University of Luxembourg, Belvaux, Luxembourg
| | - J W Freeland
- Advanced Photon Source, Argonne National Laboratory, Argonne, IL, USA
| | - N D Orloff
- National Institute of Standards and Technology, Boulder, CO, USA
| | - J Junquera
- Departamento de Ciencias de la Tierra y Física de la Materia Condensada, Universidad de Cantabria, Cantabria Campus Internacional, Santander, Spain
| | - L Q Chen
- Department of Materials Science and Engineering, The Pennsylvania State University, University Park, PA, USA
| | - S Salahuddin
- Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA, USA
| | - D A Muller
- School of Applied and Engineering Physics, Cornell University, Ithaca, NY, USA
- Kavli Institute at Cornell for Nanoscale Science, Ithaca, NY, 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.
- Department of Physics, University of California, Berkeley, CA, USA.
- Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA, USA.
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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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Damodaran AR, Clarkson JD, Hong Z, Liu H, Yadav AK, Nelson CT, Hsu SL, McCarter MR, Park KD, Kravtsov V, Farhan A, Dong Y, Cai Z, Zhou H, Aguado-Puente P, García-Fernández P, Íñiguez J, Junquera J, Scholl A, Raschke MB, Chen LQ, Fong DD, Ramesh R, Martin LW. Phase coexistence and electric-field control of toroidal order in oxide superlattices. Nat Mater 2017; 16:1003-1009. [PMID: 28783161 DOI: 10.1038/nmat4951] [Citation(s) in RCA: 64] [Impact Index Per Article: 9.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/17/2016] [Accepted: 06/28/2017] [Indexed: 06/07/2023]
Abstract
Systems that exhibit phase competition, order parameter coexistence, and emergent order parameter topologies constitute a major part of modern condensed-matter physics. Here, by applying a range of characterization techniques, and simulations, we observe that in PbTiO3/SrTiO3 superlattices all of these effects can be found. By exploring superlattice period-, temperature- and field-dependent evolution of these structures, we observe several new features. First, it is possible to engineer phase coexistence mediated by a first-order phase transition between an emergent, low-temperature vortex phase with electric toroidal order and a high-temperature ferroelectric a1/a2 phase. At room temperature, the coexisting vortex and ferroelectric phases form a mesoscale, fibre-textured hierarchical superstructure. The vortex phase possesses an axial polarization, set by the net polarization of the surrounding ferroelectric domains, such that it possesses a multi-order-parameter state and belongs to a class of gyrotropic electrotoroidal compounds. Finally, application of electric fields to this mixed-phase system permits interconversion between the vortex and the ferroelectric phases concomitant with order-of-magnitude changes in piezoelectric and nonlinear optical responses. Our findings suggest new cross-coupled functionalities.
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Affiliation(s)
- A R Damodaran
- Department of Materials Science and Engineering, University of California, Berkeley, California 94720, USA
- Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - J D Clarkson
- Department of Materials Science and Engineering, University of California, Berkeley, California 94720, USA
- Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - Z Hong
- Department of Materials Science and Engineering, Pennsylvania State University, State College, Pennsylvania 16802, USA
| | - H Liu
- Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
| | - A K Yadav
- Department of Materials Science and Engineering, University of California, Berkeley, California 94720, USA
- Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
- School of Electrical Engineering and Computer Science, UC Berkeley, Berkeley, California 94720, USA
| | - C T Nelson
- Department of Materials Science and Engineering, University of California, Berkeley, California 94720, USA
- National Center for Electron Microscopy, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - S-L Hsu
- Department of Materials Science and Engineering, University of California, Berkeley, California 94720, USA
- National Center for Electron Microscopy, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - M R McCarter
- Department of Physics, University of California, Berkeley, Berkeley, California 94720, USA
| | - K-D Park
- Department of Physics, Department of Chemistry, and JILA, University of Colorado, Boulder, Boulder, Colorado 80309, USA
| | - V Kravtsov
- Department of Physics, Department of Chemistry, and JILA, University of Colorado, Boulder, Boulder, Colorado 80309, USA
| | - A Farhan
- Advanced Light Source, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - Y Dong
- Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
| | - Z Cai
- X-ray Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
| | - H Zhou
- X-ray Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
| | - P Aguado-Puente
- Centro de Física de Materiales, Universidad del País Vasco, 20018 San Sebastián, Spain
- Donostia International Physics Center, 20018 San Sebastián, Spain
| | - P García-Fernández
- Departmento de Ciencias de la Tierra y Física de la Materia Condensada, Universidad de Cantabria, Cantabria Campus Internacional, avenida de los Castros s/n, 39005 Santander, Spain
| | - J Íñiguez
- Materials Research and Technology Department, Luxembourg Institute of Science and Technology (LIST), 5 avenue des Hauts-Fourneaux, L-4362 Esch/Alzette, Luxembourg
| | - J Junquera
- Departmento de Ciencias de la Tierra y Física de la Materia Condensada, Universidad de Cantabria, Cantabria Campus Internacional, avenida de los Castros s/n, 39005 Santander, Spain
| | - A Scholl
- Advanced Light Source, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - M B Raschke
- Department of Physics, Department of Chemistry, and JILA, University of Colorado, Boulder, Boulder, Colorado 80309, USA
| | - L-Q Chen
- Department of Materials Science and Engineering, Pennsylvania State University, State College, Pennsylvania 16802, USA
| | - D D Fong
- Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
| | - R Ramesh
- Department of Materials Science and Engineering, University of California, Berkeley, California 94720, USA
- Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
- Department of Physics, University of California, Berkeley, Berkeley, California 94720, USA
| | - L W Martin
- Department of Materials Science and Engineering, University of California, Berkeley, California 94720, USA
- Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
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