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Abramiuc LE, Tănase LC, Prieto MJ, de Souza Caldas L, Tiwari A, Apostol NG, Huşanu MA, Chirilă CF, Trupină L, Schmidt T, Pintilie L, Teodorescu CM. Surface charge dynamics on air-exposed ferroelectric Pb(Zr,Ti)O 3(001) thin films. NANOSCALE 2023; 15:13062-13075. [PMID: 37498343 DOI: 10.1039/d3nr02690f] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 07/28/2023]
Abstract
Probing of the free surface ferroelectric properties of thin polar films can be achieved either by estimating the band bending variance under the top-most layer or by studying the extent of the extrinsic charge accumulated outside the surface. Photoemitted or incoming low-energy electrons can be used to characterize locally both properties in a spectromicroscopic approach. Thin ferroelectric lead zirco-titanate (PZT) is investigated by combining low energy/mirror electron microscopy (LEEM/MEM) with photoemission electron microscopy (PEEM) and high-resolution photoelectron spectroscopy (XPS). Significant extrinsic negative compensation charge is proven to accumulate on the surface of the outward polarized thin film, indicated by high MEM-LEEM transition values, up to 15.3 eV, and is correlated with the surface electrostatic potential, which can be partially screened either by electrons interacting with the sample or by soft X-rays through the ejection of secondary electrons and generation of positive charge under the surface. A radiation-induced surface charge compensation effect is observed. The study indicates that air-exposed high quality ferroelectric thin films show large negative surface potentials, determined locally on the surface, which are nevertheless sensitive to beam damage and molecular desorption. These values represent a confirmation of previously estimated surface potential energy values determined from the LEED data on clean surfaces.
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Affiliation(s)
- Laura E Abramiuc
- National Institute of Materials Physics, Atomiştilor 405A, 077125 Măgurele-Ilfov, Romania.
| | - Liviu C Tănase
- Department of Interface Science, Fritz-Haber Institute of the Max Planck Society, 14195 Berlin, Germany
- National Institute of Materials Physics, Atomiştilor 405A, 077125 Măgurele-Ilfov, Romania.
| | - Mauricio J Prieto
- Department of Interface Science, Fritz-Haber Institute of the Max Planck Society, 14195 Berlin, Germany
| | - Lucas de Souza Caldas
- Department of Interface Science, Fritz-Haber Institute of the Max Planck Society, 14195 Berlin, Germany
| | - Aarti Tiwari
- Department of Interface Science, Fritz-Haber Institute of the Max Planck Society, 14195 Berlin, Germany
| | - Nicoleta G Apostol
- National Institute of Materials Physics, Atomiştilor 405A, 077125 Măgurele-Ilfov, Romania.
| | - Marius A Huşanu
- National Institute of Materials Physics, Atomiştilor 405A, 077125 Măgurele-Ilfov, Romania.
| | - Cristina F Chirilă
- National Institute of Materials Physics, Atomiştilor 405A, 077125 Măgurele-Ilfov, Romania.
| | - Lucian Trupină
- National Institute of Materials Physics, Atomiştilor 405A, 077125 Măgurele-Ilfov, Romania.
| | - Thomas Schmidt
- Department of Interface Science, Fritz-Haber Institute of the Max Planck Society, 14195 Berlin, Germany
| | - Lucian Pintilie
- National Institute of Materials Physics, Atomiştilor 405A, 077125 Măgurele-Ilfov, Romania.
| | - Cristian M Teodorescu
- National Institute of Materials Physics, Atomiştilor 405A, 077125 Măgurele-Ilfov, Romania.
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2
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Kim D, Kim M, Reidt S, Han H, Baghizadeh A, Zeng P, Choi H, Puigmartí-Luis J, Trassin M, Nelson BJ, Chen XZ, Pané S. Shape-memory effect in twisted ferroic nanocomposites. Nat Commun 2023; 14:750. [PMID: 36765045 PMCID: PMC9918508 DOI: 10.1038/s41467-023-36274-w] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/25/2022] [Accepted: 01/20/2023] [Indexed: 02/12/2023] Open
Abstract
The shape recovery ability of shape-memory alloys vanishes below a critical size (~50 nm), which prevents their practical applications at the nanoscale. In contrast, ferroic materials, even when scaled down to dimensions of a few nanometers, exhibit actuation strain through domain switching, though the generated strain is modest (~1%). Here, we develop freestanding twisted architectures of nanoscale ferroic oxides showing shape-memory effect with a giant recoverable strain (>8%). The twisted geometrical design amplifies the strain generated during ferroelectric domain switching, which cannot be achieved in bulk ceramics or substrate-bonded thin films. The twisted ferroic nanocomposites allow us to overcome the size limitations in traditional shape-memory alloys and open new avenues in engineering large-stroke shape-memory materials for small-scale actuating devices such as nanorobots and artificial muscle fibrils.
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Affiliation(s)
- Donghoon Kim
- grid.5801.c0000 0001 2156 2780Multi-Scale Robotics Lab, Institute of Robotics and Intelligent Systems, ETH Zurich, Tannenstrasse 3, 8092 Zurich, Switzerland
| | - Minsoo Kim
- grid.5801.c0000 0001 2156 2780Multi-Scale Robotics Lab, Institute of Robotics and Intelligent Systems, ETH Zurich, Tannenstrasse 3, 8092 Zurich, Switzerland
| | - Steffen Reidt
- grid.410387.9IBM Research Zurich, Säumerstrasse 4, 8803 Rüschilikon, Switzerland
| | - Hyeon Han
- grid.450270.40000 0004 0491 5558Max Plank Institute of Microstructure Physics, 06120 Halle (Saale), Germany
| | - Ali Baghizadeh
- grid.5801.c0000 0001 2156 2780The Scientific Center for Optical and Electron Microscopy (ScopeM), ETH Zurich, 8093 Zurich, Switzerland
| | - Peng Zeng
- grid.5801.c0000 0001 2156 2780The Scientific Center for Optical and Electron Microscopy (ScopeM), ETH Zurich, 8093 Zurich, Switzerland
| | - Hongsoo Choi
- grid.417736.00000 0004 0438 6721Department of Robotics & Mechatronics Engineering, DGIST-ETH Microrobotics Research Center, Daegu Gyeong-buk Institute of Science and Technology (DGIST), Daegu, Republic of Korea
| | - Josep Puigmartí-Luis
- grid.5841.80000 0004 1937 0247Departament de Ciència dels Materials i Química Física, Institut de Química Teòrica i Computacional, University of Barcelona (UB), 08028 Barcelona, Spain ,grid.425902.80000 0000 9601 989XInstitució Catalana de Recerca i Estudis Avançats (ICREA); Pg. Lluís Companys 23, Barcelona, 08010 Spain
| | - Morgan Trassin
- grid.5801.c0000 0001 2156 2780Department of Materials, ETH Zurich, 8093 Zurich, Switzerland
| | - Bradley J. Nelson
- grid.5801.c0000 0001 2156 2780Multi-Scale Robotics Lab, Institute of Robotics and Intelligent Systems, ETH Zurich, Tannenstrasse 3, 8092 Zurich, Switzerland
| | - Xiang-Zhong Chen
- Multi-Scale Robotics Lab, Institute of Robotics and Intelligent Systems, ETH Zurich, Tannenstrasse 3, 8092, Zurich, Switzerland.
| | - Salvador Pané
- Multi-Scale Robotics Lab, Institute of Robotics and Intelligent Systems, ETH Zurich, Tannenstrasse 3, 8092, Zurich, Switzerland.
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3
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González LE, Ordoñez JE, Melo-Luna CA, Mendoza E, Reyes D, Zambrano G, Porras-Montenegro N, Granada JC, Gómez ME, Reina JH. Experimental realisation of tunable ferroelectric/superconductor [Formula: see text] 1D photonic crystals in the whole visible spectrum. Sci Rep 2020; 10:13083. [PMID: 32753626 PMCID: PMC7403599 DOI: 10.1038/s41598-020-69811-4] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/16/2019] [Accepted: 07/17/2020] [Indexed: 11/25/2022] Open
Abstract
Emergent technologies that make use of novel materials and quantum properties of light states are at the forefront in the race for the physical implementation, encoding and transmission of information. Photonic crystals (PCs) enter this paradigm with optical materials that allow the control of light propagation and can be used for optical communication, and photonics and electronics integration, making use of materials ranging from semiconductors, to metals, metamaterials, and topological insulators, to mention but a few. Here, we show how designer superconductor materials integrated into PCs fabrication allow for an extraordinary reduction of electromagnetic waves damping, making possible their optimal propagation and tuning through the structure, below critical superconductor temperature. We experimentally demonstrate, for the first time, a successful integration of ferroelectric and superconductor materials into a one-dimensional (1D) PC composed of [Formula: see text] bilayers that work in the whole visible spectrum, and below (and above) critical superconductor temperature [Formula: see text]. Theoretical calculations support, for different number of bilayers N, the effectiveness of the produced 1D PCs and may pave the way for novel optoelectronics integration and information processing in the visible spectrum, while preserving their electric and optical properties.
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Affiliation(s)
- Luz E. González
- Centre for Bioinformatics and Photonics (CIBioFi), Universidad del Valle, Edificio E20 No. 1069, 760032 Cali, Colombia
- Solid State Theoretical Physics Group, Departamento de Física, Universidad del Valle, 760032 Cali, Colombia
- Facultad de Ciencias Naturales y Matemáticas, Universidad de Ibagué, 730001 Ibagué, Colombia
| | - John E. Ordoñez
- Thin Films Group, Departamento de Física, Universidad del Valle, 760032 Cali, Colombia
| | - Carlos A. Melo-Luna
- Centre for Bioinformatics and Photonics (CIBioFi), Universidad del Valle, Edificio E20 No. 1069, 760032 Cali, Colombia
- Quantum Technologies, Information and Complexity Group, Departamento de Física, Universidad del Valle, 760032 Cali, Colombia
| | - Evelyn Mendoza
- Thin Films Group, Departamento de Física, Universidad del Valle, 760032 Cali, Colombia
| | - David Reyes
- Centre d’Élaboration de Matériaux et d’Etudes Structurales (CEMES) CNRS-UPR 8011, 29 Rue Jeanne Marvig, 31055 Toulouse, France
| | - Gustavo Zambrano
- Thin Films Group, Departamento de Física, Universidad del Valle, 760032 Cali, Colombia
| | - Nelson Porras-Montenegro
- Centre for Bioinformatics and Photonics (CIBioFi), Universidad del Valle, Edificio E20 No. 1069, 760032 Cali, Colombia
- Solid State Theoretical Physics Group, Departamento de Física, Universidad del Valle, 760032 Cali, Colombia
| | - Juan C. Granada
- Centre for Bioinformatics and Photonics (CIBioFi), Universidad del Valle, Edificio E20 No. 1069, 760032 Cali, Colombia
- Solid State Theoretical Physics Group, Departamento de Física, Universidad del Valle, 760032 Cali, Colombia
| | - Maria E. Gómez
- Thin Films Group, Departamento de Física, Universidad del Valle, 760032 Cali, Colombia
| | - John H. Reina
- Centre for Bioinformatics and Photonics (CIBioFi), Universidad del Valle, Edificio E20 No. 1069, 760032 Cali, Colombia
- Quantum Technologies, Information and Complexity Group, Departamento de Física, Universidad del Valle, 760032 Cali, Colombia
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4
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Barzilay M, Ivry Y. Formation and manipulation of domain walls with 2 nm domain periodicity in BaTiO 3 without contact electrodes. NANOSCALE 2020; 12:11136-11142. [PMID: 32400795 DOI: 10.1039/d0nr01747g] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
Interfaces at the two-dimensional limit in oxide materials exhibit a wide span of functionality that differs significantly from the bulk behavior. Among such interfaces, domain walls in ferroelectrics draw special attention because they can be moved deterministically with external voltage, while they remain at place after voltage removal, paving the way to novel neuromorphic and low-power data-processing technologies. Ferroic domains arise to release strain, which depends on material thickness, following Kittel's scaling law. Hence, a major hurdle is to reduce the device footprint for a given thickness, i.e., to form and move high-density domain walls. Here, we used transmission electron microscopy to produce domain walls with periodicity as high as 2 nm without the use of contact electrodes, while observing their formation and dynamics in situ in BaTiO3. Large-area coverage of the engineered domain walls was demonstrated. The domain-wall density was found to increase with increasing effective stress, until arriving at a saturation value that reflects 150-fold effective stress enhancement. Exceeding this value resulted in strain release by domain rotation. In addition to revealing this multiscale strain-releasing mechanism, we offer a device design that allows controllable switching of domain-walls with 2 nm periodicity, reflecting a potential 144 Tb per inch2 neuromorphic network.
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Affiliation(s)
- Maya Barzilay
- Department of Materials Science and Engineering, Technion - Israel Institute of Technology, Haifa 3200003, Israel. and Solid State Institute, Technion - Israel Institute of Technology, Haifa 3200003, Israel
| | - Yachin Ivry
- Department of Materials Science and Engineering, Technion - Israel Institute of Technology, Haifa 3200003, Israel. and Solid State Institute, Technion - Israel Institute of Technology, Haifa 3200003, Israel
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5
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Zhong M, Zeng W, Liu F, Tang B, Liu Q. First‐principles study of the atomic structures, electronic properties, and surface stability of BaTiO3(001) and (011) surfaces. SURF INTERFACE ANAL 2019. [DOI: 10.1002/sia.6688] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
Affiliation(s)
- Mi Zhong
- School of Physical Science and TechnologySouthwest Jiaotong University, Key Laboratory of Advanced Technologies of Materials, Ministry of Education of China Chengdu People's Republic of China
- Bond and Band Engineering Group, Sichuan Provincial Key Laboratory (for Universities) of High Pressure Science and TechnologySouthwest Jiaotong University Chengdu People's Republic of China
| | - Wei Zeng
- Teaching and Research Group of Chemistry, College of Medical TechnologyChengdu University of Traditional Chinese Medicine Chengdu People's Republic of China
| | - Fu‐Sheng Liu
- School of Physical Science and TechnologySouthwest Jiaotong University, Key Laboratory of Advanced Technologies of Materials, Ministry of Education of China Chengdu People's Republic of China
- Bond and Band Engineering Group, Sichuan Provincial Key Laboratory (for Universities) of High Pressure Science and TechnologySouthwest Jiaotong University Chengdu People's Republic of China
| | - Bin Tang
- State Key Laboratory of Solidification ProcessingNorthwestern Polytechnical University Xi'an People's Republic of China
| | - Qi‐Jun Liu
- School of Physical Science and TechnologySouthwest Jiaotong University, Key Laboratory of Advanced Technologies of Materials, Ministry of Education of China Chengdu People's Republic of China
- Bond and Band Engineering Group, Sichuan Provincial Key Laboratory (for Universities) of High Pressure Science and TechnologySouthwest Jiaotong University Chengdu People's Republic of China
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6
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Zheng C, Yu L, Zhu L, Collins JL, Kim D, Lou Y, Xu C, Li M, Wei Z, Zhang Y, Edmonds MT, Li S, Seidel J, Zhu Y, Liu JZ, Tang WX, Fuhrer MS. Room temperature in-plane ferroelectricity in van der Waals In 2Se 3. SCIENCE ADVANCES 2018; 4:eaar7720. [PMID: 30027116 PMCID: PMC6044735 DOI: 10.1126/sciadv.aar7720] [Citation(s) in RCA: 98] [Impact Index Per Article: 16.3] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/17/2017] [Accepted: 06/01/2018] [Indexed: 05/20/2023]
Abstract
Van der Waals (vdW) assembly of layered materials is a promising paradigm for creating electronic and optoelectronic devices with novel properties. Ferroelectricity in vdW layered materials could enable nonvolatile memory and low-power electronic and optoelectronic switches, but to date, few vdW ferroelectrics have been reported, and few in-plane vdW ferroelectrics are known. We report the discovery of in-plane ferroelectricity in a widely investigated vdW layered material, β'-In2Se3. The in-plane ferroelectricity is strongly tied to the formation of one-dimensional superstructures aligning along one of the threefold rotational symmetric directions of the hexagonal lattice in the c plane. Surprisingly, the superstructures and ferroelectricity are stable to 200°C in both bulk and thin exfoliated layers of In2Se3. Because of the in-plane nature of ferroelectricity, the domains exhibit a strong linear dichroism, enabling novel polarization-dependent optical properties.
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Affiliation(s)
- Changxi Zheng
- College of Materials Science and Engineering, Chongqing University, Chongqing 400044, China
- Monash Centre for Atomically Thin Materials, Monash University, Clayton, Victoria 3800, Australia
- Department of Civil Engineering, Monash University, Clayton, Victoria 3800, Australia
- Corresponding author. (C.Z.); (W.-X.T.); (M.S.F.)
| | - Lei Yu
- College of Materials Science and Engineering, Chongqing University, Chongqing 400044, China
| | - Lin Zhu
- College of Materials Science and Engineering, Chongqing University, Chongqing 400044, China
| | - James L. Collins
- Monash Centre for Atomically Thin Materials, Monash University, Clayton, Victoria 3800, Australia
- Australian Research Council (ARC) Centre of Excellence in Future Low-Energy Electronics Technologies, Monash University, Clayton, Victoria 3800, Australia
- School of Physics and Astronomy, Monash University, Clayton, Victoria 3800, Australia
| | - Dohyung Kim
- School of Materials Science and Engineering, University of New South Wales, Sydney, New South Wales 2052, Australia
| | - Yaoding Lou
- Department of Mechanical Engineering, University of Melbourne, Melbourne, Victoria 3010, Australia
| | - Chao Xu
- Department of Applied Physics, Hong Kong Polytechnic University, Kowloon, Hong Kong SAR
| | - Meng Li
- College of Materials Science and Engineering, Chongqing University, Chongqing 400044, China
| | - Zheng Wei
- College of Materials Science and Engineering, Chongqing University, Chongqing 400044, China
| | - Yupeng Zhang
- College of Electronic Science and Technology, Shenzhen University, Shenzhen 518060, China
| | - Mark T. Edmonds
- Monash Centre for Atomically Thin Materials, Monash University, Clayton, Victoria 3800, Australia
- Australian Research Council (ARC) Centre of Excellence in Future Low-Energy Electronics Technologies, Monash University, Clayton, Victoria 3800, Australia
- School of Physics and Astronomy, Monash University, Clayton, Victoria 3800, Australia
| | - Shiqiang Li
- Department of Electrical and Electronic Engineering, University of Melbourne, Melbourne, Victoria 3010, Australia
| | - Jan Seidel
- School of Materials Science and Engineering, University of New South Wales, Sydney, New South Wales 2052, Australia
- ARC Centre of Excellence in Future Low-Energy Electronics Technologies, University of New South Wales, Sydney, New South Wales 2052, Australia
| | - Ye Zhu
- Department of Applied Physics, Hong Kong Polytechnic University, Kowloon, Hong Kong SAR
| | - Jefferson Zhe Liu
- Department of Mechanical Engineering, University of Melbourne, Melbourne, Victoria 3010, Australia
| | - Wen-Xin Tang
- College of Materials Science and Engineering, Chongqing University, Chongqing 400044, China
- Corresponding author. (C.Z.); (W.-X.T.); (M.S.F.)
| | - Michael S. Fuhrer
- Monash Centre for Atomically Thin Materials, Monash University, Clayton, Victoria 3800, Australia
- Australian Research Council (ARC) Centre of Excellence in Future Low-Energy Electronics Technologies, Monash University, Clayton, Victoria 3800, Australia
- School of Physics and Astronomy, Monash University, Clayton, Victoria 3800, Australia
- Corresponding author. (C.Z.); (W.-X.T.); (M.S.F.)
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7
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Kalinin SV, Kim Y, Fong DD, Morozovska AN. Surface-screening mechanisms in ferroelectric thin films and their effect on polarization dynamics and domain structures. REPORTS ON PROGRESS IN PHYSICS. PHYSICAL SOCIETY (GREAT BRITAIN) 2018; 81:036502. [PMID: 29368693 DOI: 10.1088/1361-6633/aa915a] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/10/2023]
Abstract
For over 70 years, ferroelectric materials have been one of the central research topics for condensed matter physics and material science, an interest driven both by fundamental science and applications. However, ferroelectric surfaces, the key component of ferroelectric films and nanostructures, still present a significant theoretical and even conceptual challenge. Indeed, stability of ferroelectric phase per se necessitates screening of polarization charge. At surfaces, this can lead to coupling between ferroelectric and semiconducting properties of material, or with surface (electro) chemistry, going well beyond classical models applicable for ferroelectric interfaces. In this review, we summarize recent studies of surface-screening phenomena in ferroelectrics. We provide a brief overview of the historical understanding of the physics of ferroelectric surfaces, and existing theoretical models that both introduce screening mechanisms and explore the relationship between screening and relevant aspects of ferroelectric functionalities starting from phase stability itself. Given that the majority of ferroelectrics exist in multiple-domain states, we focus on local studies of screening phenomena using scanning probe microscopy techniques. We discuss recent studies of static and dynamic phenomena on ferroelectric surfaces, as well as phenomena observed under lateral transport, light, chemical, and pressure stimuli. We also note that the need for ionic screening renders polarization switching a coupled physical-electrochemical process and discuss the non-trivial phenomena such as chaotic behavior during domain switching that stem from this.
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Affiliation(s)
- Sergei V Kalinin
- The Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, TN 37831, United States of America
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8
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Nataf GF, Grysan P, Guennou M, Kreisel J, Martinotti D, Rountree CL, Mathieu C, Barrett N. Low energy electron imaging of domains and domain walls in magnesium-doped lithium niobate. Sci Rep 2016; 6:33098. [PMID: 27608605 PMCID: PMC5016809 DOI: 10.1038/srep33098] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/18/2016] [Accepted: 08/19/2016] [Indexed: 11/21/2022] Open
Abstract
The understanding of domain structures, specifically domain walls, currently attracts a significant attention in the field of (multi)-ferroic materials. In this article, we analyze contrast formation in full field electron microscopy applied to domains and domain walls in the uniaxial ferroelectric lithium niobate, which presents a large 3.8 eV band gap and for which conductive domain walls have been reported. We show that the transition from Mirror Electron Microscopy (MEM – electrons reflected) to Low Energy Electron Microscopy (LEEM – electrons backscattered) gives rise to a robust contrast between domains with upwards (Pup) and downwards (Pdown) polarization, and provides a measure of the difference in surface potential between the domains. We demonstrate that out-of-focus conditions of imaging produce contrast inversion, due to image distortion induced by charged surfaces, and also carry information on the polarization direction in the domains. Finally, we show that the intensity profile at domain walls provides experimental evidence for a local stray, lateral electric field.
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Affiliation(s)
- G F Nataf
- SPEC, CEA, CNRS, Université Paris-Saclay, CEA Saclay, 91191 Gif-sur-Yvette Cedex, France.,Materials Research and Technology Department, Luxembourg Institute of Science and Technology, 41 rue du Brill, 4422 Belvaux, Luxembourg
| | - P Grysan
- Materials Research and Technology Department, Luxembourg Institute of Science and Technology, 41 rue du Brill, 4422 Belvaux, Luxembourg
| | - M Guennou
- Materials Research and Technology Department, Luxembourg Institute of Science and Technology, 41 rue du Brill, 4422 Belvaux, Luxembourg
| | - J Kreisel
- Materials Research and Technology Department, Luxembourg Institute of Science and Technology, 41 rue du Brill, 4422 Belvaux, Luxembourg.,Physics and Materials Science Research Unit, University of Luxembourg, 41 rue du Brill, 4422 Belvaux, Luxembourg
| | - D Martinotti
- SPEC, CEA, CNRS, Université Paris-Saclay, CEA Saclay, 91191 Gif-sur-Yvette Cedex, France
| | - C L Rountree
- SPEC, CEA, CNRS, Université Paris-Saclay, CEA Saclay, 91191 Gif-sur-Yvette Cedex, France
| | - C Mathieu
- SPEC, CEA, CNRS, Université Paris-Saclay, CEA Saclay, 91191 Gif-sur-Yvette Cedex, France
| | - N Barrett
- SPEC, CEA, CNRS, Université Paris-Saclay, CEA Saclay, 91191 Gif-sur-Yvette Cedex, France
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