Direct Observation of Large Flexoelectric Bending at the Nanoscale in Lanthanide Scandates

Koirala, Pratik; Mizzi, Christopher A.; Marks, Laurence D.

doi:10.1021/acs.nanolett.8b01126

Title: Direct Observation of Large Flexoelectric Bending at the Nanoscale in Lanthanide Scandates

Journal Article · Mon May 14 00:00:00 EDT 2018 · Nano Letters

DOI:https://doi.org/10.1021/acs.nanolett.8b01126· OSTI ID:1469325

Koirala, Pratik ^[1];

^[1]; Marks, Laurence D. ^[1]

Northwestern Univ., Evanston, IL (United States). Dept. of Materials Science and Engineering

There is a growing interest in the flexoelectric effect, since at the nanoscale it is predicted to be very large. However, there have been no direct observations of flexoelectric bending consistent with current theoretical work that implies strains comparable to or exceeding the yield strains of typical materials. In this work, we show a direct observation of extraordinarily large, two-dimensional reversible bending at the nanoscale in dysprosium scandate due to the converse flexoelectric effect, with similar results for terbium and gadolinium scandate. Within a transmission electron microscope, thin features bend up to 90° with radii of curvature of about 1 μm, corresponding to very large nominal strains. Analysis including independent experimental determination of the flexoelectric coefficient is semiquantitatively consistent with interpreting the results as due to flexoelectricity. These results experimentally demonstrate large flexoelectric bending at the nanoscale.

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Research Organization:: Northwestern Univ., Evanston, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-01ER45945

OSTI ID:: 1469325

Journal Information:: Nano Letters, Vol. 18, Issue 6; ISSN 1530-6984

Publisher:: American Chemical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 23 works

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References (49)

Piezoelectric Effects in Liquid Crystals Meyer, Robert B. Physical Review Letters, Vol. 22, Issue 18 https://doi.org/10.1103/PhysRevLett.22.918	journal	May 1969
Flexoelectricity of model and living membranes Petrov, Alexander G. Biochimica et Biophysica Acta (BBA) - Biomembranes, Vol. 1561, Issue 1 https://doi.org/10.1016/S0304-4157(01)00007-7	journal	March 2002
Fundamentals of flexoelectricity in solids Yudin, P. V.; Tagantsev, A. K. Nanotechnology, Vol. 24, Issue 43 https://doi.org/10.1088/0957-4484/24/43/432001	journal	October 2013
Flexoelectric Effect in Solids Zubko, Pavlo; Catalan, Gustau; Tagantsev, Alexander K. Annual Review of Materials Research, Vol. 43, Issue 1 https://doi.org/10.1146/annurev-matsci-071312-121634	journal	July 2013
Flexoelectric effects: Charge separation in insulating solids subjected to elastic strain gradients Cross, L. Eric Journal of Materials Science, Vol. 41, Issue 1 https://doi.org/10.1007/s10853-005-5916-6	journal	January 2006
Enhanced flexoelectric-like response in oxide semiconductors Narvaez, Jackeline; Vasquez-Sancho, Fabian; Catalan, Gustau Nature, Vol. 538, Issue 7624 https://doi.org/10.1038/nature19761	journal	September 2016
Strain-Gradient-Induced Polarization in ${SrTiO}_{3}$ Single Crystals Zubko, P.; Catalan, G.; Buckley, A. Physical Review Letters, Vol. 99, Issue 16 https://doi.org/10.1103/PhysRevLett.99.167601	journal	October 2007
Observation of the flexoelectric effect in relaxor Pb(Mg1/3Nb2/3)O3 ceramics Ma, Wenhui; Cross, L. Eric Applied Physics Letters, Vol. 78, Issue 19 https://doi.org/10.1063/1.1356444	journal	May 2001
Breaking of macroscopic centric symmetry in paraelectric phases of ferroelectric materials and implications for flexoelectricity Biancoli, Alberto; Fancher, Chris M.; Jones, Jacob L. Nature Materials, Vol. 14, Issue 2 https://doi.org/10.1038/nmat4139	journal	November 2014
Unified ab initio formulation of flexoelectricity and strain-gradient elasticity Stengel, Massimiliano Physical Review B, Vol. 93, Issue 24 https://doi.org/10.1103/PhysRevB.93.245107	journal	June 2016
First-principles theory and calculation of flexoelectricity Hong, Jiawang; Vanderbilt, David Physical Review B, Vol. 88, Issue 17 https://doi.org/10.1103/PhysRevB.88.174107	journal	November 2013
Microscopic response to inhomogeneous deformations in curvilinear coordinates Stengel, Massimiliano Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms3693	journal	November 2013
Piezoelectricity and flexoelectricity in crystalline dielectrics Tagantsev, A. K. Physical Review B, Vol. 34, Issue 8 https://doi.org/10.1103/PhysRevB.34.5883	journal	October 1986
Towards a Bulk Theory of Flexoelectricity Resta, Raffaele Physical Review Letters, Vol. 105, Issue 12 https://doi.org/10.1103/PhysRevLett.105.127601	journal	September 2010
The flexoelectricity of barium and strontium titanates from first principles Hong, Jiawang; Catalan, G.; Scott, J. F. Journal of Physics: Condensed Matter, Vol. 22, Issue 11 https://doi.org/10.1088/0953-8984/22/11/112201	journal	March 2010
Atomistic determination of flexoelectric properties of crystalline dielectrics Maranganti, R.; Sharma, P. Physical Review B, Vol. 80, Issue 5 https://doi.org/10.1103/PhysRevB.80.054109	journal	August 2009
The origins of electromechanical indentation size effect in ferroelectrics Gharbi, M.; Sun, Z. H.; Sharma, P. Applied Physics Letters, Vol. 95, Issue 14 https://doi.org/10.1063/1.3231442	journal	October 2009
Elucidating the mechanism for indentation size-effect in dielectrics Robinson, C. R.; White, K. W.; Sharma, P. Applied Physics Letters, Vol. 101, Issue 12 https://doi.org/10.1063/1.4753799	journal	September 2012
The effect of flexoelectricity on the dielectric properties of inhomogeneously strained ferroelectric thin films Catalan, G.; Sinnamon, L. J.; Gregg, J. M. Journal of Physics: Condensed Matter, Vol. 16, Issue 13 https://doi.org/10.1088/0953-8984/16/13/006	journal	March 2004
Understanding the origins of the intrinsic dead layer effect in nanocapacitors Majdoub, M. S.; Maranganti, R.; Sharma, P. Physical Review B, Vol. 79, Issue 11 https://doi.org/10.1103/PhysRevB.79.115412	journal	March 2009
Domain wall conduction in multiaxial ferroelectrics Eliseev, Eugene A.; Morozovska, Anna N.; Svechnikov, George S. Physical Review B, Vol. 85, Issue 4 https://doi.org/10.1103/PhysRevB.85.045312	journal	January 2012
Tunable Metallic Conductance in Ferroelectric Nanodomains Maksymovych, Peter; Morozovska, Anna N.; Yu, Pu Nano Letters, Vol. 12, Issue 1 https://doi.org/10.1021/nl203349b	journal	December 2011
Bichiral structure of ferroelectric domain walls driven by flexoelectricity Yudin, P. V.; Tagantsev, A. K.; Eliseev, E. A. Physical Review B, Vol. 86, Issue 13 https://doi.org/10.1103/PhysRevB.86.134102	journal	October 2012
Flexoelectric rotation of polarization in ferroelectric thin films Catalan, G.; Lubk, A.; Vlooswijk, A. H. G. Nature Materials, Vol. 10, Issue 12 https://doi.org/10.1038/nmat3141	journal	October 2011
Conductivity of twin-domain-wall/surface junctions in ferroelastics: Interplay of deformation potential, octahedral rotations, improper ferroelectricity, and flexoelectric coupling Eliseev, Eugene A.; Morozovska, Anna N.; Gu, Yijia Physical Review B, Vol. 86, Issue 8 https://doi.org/10.1103/PhysRevB.86.085416	journal	August 2012
Interfacial polarization and pyroelectricity in antiferrodistortive structures induced by a flexoelectric effect and rotostriction Morozovska, Anna N.; Eliseev, Eugene A.; Glinchuk, Maya D. Physical Review B, Vol. 85, Issue 9 https://doi.org/10.1103/PhysRevB.85.094107	journal	March 2012
Flexoelectric Control of Defect Formation in Ferroelectric Epitaxial Thin Films Lee, Daesu; Jeon, Byung Chul; Yoon, Aram Advanced Materials, Vol. 26, Issue 29 https://doi.org/10.1002/adma.201400654	journal	May 2014
Nanoscale flexoelectric energy harvesting Deng, Qian; Kammoun, Mejdi; Erturk, Alper International Journal of Solids and Structures, Vol. 51, Issue 18 https://doi.org/10.1016/j.ijsolstr.2014.05.018	journal	September 2014
Flexoelectric nano-generator: Materials, structures and devices Jiang, Xiaoning; Huang, Wenbin; Zhang, Shujun Nano Energy, Vol. 2, Issue 6 https://doi.org/10.1016/j.nanoen.2013.09.001	journal	November 2013
A flexoelectric microelectromechanical system on silicon Bhaskar, Umesh Kumar; Banerjee, Nirupam; Abdollahi, Amir Nature Nanotechnology, Vol. 11, Issue 3 https://doi.org/10.1038/nnano.2015.260	journal	November 2015
Direct Measurement of Opening Mode Stress Intensity Factors Using Flexoelectric Strain Gradient Sensors Huang, Wenbin; Yang, Shaorui; Zhang, Ningyi Experimental Mechanics, Vol. 55, Issue 2 https://doi.org/10.1007/s11340-014-9914-y	journal	September 2014
Giant Flexoelectric Effect in Ferroelectric Epitaxial Thin Films Lee, D.; Yoon, A.; Jang, S. Y. Physical Review Letters, Vol. 107, Issue 5 https://doi.org/10.1103/PhysRevLett.107.057602	journal	July 2011
A Theory of the Electrical Breakdown of Solid Dielectrics Zener, C. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 145, Issue 855 https://doi.org/10.1098/rspa.1934.0116	journal	July 1934
Band-gap variation in $R$ ScO $_{3}$ ( $R = \Pr$ , Nd, Sm, Eu, Gd, Tb, and Dy): X-ray absorption and O $K$ -edge x-ray emission spectroscopies Derks, C.; Kuepper, K.; Raekers, M. Physical Review B, Vol. 86, Issue 15 https://doi.org/10.1103/PhysRevB.86.155124	journal	October 2012
Electronic structure of lanthanide scandates Mizzi, Christopher A.; Koirala, Pratik; Marks, Laurence D. Physical Review Materials, Vol. 2, Issue 2 https://doi.org/10.1103/PhysRevMaterials.2.025001	journal	February 2018
Synthesis of Gadolinium Scandate from a Hydroxide Hydrogel Paull, Ryan J.; Mansley, Zachary R.; Ly, Tiffany Inorganic Chemistry, Vol. 57, Issue 7 https://doi.org/10.1021/acs.inorgchem.8b00281	journal	December 2017
SrTiO3() surface structures under oxidizing conditions Erdman, N.; Marks, L. D. Surface Science, Vol. 526, Issue 1-2 https://doi.org/10.1016/S0039-6028(02)02573-6	journal	February 2003
The structure and chemistry of the TiO2-rich surface of SrTiO3 (001) Erdman, Natasha; Poeppelmeier, Kenneth R.; Asta, Mark Nature, Vol. 419, Issue 6902 https://doi.org/10.1038/nature01010	journal	September 2002
Surface Structures of SrTiO ₃ (001): A TiO ₂ -rich Reconstruction with a c(4 × 2) Unit Cell Erdman, Natasha; Warschkow, Oliver; Asta, Mark Journal of the American Chemical Society, Vol. 125, Issue 33 https://doi.org/10.1021/ja034933h	journal	August 2003
Vacant-Site Octahedral Tilings on ${SrTiO}_{3}$ (001), the $(\sqrt{13} \times \sqrt{13}) R 33.7 °$ Surface, and Related Structures Kienzle, D. M.; Becerra-Toledo, A. E.; Marks, L. D. Physical Review Letters, Vol. 106, Issue 17 https://doi.org/10.1103/PhysRevLett.106.176102	journal	April 2011
Atomic-scale structure of the $Sr Ti O_{3} (001) − c (6 \times 2)$ reconstruction: Experiments and first-principles calculations Lanier, C. H.; van de Walle, A.; Erdman, N. Physical Review B, Vol. 76, Issue 4 https://doi.org/10.1103/PhysRevB.76.045421	journal	July 2007
Si-compatible candidates for high- $κ$ dielectrics with the $P b n m$ perovskite structure Coh, Sinisa; Heeg, Tassilo; Haeni, J. H. Physical Review B, Vol. 82, Issue 6 https://doi.org/10.1103/PhysRevB.82.064101	journal	August 2010
Permittivity of Strontium Titanate Neville, R. C.; Hoeneisen, B.; Mead, C. A. Journal of Applied Physics, Vol. 43, Issue 5 https://doi.org/10.1063/1.1661463	journal	May 1972
Elastic moduli of single crystal and polycrystalline MgO Chung, Dae-Hyun Philosophical Magazine, Vol. 8, Issue 89 https://doi.org/10.1080/14786436308213840	journal	May 1963
Spontaneous polarization and piezoelectric constants of III-V nitrides Bernardini, Fabio; Fiorentini, Vincenzo; Vanderbilt, David Physical Review B, Vol. 56, Issue 16, p. R10024-R10027 https://doi.org/10.1103/PhysRevB.56.R10024	journal	October 1997
Low temperature magnetism in the perovskite substrate DyScO3 Ke, X.; Adamo, C.; Schlom, D. G. Applied Physics Letters, Vol. 94, Issue 15 https://doi.org/10.1063/1.3117190	journal	April 2009
Polar phonon anomalies in single-crystalline TbScO ₃ Kamba, Stanislav; Goian, Veronica; Nuzhnyy, Dmitry Phase Transitions, Vol. 86, Issue 2-3 https://doi.org/10.1080/01411594.2012.715294	journal	February 2013
New perspectives for Rashba spin–orbit coupling Manchon, A.; Koo, H. C.; Nitta, J. Nature Materials, Vol. 14, Issue 9 https://doi.org/10.1038/nmat4360	journal	August 2015
Bistability of ferroelectric domain walls: Morphotropic boundary and strain effects Yudin, P. V.; Tagantsev, A. K.; Setter, N. Physical Review B, Vol. 88, Issue 2 https://doi.org/10.1103/physrevb.88.024102	journal	July 2013

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Title: Direct Observation of Large Flexoelectric Bending at the Nanoscale in Lanthanide Scandates

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