TY - JOUR KW - Modeling KW - Electricity KW - Methodology KW - Electron microscopy KW - Crystal structure KW - Titanium dioxide KW - Polarization KW - Machine learning KW - Experimental study KW - Unclassified drug KW - Article KW - Chemical structure KW - Lead titanate KW - Strontium KW - Electrical property KW - Molecular model KW - Strontium titanate KW - Organolead compound KW - Computer vision KW - Data set KW - Electricity generation KW - Identification method KW - Inorganic compound KW - Vortex KW - Computer analysis KW - Flexoelectricity KW - Quantitative analysis KW - Vortex motion AU - Q Li AU - C.T Nelson AU - S.-L Hsu AU - A.R Damodaran AU - L.-L Li AU - A.K Yadav AU - M McCarter AU - L.W Martin AU - Ramamoorthy Ramesh AU - S.V Kalinin AB - Flexoelectricity refers to electric polarization generated by heterogeneous mechanical strains, namely strain gradients, in materials of arbitrary crystal symmetries. Despite more than 50 years of work on this effect, an accurate identification of its coupling strength remains an experimental challenge for most materials, which impedes its wide recognition. Here, we show the presence of flexoelectricity in the recently discovered polar vortices in PbTiO3/SrTiO3 superlattices based on a combination of machine-learning analysis of the atomic-scale electron microscopy imaging data and phenomenological phase-field modeling. By scrutinizing the influence of flexocoupling on the global vortex structure, we match theory and experiment using computer vision methodologies to determine the flexoelectric coefficients for PbTiO3 and SrTiO3. Our findings highlight the inherent, nontrivial role of flexoelectricity in the generation of emergent complex polarization morphologies and demonstrate a viable approach to delineating this effect, conducive to the deeper exploration of both topics. © 2017 The Author(s). BT - Nature Communications DO - 10.1038/s41467-017-01733-8 LA - eng M1 - 1 N1 - cited By 27 N2 - Flexoelectricity refers to electric polarization generated by heterogeneous mechanical strains, namely strain gradients, in materials of arbitrary crystal symmetries. Despite more than 50 years of work on this effect, an accurate identification of its coupling strength remains an experimental challenge for most materials, which impedes its wide recognition. Here, we show the presence of flexoelectricity in the recently discovered polar vortices in PbTiO3/SrTiO3 superlattices based on a combination of machine-learning analysis of the atomic-scale electron microscopy imaging data and phenomenological phase-field modeling. By scrutinizing the influence of flexocoupling on the global vortex structure, we match theory and experiment using computer vision methodologies to determine the flexoelectric coefficients for PbTiO3 and SrTiO3. Our findings highlight the inherent, nontrivial role of flexoelectricity in the generation of emergent complex polarization morphologies and demonstrate a viable approach to delineating this effect, conducive to the deeper exploration of both topics. © 2017 The Author(s). PB - Nature Publishing Group PY - 2017 T2 - Nature Communications TI - Quantification of flexoelectricity in PbTiO3/SrTiO3 superlattice polar vortices using machine learning and phase-field modeling VL - 8 SN - 20411723 ER -