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In the review we briefly analyze the state-of-art in the theory of flexoelectric phenomena and analyze how significantly the flexoelectric coupling can change the polar order parameter distribution in different ferroics and liquid crystals.…

Theoretical analysis based on the Landau-Ginzburg-Devonshire (LGD) theory is used to show that the joint action of flexoelectric effect and rotostriction leads to a large spontaneous in-plane polarization (~ 1-5 muC/cm2) and pyroelectric…

Materials Science · Physics 2015-06-03 A. N. Morozovska , E. A. Eliseev , S. V. Kalinin , Long Qing Chen , Venkatraman Gopalan

Flexoelectric effect is the coupling between strain, polarization and their gradients, which are prominent at the nanoscale. Although this effect is important to understand nanostructures, such as domain walls in ferroelectrics, its…

Materials Science · Physics 2018-01-17 Yu-Jia Wang , Jiangyu Li , Yin-Lian Zhu , Xiu-Liang Ma

The relationship between the applied elastic strain gradient and the induced electric polarization in the alpha-phase polyvinylidene fluoride (PVDF) films under bending conditions has been investigated. Our experimental studies have shown…

Materials Science · Physics 2017-04-04 Sivapalan Baskaran , Xiangtong He , Yu Wang , John Y. Fu

Flexoelectricity, a coupling between strain gradients and electric polarization, has attracted significant interest due to its critical role in enhanced effects at small scales and its applicability across a diverse range of materials.…

Computational Physics · Physics 2025-02-28 Arash Kazemi , Kshiteej J Deshmukh , Susan Trolier-McKinstry , Shad Roundy

Electric fields have played a key role in discovering and controlling exotic electronic states of condensed matter. However, electric fields usually do not work in metals as free carriers tend to screen electrostatic fields. While a…

We report on nanoscale strain gradients in ferroelectric HoMnO3 epitaxial thin films, resulting in a giant flexoelectric effect. Using grazing-incidence in-plane X-ray diffraction, we measured strain gradients in the films, which were 6 or…

Materials Science · Physics 2011-09-12 Daesu Lee , A. Yoon , S. Y. Jang , J. -G. Yoon , J. -S. Chung , M. Kim , J. F. Scott , T. W. Noh

Ferroelectric materials have remained one of the foci of condensed matter physics and materials science for over 50 years. In the last 20 years, the development of voltage-modulated scanning probe microscopy techniques, exemplified by…

Materials Science · Physics 2017-01-06 Rama K. Vasudevan , Nina Balke , Peter Maksymovych , Stephen Jesse , Sergei V. Kalinin

Using the classic ferroelectric BaTiO$_3$ as an example, we show that the 180 degree ferroelectric domain wall, long considered to be of Ising-type and charge neural, contains both Bloch and Neel type polarization components, and is thus…

Flexoelectricity, inherent in all materials, offers a promising alternative to piezoelectricity for nanoscale actuation and sensing. However, its widespread application faces significant challenges: differentiating flexoelectric effects…

Materials Science · Physics 2024-09-23 Daniel Moreno-Garcia , Kaitlin M. Howell , Luis Guillermo Villanueva

Symmetry breaking at surfaces and interfaces and the capability to support large strain gradients in nanoscale systems enable new forms of electromechanical coupling. Here we introduce the concept of quantum flexoelectricity, a phenomenon…

Materials Science · Physics 2009-11-13 Sergei V. Kalinin , Vincent Meunien

We reveal that strong flexoelectric effect of solids can be induced due to the signfi?cant charge migration along the strain gradient direction, which represents a new understanding of the origin of flexoelectricity. Beyond the linear…

Materials Science · Physics 2020-08-27 Dong-Bo Zhang , Kai Chang

Flexoelectricity has garnered much attention owing to its ability to bring electromechanical functionality to non-piezoelectric materials and its nanoscale significance. In order to move towards a more complete understanding of this…

Materials Science · Physics 2021-06-23 Christopher A. Mizzi , Binghao Guo , Laurence D. Marks

We consider theoretically the influence of the flexoelectric coupling on the spatial distribution and temperature behavior of spontaneous polarization for several types of stable domain structure in thin ferroelectric films, such as stripe…

Materials Science · Physics 2021-08-25 Anna N. Morozovska , Eugene A. Eliseev , Sergei V. Kalinin , Riccardo Hertel

In this paper we study the surface effects that bulk flexoelectric models in finite samples exhibit. We first show that when the body is infinite, flexoelectric materials do not exhibit electromechanical response under homogeneous loading.…

Materials Science · Physics 2025-01-30 H. Mohammadi , F. Greco , D. Codony , I. Arias

Flexoelectricity is a universal electromechanical coupling effect whereby all dielectric materials polarize in response to strain gradients. In particular, nanoscale flexoelectricity promises exotic phenomena and functions, but reliable…

The recently discovered ferroelectric nematic liquids incorporate to the functional combination of fluidity, processability and anisotropic optical properties of nematic liquids, an astonishing range of physical properties derived from the…

As a consequence of elasticity, mechanical deformations of crystals occur on a length scale comparable to their thickness. This is exemplified by applying a homogeneous electric field to a multi-domain ferroelectric crystal: as one domain…

Materials Science · Physics 2009-11-11 Tobias Jungk , Akos Hoffmann , Elisabeth Soergel

In this work, we present a compactly supported radial basis function (CSRBF) based meshfree method to analyse geometrically nonlinear flexoelectric nanostructures considering surface effects. Flexoelectricity is the polarization of…

Computational Physics · Physics 2019-11-18 Xiaoying Zhuang , S. S. Nanthakumar , Timon Rabczuk

We elucidate the flexoelectricity of materials in the high strain gradient regime, of which the underlying mechanism is less understood. By using the generalized Bloch theorem, we uncover a strong flexoelectric-like effect in bent thinfilms…

Materials Science · Physics 2023-09-08 Ya-Xun Wang , Jian-Gao Li , Gotthard Seifert , Kai Chang , Dong-Bo Zhang