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In this Chapter we provide an overview of the current first-principles perspective on flexoelectric effects in crystalline solids. We base our theoretical formalism on the long-wave expansion of the electrical response of a crystal to an…

Materials Science · Physics 2015-07-29 Massimiliano Stengel , David Vanderbilt

The flexoelectric effect refers to polarization induced in an insulator when a strain gradient is applied. We have developed a first-principles methodology based on density-functional perturbation theory to calculate the elements of the…

Materials Science · Physics 2018-09-10 Cyrus E. Dreyer , Massimiliano Stengel , David Vanderbilt

The theories of flexoelectricity and that of nonlocal elasticity are closely related, and are often considered together when modeling strain-gradient effects in solids. Here I show, based on a first-principles lattice-dynamical analysis,…

Materials Science · Physics 2016-06-08 Massimiliano Stengel

Flexoelectricity is the linear response of polarization to a strain gradient. Here we address the simplest class of dielectrics, namely elemental cubic crystals, and we prove that therein there is no extrinsic (i.e. surface) contribution to…

Materials Science · Physics 2010-11-09 R. Resta

Density-functional perturbation theory (DFPT) is nowadays the method of choice for the accurate computation of linear and non-linear response properties of materials from first principles. A notable advantage of DFPT over alternative…

Materials Science · Physics 2019-06-19 Miquel Royo , Massimiliano Stengel

Building on recent developments in electronic-structure methods, we define and calculate the flexoelectric response of two-dimensional (2D) materials fully from first principles. In particular, we show that the open-circuit voltage response…

Mesoscale and Nanoscale Physics · Physics 2021-12-01 Matteo Springolo , Miquel Royo , Massimiliano Stengel

Within the framework of density functional perturbation theory (DFPT), we implement and test a novel "metric wave" response-function approach. It consists in the reformulation of an acoustic phonon perturbation in the curvilinear frame that…

Materials Science · Physics 2019-02-13 Andrea Schiaffino , Cyrus E. Dreyer , David Vanderbilt , Massimiliano Stengel

Soft robotics requires materials that are capable of large deformation and amenable to actuation with external stimuli such as electric fields. Energy harvesting, biomedical devices, flexible electronics and sensors are some other…

Soft Condensed Matter · Physics 2021-05-27 Matthew Grasinger , Kosar Mozaffari , Pradeep Sharma

This paper develops the equilibrium equations describing the flexoelectric effect in soft dielectrics under large deformations. Previous works have developed related theories using a flexoelectric coupling tensor of mixed material-spatial…

Computational Physics · Physics 2020-12-02 David Codony , Prakhar Gupta , Onofre Marco , Irene Arias

Using the dynamical matrix of a crystal obtained from ab initio calculations, we have evaluated for the first time the strength of the dynamic flexoelectric effect and found it comparable to that of the static bulk flexoelectric effect, in…

Materials Science · Physics 2015-09-02 Alexander Kvasov , Alexander K. Tagantsev

We predict a large in-plane polarization response to bending in a broad class of trigonal two-dimensional crystals. We define and compute the relevant flexoelectric coefficients from first principles as linear-response properties of the…

Materials Science · Physics 2023-08-01 Matteo Springolo , Miquel Royo , Massimiliano Stengel

We develop a general and unified first-principles theory of piezoelectric and flexoelectric tensor, formulated in such a way that the tensor elements can be computed directly in the context of density-functional calculations, including…

Materials Science · Physics 2013-11-21 Jiawang Hong , David Vanderbilt

We present the derivation and code implementation of a first-principles methodology to calculate the lattice-mediated contributions to the bulk flexoelectric tensor. The approach is based on our recent analytical long-wavelength extension…

Materials Science · Physics 2022-02-16 Miquel Royo , Massimiliano Stengel

Flexoelectricity is characterised by the coupling of the gradient of the deformation and the electrical polarization in a dielectric material. A novel micromorphic approach is presented to accommodate the resulting higher-order gradient…

Classical Physics · Physics 2023-07-19 Andrew McBride , Denis Davydov , Paul Steinmann

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

In many cases the correct theoretical description of flexoelectricity requires the consideration of the finite size of a body and is reduced to the solution of boundary problems for partial differential equations. Generally speaking, in…

Materials Science · Physics 2015-01-20 A. S. Yurkov

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

Flexoelectricity induced by strain gradient in dielectrics is highly desirable for electromechanical actuating and sensing systems. It is broadly adopted that flexoelectric polarization responds linearly to strain gradient without…

Materials Science · Physics 2025-04-03 Yingzhuo Lun , Yida Yang , Tingjun Wang , Qi Ren , Sang-Wook Cheong , Xueyun Wang , Jiawang Hong

Upon application of a uniform strain, internal sub-lattice shifts within the unit cell of a non-centrosymmetric dielectric crystal result in the appearance of a net dipole moment: a phenomenon well known as piezoelectricity. A macroscopic…

Materials Science · Physics 2015-05-13 R. Maranganti , P. Sharma

Macroscopic descriptions of ferroelectrics have an obvious appeal in terms of efficiency and physical intuition. Their predictive power, however, has often been thwarted by the lack of a systematicp rocedure to extract the relevant…

Materials Science · Physics 2022-06-07 Oswaldo Diéguez , Massimiliano Stengel
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