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Piezoelectricity is inherent only in noncentrosymmetric materials, but a piezoelectric response can also be obtained in centrosymmetric crystals if subjected to inhomogeneous deformation. This phenomenon, known as flexoelectricity, affects…

Materials Science · Physics 2007-10-22 P. Zubko , G. Catalan , A. Buckley , P. R. L. Welche , J. F. Scott

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

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 polarization response of a material to a strain gradient, known as flexoelectricity, holds great promise for novel electromechanical applications. Despite considerable recent progress, however, the effect remains poorly understood. From…

Materials Science · Physics 2014-12-03 Massimiliano Stengel

Flexoelectricity refers to a linear coupling between the electric polarization and the strain gradient, such as bending or asymmetric compression. This effect is enhanced in nano-scale structures, where grain boundaries or dislocation cores…

Materials Science · Physics 2024-08-12 Kunihiko Yamauchi , Thi Phuong Thao Nguyen , Tamio Oguchi

We derive the complete flexoelectric tensor, including electronic and lattice-mediated effects, of an arbitrary insulator in terms of the microscopic linear response of the crystal to atomic displacements. The basic ingredient, which can be…

Materials Science · Physics 2013-11-27 Massimiliano Stengel

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

We use first principles density functional theory calculations to investigate the effect of biaxial strain in the low-temperature structural and ferroelectric properties of [111]-oriented SrTiO$_3$. We find that [111] biaxial strain,…

Materials Science · Physics 2019-03-27 Sebastian E. Reyes-Lillo , Karin M. Rabe , Jeffrey B. Neaton

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

Two dimensional electron gases based on SrTiO$_3$ are an intriguing platform for exploring mesoscopic superconductivity combined with spin-orbit coupling, offering electrostatic tunability from insulator to metal to superconductor within a…

Mesoscale and Nanoscale Physics · Physics 2021-10-25 Evgeny Mikheev , Ilan T. Rosen , Marc A. Kastner , David Goldhaber-Gordon

Using first-principles electronic structure calculations, we studied the electronic and thermoelectric properties of SrTiO3 based oxide materials and their nanostructures identifying those nanostructures which possess highly anisotropic…

The increasing availability of a variety of two-dimensional materials has generated enormous growth in the field of nanoengineering and nanomechanics. Recent developments in thin film synthesis have enabled the fabrication of freestanding…

Applied Physics · Physics 2021-08-25 Varun Harbola , Ruijuan Xu , Samuel Crossley , Prastuti Singh , Harold Y. Hwang

We propose an efficient approach within the density-functional theory to determine the phonon structure of infinite solids under finite electric fields. We apply this approach to technological SrTiO$_3$, predicting many unusual…

Materials Science · Physics 2007-05-23 Ivan I. Naumov , Huaxiang Fu

First-principles calculations based on density-functional theory in the pseudo-potential approach have been performed for the total energy, crystal structure and cell polarization for SrTaO$_2$N/SrTiO$_3$ heterostructures. Different…

The methods of density-functional perturbation theory may be used to calculate various physical response properties of insulating crystals including elastic, dielectric, Born charge, and piezoelectric tensors. These and other important…

Materials Science · Physics 2009-12-18 Xifan Wu , David Vanderbilt , D. R. Hamann

Computing the temperature and stress dependence of the full elastic constant tensor from first-principles in non-cubic materials remains a challenging problem. Here we circumvent the aforementioned challenge via the generalized…

Materials Science · Physics 2024-03-01 Mark A. Mathis , Chris A. Marianetti

Recently, it was established that a two-dimensional electron system can arise at the interface between two oxide insulators LaAlO3 and SrTiO3. This paradigmatic example exhibits metallic behaviour and magnetic properties between…

Strongly Correlated Electrons · Physics 2016-11-28 I. I. Piyanzina , Yu. V. Lysogorskiy , I. I. Varlamova , A. G. Kiiamov , T. Kopp , V. Eyert , O. V. Nedopekin , D. A. Tayurskii

We present first-principles total-energy calculations of (001) surfaces of SrTiO3. Both SrO-terminated and TiO2-terminated surfaces are considered, and the results are compared with previous calculations for BaTiO3 surfaces. The major…

Materials Science · Physics 2009-10-31 J. Padilla , David Vanderbilt

SrTiO$_3$ is a superconducting semiconductor with a pairing mechanism that is not well understood. SrTiO$_3$ undergoes a ferroelastic transition at $T=$ 105 K, leading to the formation of domains with boundaries that can couple to…

Superconductivity · Physics 2020-02-28 David Pekker , C. Stephen Hellberg , Jeremy Levy

Young's modulus determines the mechanical loads required to elastically stretch a material, and also, the loads required to bend it, given that bending stretches one surface while compressing the opposite one. Flexoelectric materials have…

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