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We carry out a completely first-principles study of the ferroelectric phase transitions in BaTiO$_3$. Our approach takes advantage of two features of these transitions: the structural changes are small, and only low-energy distortions are…

mtrl-th · Physics 2016-09-07 W. Zhong , David Vanderbilt , K. M. Rabe

Using density-functional calculations we study the structure and polarization response of tetragonal PbTiO3, BaTiO3 and SrTiO3 in a strain regime that is previously overlooked. Different from common expectations, we find that the…

Materials Science · Physics 2008-04-07 Yanpeng Yao , Huaxiang Fu

Ferroelectric BaTiO3 films with large polarization have been integrated with Si(001) by pulsed laser deposition. High quality c-oriented epitaxial films are obtained in a substrate temperature range of about 300 deg C wide. The deposition…

Materials Science · Physics 2018-01-25 Jike Lyu , Ignasi Fina , Raul Solanas , Josep Fontcuberta , Florencio Sanchez

An effective Hamiltonian for the ferroelectric transition in PbTiO3 is constructed from first-principles density-functional-theory total-energy and linear-response calculations through the use of a localized, symmetrized basis set of…

mtrl-th · Physics 2009-10-30 U. V. Waghmare , K. M. Rabe

The experimental data on the thermal properties of the nanostructured perovskite ferroelectrics are presented and analysed. The ability of the modified 3w method for specific heat measurements is discussed and illustrated by the thermal…

Materials Science · Physics 2007-05-23 B. Strukov , S. Davitadze , V. Lemanov , S. Shulman , Y. Uesu , S. Asanuma

Using an extension of a first-principles method developed by King-Smith and Vanderbilt [Phys. Rev. B {\bf 49}, 5828 (1994)], we investigate the effects of in-plane epitaxial strain on the ground-state structure and polarization of eight…

Materials Science · Physics 2009-12-22 Oswaldo Dieguez , Karin M. Rabe , David Vanderbilt

Barium titanate (BaTiO$_3$) is a prototypical ferroelectric perovskite that undergoes the rhombohedral-orthorhombic-tetragonal-cubic phase transitions as the temperature increases. In this work, we develop a classical interatomic potential…

Materials Science · Physics 2016-11-23 Yubo Qi , Shi Liu , Ilya Grinberg , Andrew M. Rappe

PbTiO$_3$ is a simple but very important ferroelectric oxide that has been extensively studied and widely used in various technological applications. However, most previous studies and applications were based on the bulk material or the…

Materials Science · Physics 2015-11-11 Huimin Zhang , Ming An , Xiaoyan Yao , Shuai Dong

Layers of perovskites, found in 3D materials, 2D heterostructures, and nanotubes, often distort from high symmetry to facilitate dipole polarisation that is exploitable in many applications. Using density-functional theory calculations,…

Materials Science · Physics 2025-11-14 Shaowen Xu , Jeffrey R. Reimers , Fanhao Jia , Wei Ren

We present a high-pressure x-ray diffuse scattering study of the ABO$_3$ ferroelectric perovskites BaTiO_3 and KNbO_3. The well-known diffuse lines are observed in all the phases studied. In KNbO_3, we show that the lines are present up to…

Materials Science · Physics 2009-11-13 Sylvain Ravy , Jean-Paul Itie , Alain Polian , Michael Hanfland

We revisit the phase diagram of BaTiO$_3$ under biaxial strain using a first principles-based effective Hamiltonian approach. We show that, in addition to the tetragonal ($c$), quasi-rhombohedral ($r$), and quasi-orthorhombic ($aa$)…

Materials Science · Physics 2016-09-30 Anna Grünebohm , Madhura Marathe , Claude Ederer

With recent advances in strain engineering and its widespread applications, it is becoming increasingly important to understand the effect of biaxial strain on the most common structural phase of perovskites -- the orthorhombic $Pnma$…

Materials Science · Physics 2023-11-23 Amartyajyoti Saha , Turan Birol

The strain dependence of electric and magnetic properties has been widely investigated, both from a fundamental science perspective and an applications point of view. Electromechanical coupling through field-induced polarization rotation…

Materials Science · Physics 2015-06-22 Zhiguang Wang , Yaojin Wang , Haosu Luo , Jiefang Li , D. Viehland

First-principles density functional calculations are performed to investigate the interplay between inplane strains and interface effects in 1by1 PbTiO3/SrTiO3 and BaTiO3/SrTiO3 superlattices of tetragonal symmetry. One particular emphasis…

Materials Science · Physics 2010-04-19 Yanpeng Yao , Huaxiang Fu

PbTiO$_3$ is a ferroelectric perovskite semiconductor with favourable electronic and optical properties, making it suitable for a wide range of applications, including photo-catalysis and (opto)electronic devices. Despite its relevance, an…

Materials Science · Physics 2025-12-03 Pietro Pacchioni , Lorenzo Varrassi , Cesare Franchini

The crystal structures and phonon spectra of orthorhombic cadmium titanate with the $Pbnm$ structure and of its two possible ferroelectrically distorted phases with $Pbn2_1$ and $Pb2_1m$ space groups were calculated from first principles…

Materials Science · Physics 2015-07-27 Alexander I. Lebedev

The $\phi(\kpp)\sim \kpp$ relation is called polarization structure. By density functional calculations, we study the polarization structure in ferroelectric perovskite PbTiO$_3$, revealing (1) the $\kpp$ point that contributes most to the…

Materials Science · Physics 2009-01-08 Yanpeng Yao , Huaxiang Fu

Micrometric domains of precise ferroelectric polarization have been written into a 20 nm thick epitaxial thin film of BaTiO3(001) (BTO) on a Nb doped SrTiO3 (STO) substrate using PiezoForce Microscopy (PFM). The domain dependent electronic…

Materials Science · Physics 2018-06-06 N. Barrett , J. Rault , I. Krug , B. Vilquin , G. Niu , B. Gautier , D. Albertini , O. Renault

We calculate from first principles the nonlinear piezoelectric response of ferroelectric PbTiO3 for the case of a polarization-enhancing electric field applied along the tetragonal axis. We focus mainly on the case of fixed in-plane lattice…

Materials Science · Physics 2011-03-03 Anindya Roy , Massimiliano Stengel , David Vanderbilt

We report observation of 90-degree ferroelectric domain structures in transmission electron microscopy (TEM) of epitaxially-grown films of PbTiO3. Using molecular dynamics (MD) simulations based on first-principles effective Hamiltonian of…