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The crystal structure and local spontaneous polarization of (BaTiO3)m/(SrTiO3)n superlattices is calculated using a first-principles density functional theory method. The in-plane lattice constant is 1% larger than the SrTiO3 substrate to…

材料科学 · 物理学 2013-05-29 Karen Johnston , Xiangyang Huang , Jeffrey B. Neaton , Karin M. Rabe

(Ba,Ca)TiO$_3$ and Ba(Ti,Zr)O$_3$ solid solutions are the building blocks of lead-free piezoelectric materials that attract a renewed interest. We investigate the properties of these systems by means of first-principles calculations, with a…

材料科学 · 物理学 2018-06-06 Danila Amoroso , Andres Cano , Philippe Ghosez

The full phonon dispersion relations of lead titanate and lead zirconate in the cubic perovskite structure are computed using first-principles variational density-functional perturbation theory, with ab initio pseudopotentials and a…

材料科学 · 物理学 2009-10-31 Ph. Ghosez , E. Cockayne , U. V. Waghmare , K. M. Rabe

We review our recent development of a first-principles lattice dynamics method that can treat anharmonic effects nonperturbatively. The method is based on the self-consistent phonon theory and temperature-dependent phonon frequencies can be…

材料科学 · 物理学 2018-01-29 Terumasa Tadano , Shinji Tsuneyuki

Properties of (BaTiO$_3$)$_1$/(BaZrO$_3$)$_n$ ferroelectric superlattices (SLs) with $n = {}$1--7 grown in the [001] direction are calculated from first principles within the density functional theory. It is revealed that the…

材料科学 · 物理学 2013-06-20 Alexander I. Lebedev

A comparative study between PbTiO$_3$, PbZrO$_3$, and the solid solution PbZr$_{0.5}$Ti$_{0.5}$O$_3$ is performed on the soft mode lattice dynamics within the first Brillouin Zone. We consider the six unique B-site orderings for…

材料科学 · 物理学 2019-12-25 Jack S. Baker , David Bowler

Lattice dynamics for several ordered supercells with composition PbMg1/3Nb2/3O (PMN) were calculated with first-principles frozen phonon methods. Nominal symmetries of the supercells studied are reduced by lattice instabilities. Lattice…

材料科学 · 物理学 2009-11-10 S. A. Prosandeev , E. Cockayne , E. P. Burton

First-principles calculations were performed to investigate the ferroelectric properties of barium titanate and bismuth ferrite, as well as phonon dispersion of BaTiO3, using density functional theory and density functional perturbation…

材料科学 · 物理学 2014-12-08 Hong-Jian Feng

We report a first-principles study of (BaTiO${_3}$)$_m$/(BaO)$_n$ superlattices for a wide range of periodicities $m/n$. We show that such a system develops a polar zone-center instability for sufficiently large \textit{m}/\textit{n} ratio,…

材料科学 · 物理学 2015-05-18 Eric Bousquet , Javier Junquera , Philippe Ghosez

We extend our previous first-principles theory for perovskite ferroelectric phase transitions to treat also antiferrodistortive phase transitions. Our approach involves construction of a model Hamiltonian from a Taylor expansion,…

材料科学 · 物理学 2008-02-03 David Vanderbilt , W. Zhong

Ab initio phonon calculations for the nonpolar reference structures of the (001), (110), and (111) PbZrO_3/PbTiO_3 [1:1] superlattices are presented. The unstable polar modes in the tetragonal (001) and (110) structures are confined in…

材料科学 · 物理学 2009-11-07 Claudia Bungaro , K. M. Rabe

First-principles electronic-structure computes the lattice and elastic constants of single-crystal TiB and NbB and changes with Nb, Ti, Al, and V solutes. The data is built into an interpolation formula for lattice and elastic constants of…

材料科学 · 物理学 2010-07-16 D. R. Trinkle

KTaO_3-based solid solutions exhibit a variety of interesting physical phenomena. To better understand these phenomena, we performed first-principles calculations on [K_{1-x}, Li_x]TaO_3 (KLT) and K[Ta_{1-x}, Nb_x]O_3 (KTN) supercells. Our…

材料科学 · 物理学 2009-11-07 Serguei Prosandeev , Eric Cockayne , Benjamin Burton

The effect of layer-by-layer heterostructuring and epitaxial strain on lattice instabilities and related ferroelectric properties is investigated from first principles for the [001]-(PbTiO$_3$)$_1$(PbZrO$_3$)$_1$ superlattice and pure…

材料科学 · 物理学 2009-11-10 Claudia Bungaro , K. M. Rabe

We study the antiferrodistortive instability and its interaction with ferroelectricity in cubic perovskite compounds. Our first-principles calculations show that coexistence of both instabilities is very common. We develop a…

mtrl-th · 物理学 2008-02-03 W. ~Zhong , David Vanderbilt

An accurate and easily extendable method to deal with lattice dynamics of solids is offered. It is based on first-principles molecular dynamics simulations and provides a consistent way to extract the best possible harmonic - or higher…

材料科学 · 物理学 2013-10-14 Olle Hellman , I. A. Abrikosov , S. I. Simak

We apply standard, first-principles calculations to a complete treatment of lattice dynamics in the harmonic approximation. The algorithm makes use of the straightforward ``frozen-phonon'' approach to the calculation of vibrational spectra…

材料科学 · 物理学 2007-05-23 Hadley M. Lawler , Eric K. Chang , Eric L. Shirley

The ferroelectric trends of rutile (TiO$_2$) in bulk and at the (110) surface are investigated by means of ab initio density functional theory. We discuss the underlying mechanism of the incipient ferroelectric behavior of rutile in terms…

材料科学 · 物理学 2015-06-12 Anna Grünebohm , Peter Entel , Claude Ederer

The lattice constants of Strontium titanate perovskite has been studied using the Density functional theory formalism at the PBE and the HSE levels of theory. The study has been done in all the 3 existing phases; namely cubic, orthorhombic…

材料科学 · 物理学 2021-12-22 Manaswita Kar

We present a scheme to construct model potentials, with parameters computed from first principles, for large-scale lattice-dynamical simulations of materials. Our method mimics the traditional solid-state approach to the investigation of…

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