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We present a semi-empirical effective Hamiltonian to capture effects of disorder associated with Ba and Sr cations occupying $A$ sites in (Ba$_{x}$Sr$_{1-x}$)TiO$_3$ on its ferroelectric phase transition. Averaging between the parameters of…

Materials Science · Physics 2016-10-28 Takeshi Nishimatsu , Anna Gruenebohm , Umesh V. Waghmare , Momoji Kubo

The phase-transition sequence of a ferroelectric perovskite such as BaTiO_3 can be simulated by computing the statistical mechanics of a first-principles derived effective Hamiltonian [Zhong, Vanderbilt and Rabe, Phys. Rev. Lett. 73, 1861…

Materials Science · Physics 2009-12-17 Jorge Iniguez , J. B. Neaton , D. Vanderbilt

Molecular Dynamics is applied to Ferroelectric Perovskites in the framework of a first-principles derived effective Hamiltonian (Zhong, Vanderbilt, Rabe, Phys. Rev. Lett. {\bf 73} (1994), 1861). The degrees of freedom, that obey the Newton…

Materials Science · Physics 2009-01-26 Gregory Geneste

Ferroelectric perovskites have been ubiquitously applied in piezoelectric devices for decades, among which, eco-friendly lead-free (K,Na)NbO3-based materials have been recently demonstrated to be an excellent candidate for sustainable…

Materials Science · Physics 2023-01-18 Hao-Cheng Thong , XiaoYang Wang , Han Wang , Linfeng Zhang , Ke Wang , Ben Xu

We develop a first-principles scheme to study ferroelectric phase transitions for perovskite compounds. We obtain an effective Hamiltonian which is fully specified by first-principles ultra-soft pseudopotential calculations. This approach…

Condensed Matter · Physics 2009-10-22 W. Zhong , David Vanderbilt , K. M. Rabe

A method for the calculation of the temperature dependence of dielectric and piezoelectric responses, based on the use of a first-principles effective Hamiltonian, is described. Results are presented for the ferroelectric perovskite PbTiO3.…

Materials Science · Physics 2009-10-31 Karin M. Rabe , Eric Cockayne

A newly developed fast molecular-dynamics method is applied to BaTiO3 ferroelectric thin-film capacitors with short-circuited electrodes or under applied voltage. The molecular-dynamics simulations based on a first-principles effective…

Materials Science · Physics 2009-12-17 Takeshi Nishimatsu , Umesh V. Waghmare , Yoshiyuki Kawazoe , David Vanderbilt

Multiferroics - materials which are simultaneously (ferro)magnetic and ferroelectric, and often also ferroelastic, attract now considerable attention, both because of the interesting physics involved and as they promise important practical…

Strongly Correlated Electrons · Physics 2009-11-11 D. I. Khomskii

THz-range dielectric spectroscopy and first-principle-based effective-Hamiltonian molecular dynamics simulations were employed to elucidate the dielectric response in the paraelectric phase of (Ba,Sr)TiO3 solid solutions. Analysis of the…

Materials Science · Physics 2012-11-30 J. Weerasinghe , L. Bellaiche , T. Ostapchuk , P. Kuzel , C. Kadlec , S. Lisenkov , I. Ponomareva , J. Hlinka

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

Dielectric response as a function of frequency for high-permittivity dielectric and ferroelectric materials is discussed emphasizing the dynamic behaviour in the microwave and infrared range. After introducing the usual modelling of the…

Materials Science · Physics 2008-12-18 Jan Petzelt , Stanislav Kamba

The various approximations used in the construction of a first-principles effective Hamiltonian for BaTiO3, and their effects on the calculated transition temperatures, are discussed. An effective Hamiltonian for BaTiO3 is constructed not…

Materials Science · Physics 2009-11-07 Silvia Tinte , Jorge Iniguez , Karin M. Rabe , David Vanderbilt

The first-principles-based effective Hamiltonian scheme provides one of the most accurate modeling technique for large-scale structures, especially for ferroelectrics. However, the parameterization of the effective Hamiltonian is…

Composites of ferroelectric and paraelectric perovskites have attracted a lot of attention due to their application potential in energy storage as well as novel computing and memory devices. So far the main focus of research has been on…

Materials Science · Physics 2025-07-23 Sheng-Han Teng , Chinwendu Anabaraonye , Anna Grünebohm

The perovskite crystal BaTiO3 is modeled using a first-principles based effective Hamiltonian and molecular dynamics simulations are performed to estimate the pyroelectric response. The electrocaloric temperature change, \DeltaT, is…

Materials Science · Physics 2012-08-30 S. P. Beckman , L. F. Wan , Jordan A. Barr , Takeshi Nishimatsu

After more than a hundred years of development, ferroelectric materials have demonstrated their strong potential to people, and more and more ferroelectric materials are being used in the research of ferroelectric transistors (FeFETs). As a…

Applied Physics · Physics 2024-06-21 Zexin Wang

Since the first report of ferroelectricity in nanoscale HfO$_2$-based thin films in 2011, this silicon-compatible binary oxide has quickly garnered intense interest in academia and industry, and continues to do so. Despite its deceivingly…

Materials Science · Physics 2024-08-27 Tianyuan Zhu , Liyang Ma , Shiqing Deng , Shi Liu

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

From lithium-ion batteries to high-temperature superconductors, oxide materials have been widely used in electronic devices. However, demands of future technologies require materials beyond oxides, as anion chemistries distinct from oxygen…

Prediction of properties from composition is a fundamental goal of materials science and can greatly accelerate development of functional materials. It is particularly relevant for ferroelectric perovskite solid solutions where…

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