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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

Using an effective Hamiltonian parametrized from first principles, Monte Carlo simulations are performed in order to study the piezoelectric response of BaTiO3 in the ferroelectric tetragonal phase as a function of temperature. The effect…

Materials Science · Physics 2009-10-30 Alberto Garcia , David Vanderbilt

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

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

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 first-principles study of the vibrational modes of PbTiO_3 in the ferroelectric tetragonal phase has been performed at all the main symmetry points of the Brillouin zone (BZ). The calculations use the local-density approximation and…

mtrl-th · Physics 2009-10-30 Alberto Garcia , David Vanderbilt

Group theoretical aspects of the three temperature-dependent and temperature-reversible experimentally observed phase transitions in the KNbO3 crystal (cubic-tetragonal, tetragonal-orthorhombic, orthorhombic-rhombohedral) in the framework…

Materials Science · Physics 2024-11-05 R. A. Evarestov , Yu. E. Kitaev , S. S. Novikov

Our first-principles computations show that the ground state of PbTiO$_3$ under hydrostatic pressure transforms discontinuously from $P4mm$ to $R3c$ at 9 GPa. Spontaneous polarization decreases with increasing pressure so that the $R3c$…

Materials Science · Physics 2007-05-23 J. Frantti , Y. Fujioka , R. M. Nieminen

BaTiO3 (BTO) is one of the most interesting classes of perovskite materials. The present study has been complied to explore some physical properties such as mechanical, vibrational, thermo-physical, and temperature dependent thermodynamic…

Materials Science · Physics 2025-12-11 Arpon Chakraborty , M. N. H. Liton , M. S. I. Sarker , M. M. Rahman , M. K. R. Khan

Using a combination of first-principles and effective-Hamiltonian approaches, we map out the structure of BaTiO3 under epitaxial constraints applicable to growth on perovskite substrates. We obtain a phase diagram in temperature and misfit…

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 local structure of high pressure BaTiO$_3$ has been interrogated by neutron total scattering methods, up to pressures of 4.18 GPa at ambient temperature. Competitive refinements of cubic, tetragonal and rhombohedral distortion modes…

Materials Science · Physics 2022-04-06 A. Herlihy , T. A. Bird , C. J. Ridley , C. L. Bull , N. P. Funnell , M. S. Senn

An effective Hamiltonian for the ferroelectric transition in $PbTiO_3$ 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 2009-10-28 K. M. Rabe , U. V. Waghmare

Monte Carlo simulations with an effective Hamiltonian parametrized from first principles are performed to study the dielectric response of BaTiO3 as a function of temperature, with particular emphasis on the behavior of the dielectric…

Materials Science · Physics 2009-10-31 Alberto Garcia , David Vanderbilt

The phase diagram of ice Ih, II, and III is studied by a quasi-harmonic approximation. The results of this approach are compared to phase diagrams previously derived by thermodynamic integration using path integral and classical…

Chemical Physics · Physics 2012-10-16 R. Ramirez , N. Neuerburg , C. P. Herrero

We investigate the influence of quantum effects on the dielectric and piezoelectric properties of barium titanate in its (low-temperature) rhombohedral phase, and show the strongly anharmonic character of this system even at low…

Materials Science · Physics 2015-06-12 Gregory Geneste , Hichem Dammak , Marc Hayoun , Mickael Thiercelin

The structural phase diagram of the Pb-free ferroelectric (Na1/2Bi1/2)1-xBaxTiO3 (NBT-BT), x<0.1, has been explored by Raman spectroscopy at temperatures from 10 to 470 K. The data provide clear evidence for a proposed…

Materials Science · Physics 2015-05-18 Ben Wylie-van Eerd , Dragan Damjanovic , Naama Klein , Nava Setter , Joe Trodahl

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

By classical and path-integral molecular dynamics simulations, we study the pressure-temperature ($P$-$T$) phase diagram of LaH$_{10}$ to clarify the impact of temperature and atomic zero-point motions. We calculate the XRD pattern and…

Superconductivity · Physics 2022-05-31 Yuta Watanabe , Takuya Nomoto , Ryotaro Arita

We use molecular dynamics simulations for a first principles-based effective Hamiltonian to calculate two important quantities characterizing the electrocaloric effect in BaTiO$_3$, the adiabatic temperature change $\Delta T$ and the…

Materials Science · Physics 2016-02-24 Madhura Marathe , Anna Grünebohm , Takeshi Nishimatsu , Peter Entel , Claude Ederer
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