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Related papers: Higher-order Landau-Devonshire theory for BaTiO3

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We have studied the Devonshire-Landau potential underlying the phase transition sequence of BaTiO3 using the first-principles effective Hamiltonian of Zhong, Vanderbilt, and Rabe [Phys. Rev. Lett. 73, 1861 (1994)], which has been very…

Materials Science · Physics 2013-01-09 Jorge Iniguez , S. Ivantchev , J. M. Perez-Mato , Alberto Garcia

In the paper, the description of the dielectric and ferroelectric properties of BaTiO_3 single crystals using Landau thermodynamic potential is addressed. Our results suggest that when using the sixth-power free energy expansion of the…

Statistical Mechanics · Physics 2009-11-13 Y. L. Wang , A. K. Tagantsev , D. Damjanovic , N. Setter , V. K. Yarmarkin , A. I. Sokolov , I. A. Lukyanchuk

The work describes a first-principles-based computational strategy for studying structural phase transitions, and in particular, for determination of the so-called Landau-Devonshire potential - the classical zero-temperature limit of the…

Materials Science · Physics 2017-11-22 Pavel Marton , Antonín Klíč , Marek Paściak , Jiří Hlinka

By analyzing the dielectric non-linearity with the Landau thermodynamic expansion, we find a simple and direct way to assess the importance of the eighth order term. Following this approach, it is demonstrated that the eighth order term is…

Materials Science · Physics 2009-11-11 Y. L. Wang , A. K. Tagantsev , D. Damjanovic , N. Setter , V. K. Yarmarkin , A. I. Sokolov

The Landau theory of 180 degrees domain walls in BaTiO3 type ferroelectric particles is presented. Results of exact description of domain walls in bulk enabled us to formulate variational approach to theory of domain walls in corresponding…

Materials Science · Physics 2021-08-17 Ondrej Hudak , Matej Hudak

The experimentally observed temperature dependence of the quartic coefficients in the Landau-Devonshire expansion for BaTiO_3 is naturally accounted for within a proper fluctuation model. It is explained, in particular, why one of the…

Statistical Mechanics · Physics 2009-11-07 A. I. Sokolov , A. K. Tagantsev

In this work we introduce the simplest, lowest-order Landau-like potential for BiFeO$_3$ and La-doped BiFeO$_3$ as an expansion around the paraelectric cubic phase in powers of polarization, FeO$_6$ octahedral rotations and strains. We…

Materials Science · Physics 2022-11-17 Natalya S. Fedorova , Dmitri E. Nikonov , Hai Li , Ian A. Young , Jorge Íñiguez

An analytical theory is developed for predicting the nonlinear susceptibility of ionic polarization to continuous electromagnetic waves in both bulk and strained thin film ferroelectrics. Using a perturbation method for solving the…

Materials Science · Physics 2025-11-04 Yujie Zhu , Taorui Chen , Aiden Ross , Bo Wang , Xiangwei Guo , Venkatraman Gopalan , Long-Qing Chen , Jia-Mian Hu

A phenomenological theory has been proposed for the diffusionless structural phase transitions in crystalline solids here. It has been found that for BaTiO3 single crystal, both the phase transitions and the crystal structures can be…

Materials Science · Physics 2012-10-02 Hui Zhang

Mechanically compatible and electrically neutral domain walls in tetragonal, orthorhombic and rhombohedral ferroelectric phases of BaTiO3 are systematically investigated in the framework of the phenomenological Ginzburg-Landau-Devonshire…

Materials Science · Physics 2012-12-03 P. Marton , I. Rychetsky , J. Hlinka

The Landau potentials of $W_3$-algebra models are analyzed with algebraic-geometric methods. The number of ground states and the number of independent perturbations of every potential coincide and can be computed. This number agrees with…

High Energy Physics - Theory · Physics 2008-11-26 Jose Gaite

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

The unexpected emergence of ferroelectricity in HfO2 at reduced dimensions has attracted considerable attention, as it provides a pathway toward the realization of ultrasmall ferroelectric devices. Ab initio calculations suggest that this…

Materials Science · Physics 2025-12-19 Yusuke Tamura , Kairi Masuda , Yu Kumagai

Devonshire theory provides a successful phenomenological description of many cubic perovskite ferroelectrics such as BaTiO3 via a sixth-order expansion of the free energy in the polar order parameter. However, the recent discovery of a…

Materials Science · Physics 2009-10-31 David Vanderbilt , Morrel H. Cohen

Correct phenomenological description of ferroelectric phase transitions in barium titanate requires accounting for eighth-order terms in the free energy expansion, in addition to the conventional sixth-order contributions. Another unusual…

Materials Science · Physics 2009-11-13 A. I. Sokolov

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…

Materials Science · Physics 2014-12-08 Hong-Jian Feng

The ferroelectric property of BaTiO$_3$ crystal arises from the strong Pseudo Jahn-Teller (PJT) interactions between the non-degenerate ground electronic state, $^1A_{1g}$ and the degenerate $^1T_{1u}$ symmetry states through the nuclear…

Materials Science · Physics 2025-05-06 Mantu Kumar Sah , Soumya Mukherjee , Satyam Ravi , Satrajit Adhikari

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

Macroscopic modelling of ferroelectric properties refers usually to Landau-Ginzburg-Devonshire theory. This paper questions the meaningfulness of this term, discussing contributions of the three authors to what is supposed to be a theory.…

Materials Science · Physics 2020-08-17 Arkady P. Levanyuk , I. Burc Misirlioglu , M. Baris Okatan

A phenomenological thermodynamic potential was constructed based on the symmetry analysis and property characterization of bulk DyCo2. An eight-order polynomial of Landau expansion was employed to describe the thermodynamic behavior of…

Materials Science · Physics 2017-04-19 Dongyan Zhang , Chao Zhou , Sen Yang , Zhimin Li , Xiaoping Song
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