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The Landau theory of phase transitions has been re-examined under the framework of a modified mean field theory in ferroelectrics. By doing so, one can see that there are two atomic movements involved in the ferroelectric phase transition;…

Statistical Mechanics · Physics 2017-03-29 John Y. Fu

A mechanically coupled phase-field model is proposed for the first time to simulate the peculiar behavior of relaxor ferroelectrics. Based on the random field theory for relaxors, local random fields are introduced to characterize the…

Materials Science · Physics 2016-10-23 Shuai Wang , Min Yi , Bai-Xiang Xu

The traditional derivation of the elastic anomalies associated with ferroelectric (FE) phase transitions in the framework of the Landau theory is combined with the piezoelectric constitutive relations instead of being explicitly carried out…

Materials Science · Physics 2016-05-25 F. Cordero , F. Craciun , F. Trequattrini , C. Galassi

At variance with structural ferroic phase transitions which give rise to macroscopic tensors coupled to macroscopic fields, criteria defining antiferroelectric (AFE) phase transitions are still under discussion due to the absence of…

Materials Science · Physics 2016-07-13 Pierre Tolédano , Mael Guennou

Ferroelectrics and antiferroelectrics are the electric counterparts of ferromagnets and antiferromagnets. These materials undergo temperature- and electric-field-induced phase transitions that give rise to their characteristic hysteresis…

Historically, the soft mode theory of ferroelectric phase transitions has been developed for the high-temperature (paraelectric) phase, where the phonon mode softens upon decreasing the temperature. In the low-temperature ferroelectric…

Materials Science · Physics 2021-03-19 Luigi Casella , Alessio Zaccone

The study of critical phenomena and phase transitions is an important part of modern condensed matter physics. In this regard, the phenomenological Landau theory has been extraordinarily useful. Hereby we present an alternative theoretical…

Statistical Mechanics · Physics 2014-02-24 Yi Wang , Long-Qing Chen , Zi-Kui Liu

The boundary conditions, customarily used in the Landau-type approach to ferroelectric thin films and nanostructures, have to be modified to take into account that a surface of a ferroelectric (FE) is a defect of the ``field'' type. The…

Materials Science · Physics 2009-11-10 A. M. Bratkovsky , A. P. Levanyuk

The structural phase transition in hexagonal BaMnO$_3$ occurring at $T_c$=130 K was studied in ceramic samples using electron and X-ray diffraction, second harmonic generation as well as by dielectric and lattice dynamic spectroscopies. The…

Nanoscale polarization switching in ferroelectric materials by Piezoresponse Force Microscopy (PFM) in weak and strong indentation limits is analyzed using exact solutions for electrostatic and coupled electroelastic fields below the tip.…

Materials Science · Physics 2009-11-10 Sergei V. Kalinin , A. Gruverman , J. Shin , A. P. Baddorf , E. Karapetian , M. Kachanov

We study a dynamic model of relaxor ferroelectrics based on the spherical random-bond---random-field model and the Langevin equations of motion. The solution to these equations is obtained in the long-time limit where the system reaches an…

Disordered Systems and Neural Networks · Physics 2009-10-31 R. Pirc , R. Blinc , V. Bobnar

Phase diagram of solid solutions of antiferroelectric and ferroelectric materials like PbZr$_{1-x}$Ti$_x$O$_3$ (PZT), Rb$_x$(NH$_4$)$_{1-x}$H$_2$PO$% _4$ (RADP) is calculated at the region $x\leq 0.1$. Antiferroelectric and ferroelectric…

Materials Science · Physics 2007-05-23 V. A. Stephanovich , M. D. Glinchuk , L. Jastrabik

We suggest a random field based model for calculation of physical properties of mixed ferroelectric relaxors. Our model naturally incorporates the different orientations of electric dipoles (related to different solid solution components)…

Materials Science · Physics 2007-05-23 M. D. Glinchuk , E. A. Eliseev , V. A. Stephanovich , B. Hilczer

In this special issue of Physica A in memory of Professor Dietrich Stauffer, I first recall my impression on him while being his postdoc for a year at HLRZ. In the following scientific part, I discuss the theory of soft phonons with quartic…

Statistical Mechanics · Physics 2021-02-03 Jian-Sheng Wang

Relaxor ferroelectrics have been a focus of intense attention due to their anomalous dielectric characteristics, diffuse phase transitions, and strong piezoelectricity. Understanding the structure and dynamics of relaxors has been one of…

Materials Science · Physics 2013-12-09 Hiroyuki Takenaka , Ilya Grinberg , Andrew M. Rappe

The boundary conditions, customarily used in the Landau-type approach to ferroelectric thin films and nanostructures, have to be modified to take into account that a surface of a ferroelectric (FE) is a defect of a ``field'' type. The…

Materials Science · Physics 2007-05-23 A. M. Bratkovsky , A. P. Levanyuk

Introducing structural and/or chemical heterogeneity into otherwise ordered crystals can dramatically alter material properties. Lead-based relaxor ferroelectrics are a prototypical example, with decades of investigation having connected…

Understanding the appearance of commensurate and incommensurate modulations in perovskite antiferroelectrics (AFEs) is of great importance for material design and engineering. The dielectric and elastic properties of the AFE domain…

Materials Science · Physics 2020-09-09 Zhen Liu , Bai-Xiang Xu

Many materials exhibit nanoscale phase separation, when inside the host thermodynamic phase there arise nanosize embryos of another thermodynamic phase. A prominent example of this phenomenon is provided by ferroelectric materials. The…

Mesoscale and Nanoscale Physics · Physics 2016-12-13 V. I. Yukalov , E. P. Yukalova

Relaxor ferroelectrics are complex oxide materials which are rather unique to study the effects of compositional disorder on phase transitions. Here, we study the effects of quenched cubic random electric fields on the lattice instabilities…

Materials Science · Physics 2017-06-14 J. R. Arce-Gamboa , G. G. Guzmán-Verri
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