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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

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

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

For over 70 years, ferroelectric materials have been remaining one of the central research topics for condensed matter physics and material science, the interest driven both by fundamental science and applications. However, ferroelectric…

Materials Science · Physics 2016-12-28 Sergei V. Kalinin , Yunseok Kim , Dillon Fong , Anna Morozovska

We consider ferroelectric phase transitions in both short-circuited and biased ferroelectric-semiconductor films with a space (depletion) charge which leads to some unusual behavior. It is shown that in the presence of the charge the…

Statistical Mechanics · Physics 2009-10-31 A. M. Bratkovsky , A. P. Levanyuk

Nonlinear electrostatic interaction between the surface ions of electrochemical nature and ferroelectric dipoles gives rise to the coupled ferroionic states in nanoscale ferroelectrics. Here, we investigated the role of the surface ions…

Phase-field simulation (PFS) have revolutionized the understanding of domain structure and switching behavior in ferroelectric thin films and ceramics. Generally, PFS is based on solution of a (set) of Ginzburg-Landau equations for a…

Materials Science · Physics 2017-01-04 Ye Cao , Sergei V. Kalinin

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

In this paper, we present a microscopic model for heterogeneous ferroelectric and an order parameter for relaxor phase. We write a Landau theory based on this model and its application to ferroelectric PbFe$_{1/2}$Ta$_{1/2}$O$_3$ (PFT) and…

Materials Science · Physics 2009-11-10 S. A. Prosandeev , I. P. Raevski , U. V. Waghmare

Ferroelectric ordering in liquids is a fundamental question of physics. Here, we show that ferroelectric ordering of the molecules causes formation of recently reported splay nematic liquid-crystalline phase. As shown by dielectric…

The electronic functionality of thin films is governed by their interfaces. This is very important for the ferroelectric (FE) state which depends on thin-film clamping and interfacial charge transfer. Here we show that in a heterostructure…

Mesoscale and Nanoscale Physics · Physics 2020-02-24 Michael Huth , Achim Rippert , Roland Sachser , Lukas Keller

We explore the impact of the flexoelectric effect and Vegard effect (chemical pressure) on the phase diagrams, long-range polar order and related physical properties of the spherical ferroelectric nanoparticles using…

Materials Science · Physics 2015-10-26 Anna N. Morozovska , Maya D. Glinchuk

Pressure-induced polarization switching in ferroelectric thin films has emerged as a powerful method for domain patterning, allowing to create predefined domain patterns on free surfaces and under thin conductive top electrodes. However,…

Materials Science · Physics 2017-12-06 Ye Cao , Anna Morozovska , Sergei V. Kalinin

An {\it atomistic} approach allowing an accurate and efficient treatment of depolarizing energy and field in {\it any} low-dimensional ferroelectric structure is developed. Application of this approach demonstrates the limits of the widely…

Materials Science · Physics 2015-06-25 I. Ponomareva , I. I. Naumov , I. Kornev , Huaxiang Fu , L. Bellaiche

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

The phase behavior of a large but finite Ising ferromagnet in the presence of competing surface magnetic fields +/- H_s is studied by Monte Carlo simulations and by phenomenological theory. Specifically, the geometry of a double pyramid of…

Statistical Mechanics · Physics 2009-11-11 A. Milchev , M. Mueller , K. Binder

We have investigated the field-induced-changes in both the magnetization and the polarization in ferromagnet/Insulator/ferroelectric (FM/I/FE) multilayer by following both the Stoner-Wohlfarth (SW) model and the Landau theory. It has been…

Materials Science · Physics 2012-01-13 Hui Zhang

In the framework of the thermodynamic approach Landau-Ginzburg-Devonshire (LGD) combined with the equations of electrostatics, we investigated the effect of polarization surface screening on finite size effects of the phase diagrams, polar…

Composite multiferroics, heterostructures of ferromagnetic (FM) and ferroelectric (FE) materials, are characterized by a remarkable magnetoelectric effect at the interface. Previous work has supported the ferromagnetic structure with…

Mesoscale and Nanoscale Physics · Physics 2016-04-01 Zidong Wang , Malcolm J. Grimson

Using direct variational method with 2-parametric trial function and Landau-Ginzburg-Devonshire thermodynamical approach, we derived analytical expressions for polarization spatial redistribution in the ferroelectrics caused by the biased…

Materials Science · Physics 2010-04-16 Anna N. Morozovska
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