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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

While $Hf_{0.5}Zr_{0.5}O_2$ (HZO) thin films hold significant promise for modern nanoelectronic devices, a comprehensive understanding of the interplay between their polycrystalline structure and electrical properties remains elusive. Here,…

Materials Science · Physics 2025-01-10 Kévin Alhada-Lahbabi , Brice Gautier , Damien Deleruyelle , Grégoire Magagnin

The behavior of ferroelectricity at the nanoscale is the focus of increasing research activity because of intense interest in the fundamental nature of spontaneous order in condensed-matter systems and because of the many practical…

A Landau-Ginsburg-Devonshire-type nonlinear phenomenological theory is presented, which enables the thermodynamic description of dense laminar polydomain states in epitaxial ferroelectric thin films. The theory explicitly takes into account…

Materials Science · Physics 2007-05-23 V. G. Koukhar , N. A. Pertsev , R. Waser

Interfacial ferroelectricity offers a promising platform for ultrafast, low-power memory devices. While previous studies have demonstrated the importance of domain wall in polarization switching, the coexistence of various domain wall types…

Materials Science · Physics 2025-12-24 Hao-Wen Xu , Wen-Cheng Fan , Jun-Ding Zheng , Cheng-Shi Yao , Ni Zhong , Wen-Yi Tong , Chun-Gang Duan

Understanding and controlling the motion, stability, and equilibrium configuration of ferroelectric domain walls is key for their integration into potential nanoelectronics applications, such as ferroelectric racetrack memories. Using…

Disordered Systems and Neural Networks · Physics 2022-01-05 Guillaume Rapin , Sophia Ehrensperger , Cédric Blaser , Nirvana Caballero , Patrycja Paruch

Magnetic nano-objects possess great potential for more efficient data processing, storage and neuromorphic type of applications. Using high perpendicular magnetic anisotropy synthetic antiferromagnets in the form of multilayer-based…

General energy approaches have been applied to study the single-domain polarization reversal induced by the voltage-modulated Atomic Force Microscopy (AFM) in ferroelectric single crystals and thin films. Topographic analysis of energy…

Materials Science · Physics 2009-11-10 A. Yu. Emelyanov

We study the domain structure in ferroelectric thin films with a `passive' layer (material with damaged ferroelectric properties) at the interface between the film and electrodes within a continuous medium approximation. An abrupt…

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

We investigate the formation of stable one-dimensional N\'eel walls in a ferromagnetic slab with finite thickness and finite width. Taking into account the dipolar, the exchange and the uniaxial anisotropic crystalline field interactions,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Rafael M. Fernandes , Harry Westfahl , Rogério Magalhães-Paniago , Leticia N. Coelho

This study presents a meshfree two-dimensional fractional-order Element-Free Galerkin (2D f-EFG) method as a viable alternative to conventional mesh-based FEM for a numerical solution of (spatial) fractional-order differential equations…

Numerical Analysis · Mathematics 2025-10-31 Shubham Desai , Malapeta Hemasundara Rao , Sai Sidhardh

This study presents the analytical and finite element formulation of a geometrically nonlinear and fractional-order nonlocal model of an Euler-Bernoulli beam. The finite nonlocal strains in the Euler-Bernoulli beam are obtained from a…

Numerical Analysis · Mathematics 2020-06-22 Sai Sidhardh , Sansit Patnaik , Fabio Semperlotti

We study existence and properties of one-dimensional edge domain walls in ultrathin ferromagnetic films with uniaxial in-plane magnetic anisotropy. In these materials, the magnetization vector is constrained to lie entirely in the film…

Analysis of PDEs · Mathematics 2018-02-07 Ross G. Lund , Cyrill B. Muratov , Valeriy V. Slastikov

Atomic-scale ferroelectrics are of great interest for high-density electronics, particularly field-effect transistors, low-power logic, and nonvolatile memories. We devised a film with a layered structure of bismuth oxide that can stabilize…

Using machine learning methods, we explore different types of domain walls in the recently unveiled single-element ferroelectric, the bismuth monolayer [Nature 617, 67 (2023)]. Remarkably, our investigation reveals that the charged domain…

Materials Science · Physics 2026-03-04 Wei Luo , Yang Zhong , Hongyu Yu , Muting Xie , Yingwei Chen , Hongjun Xiang , Laurent Bellaiche

Phase field modeling of domain structures in ferroelectrics nanorods of different shape and sizes is presented. The vortex domain configurations in confined ferroelectrics have been explored by varying the ratio of the energies of…

Materials Science · Physics 2007-06-25 Julia Slutsker , Andrei Artemev , Alexander L. Roytburd

Field-induced domain wall dynamics in ferroelectric materials underpins multiple applications ranging from actuators to information technology devices and necessitates a quantitative description of the associated mechanisms including giant…

Disordered Systems and Neural Networks · Physics 2021-05-18 Yongtao Liu , Roger Proksch , Chun Yin Wong , Maxim Ziatdinov , Sergei V. Kalinin

In the framework of the Landau-Ginzburg-Devonshire (LGD) approach, we studied the possibility of controlling the polarity and chirality of equilibrium domain structures by a homogeneous external electric field in a nanosized ferroelectric…

Domain walls are ubiquitous in materials that undergo phase transitions driven by spontaneous symmetry breaking. Domain walls in ferroics and multiferroics have received tremendous attention recently due to their emergent properties…

Flexoelectricity is characterised by the coupling of the gradient of the deformation and the electrical polarization in a dielectric material. A novel micromorphic approach is presented to accommodate the resulting higher-order gradient…

Classical Physics · Physics 2023-07-19 Andrew McBride , Denis Davydov , Paul Steinmann
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