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In this article, we investigate a simple model of notched ferromagnetic nanowires using tools from calculus of variations and critical point theory. Specifically, we focus on the case of a single unimodal notch and establish the existence…

An analytical model for the domain wall structure in ultrathin films with perpendicular easy axis and interfacial Dzyaloshinskii-Moriya interaction, submitted to an arbitrary in-plane magnetic field, is presented. Its solution is simplified…

介观与纳米尺度物理 · 物理学 2021-04-28 Pierre Géhanne , André Thiaville , Stanislas Rohart , Vincent Jeudy

We investigate theoretically the motion of chiral N\'eel domain walls in perpendicularly magnetized systems driven by in-plane strain gradients. We show that such strain drives domain walls efficiently towards increasing tensile…

We derive a low-energy Hamiltonian for the elastic energy of a N\'eel domain wall in a thin film with in-plane magnetization, where we consider the contribution of the long-range dipolar interaction beyond the quadratic approximation. We…

统计力学 · 物理学 2009-11-07 Jaime E. Santos , Erwin Frey , Franz Schwabl

We study a variational model for transition layers in thin ferromagnetic films with an underlying functional that combines an Allen-Cahn type structure with an additional nonlocal interaction term. The model represents the magnetisation by…

偏微分方程分析 · 数学 2018-10-29 Radu Ignat , Roger Moser

A closed form analytical expression for the magnetization vector distribution within the cross-tie domain wall in an isotropic ferromagnetic thin film is given. The expression minimizes the exchange energy functional exactly, and the…

介观与纳米尺度物理 · 物理学 2009-11-07 Konstantin L. Metlov

We consider an equation modeling the evolution of a viscous liquid thin film wetting a horizontal solid substrate destabilized by an electric field normal to the substrate. The effects of the electric field are modeled by a lower order…

偏微分方程分析 · 数学 2012-07-03 Cyril Imbert , Antoine Mellet

Ferroelectrics are technologically important, with wide application in micromechanical systems, nonlinear optics, and information storage. Recent discoveries of exotic polarisation textures in these materials, which can strongly influence…

We investigate dynamic hysteresis in ferromagnetic thin films with zigzag domain walls. We introduce a discrete model describing the motion of a wall in a disordered ferromagnet with in-plane magnetization, driven by an external magnetic…

统计力学 · 物理学 2007-05-23 Benedetta Cerruti , Stefano Zapperi

We address the dynamics of magnetic domain walls in ferromagnetic nanowires under the influence of external time-dependent magnetic fields. We report a new exact spatiotemporal solution of the Landau-Lifshitz-Gilbert equation for the case…

材料科学 · 物理学 2010-04-13 Arseni Goussev , JM Robbins , Valeriy Slastikov

We investigate the problem of controlling the magnetic moment in a ferromagnetic nanowire submitted to an external magnetic field in the direction of the nanowire. The system is modeled with the one dimensional Landau-Lifschitz equation. In…

最优化与控制 · 数学 2016-08-16 Gilles Carbou , Stéphane Labbé , Emmanuel Trélat

Domain walls are of increasing interest in ferroelectrics because of their unique properties and potential applications in future nanoelectronics. However, the thickness of ferroelastic domain walls remains elusive due to the challenges in…

材料科学 · 物理学 2021-03-30 Mingqiang Li , Xiaomei Li , Yuehui Li , Heng-Jui Liu , Ying-Hao Chu , Peng Gao

N\'eel walls in soft magnetic NiFe/NiFeGa hybrid stripe structures surrounded by a NiFe film are investigated by high resolution Lorentz transmission electron microscopic imaging. An anti-parallel orientation of magnetization in 1000 nm…

介观与纳米尺度物理 · 物理学 2015-10-07 M. A. Basith , S. McVitie , T. Strache , M. Fritzsche , A. Muecklich , J. Fassbender , J. McCordy

In this paper we describe domain walls appearing in a thin, nematic liquid crystal sample subject to an external field with intensity close to the Fr\'eedericksz transition threshold. Using the gradient theory of the phase transition…

偏微分方程分析 · 数学 2018-09-05 Marcel G. Clerc , Michal Kowalczyk , Panayotis Smyrnelis

We study static 180 degree domain walls in infinite magnetic wires with bounded, $C^1$ and rotationally symmetric cross sections. We prove an existence of global minimizers for the energy of micromagnetics for any bounded $C^1$ cross…

偏微分方程分析 · 数学 2016-11-26 Davit Harutyunyan

Using multiscaling analysis, we compare the characteristic roughening of ferroelectric domain walls in PZT thin films with numerical simulations of weakly pinned one-dimensional interfaces. Although at length scales up to a length scale…

材料科学 · 物理学 2012-10-10 J. Guyonnet , E. Agoritsas , S. Bustingorry , T. Giamarchi , P. Paruch

Next-generation concepts for solid-state memory devices are based on current-driven domain wall propagation, where the wall velocity governs the device performance. It has been shown that the domain wall velocity and the direction of travel…

The switching dynamics of a single-domain BiFeO$_3$ thin films is investigated through combining the dynamics of polarization and Neel vector. The evolution of the ferroelectric polarization is described by the Landau-Khalatnikov (LK)…

介观与纳米尺度物理 · 物理学 2021-02-03 Yu-Ching Liao , Dmitri E. Nikonov , Sourav Dutta , Sou-Chi Chang , Sasikanth Manipatruni , Ian A. Young , Azad Naeemi

The low temperature negative domain wall (DW) contribution to the resistivity observed in expitaxial Fe microstructures has been investigated as a function of film thickness. The DW spin structure changes from Bloch to Neel-like with…

介观与纳米尺度物理 · 物理学 2009-10-31 U. Ruediger , J. Yu , S. S. P. Parkin , A. D. Kent

Perpendicularly magnetized nanowires exhibit distinct domain wall types depending on the geometry. Wide wires contain Bloch walls, narrow wires N\'eel walls. Here, the transition region is investigated by direct imaging of the wall…

介观与纳米尺度物理 · 物理学 2017-05-31 B. Boehm , A. Bisig , A. Bischof , G. Stefanou , B. J. Hickey , R. Allenspach