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We express dynamics of domain walls in ferromagnetic nanowires in terms of collective coordinates generalizing Thiele's steady-state results. For weak external perturbations the dynamics is dominated by a few soft modes. The general…

Materials Science · Physics 2008-03-31 O. A. Tretiakov , D. Clarke , Gia-Wei Chern , Ya. B. Bazaliy , O. Tchernyshyov

Coherent control of domain wall dynamics offers a route to fast manipulation of magnetic textures beyond thermally activated motion. We demonstrate resonant excitation of linear and nonlinear dynamics of a pinned domain wall in a…

The ferromagnetism of a thin GaMnAs layer with a perpendicular easy anisotropy axis is investigated by means of several techniques, that yield a consistent set of data on the magnetic properties and the domain structure of this diluted…

This paper addressses the kinetics and dynamics of a family of domain wall solutions along classical antiferromagnetic Heisenberg spin chains at low energies. The equation of motion is derived and found to have long range position- and…

Materials Science · Physics 2007-05-23 Raphael Blumenfeld

We investigate magnetic domain wall (MDW) dynamics induced by applied electric fields in ferromagnetic-ferroelectric thin-film heterostructures. In contrast to conventional driving mechanisms where MDW motion is induced directly by magnetic…

Materials Science · Physics 2014-01-17 Ben Van de Wiele , Lasse Laurson , Kévin Franke , Sebastiaan van Dijken

We show that a system of a domain wall coupled to a scalar field has static negative energy density at certain distances from the domain wall. This system provides a simple, explicit example of violation of the averaged weak energy…

General Relativity and Quantum Cosmology · Physics 2010-04-05 Ken D. Olum , Noah Graham

Currently, much interest is drawn to the analysis of optical and matter-wave modes supported by the fractional diffraction in nonlinear media. We predict a new type of such states, in the form of domain walls (DWs) in the two-component…

Optics · Physics 2022-11-23 Shatrughna Kumar , Pengfei Li , Boris A. Malomed

We show that the dynamics of an Ising spin chain in a transverse field conserves the number of domains (strings of down spins in an up-spin background) at discrete times. This enables the determination of the eigenfunctions of the…

Strongly Correlated Electrons · Physics 2009-11-10 V. Subrahmanyam

Ferrofluids are a class of materials that exhibit both fluid and magnetic properties. We consider a two-phase diffuse interface model for the dynamics of ferrofluids on a bounded domain. One phase is assumed to be magnetic, the other phase…

Analysis of PDEs · Mathematics 2025-07-08 Samuel Lanthaler , Franziska Weber

The analysis of domain wall dynamics is often simplified to one dimensional physics. For domain walls in thin films, more realistic approaches require the description as two dimensional objects. This includes the study of vortices and…

Mesoscale and Nanoscale Physics · Physics 2018-04-25 Davi R. Rodrigues , Ar. Abanov , J. Sinova , K. Everschor-Sitte

We study theoretically the structure of domain walls in ferromagnetic states on Mobius strips. A two-dimensional classical Heisenberg ferromagnet with single-site anisotropy is treated within a mean-field approximation by taking into…

Statistical Mechanics · Physics 2009-11-13 Masanao Yoneya , Kazuhiro Kuboki , Masahiko Hayashi

Assumption of certain hierarchy of soft ferromagnet energy terms, realized in small enough flat nano-elements, allows to obtain explicit expressions for their magnetization distributions. By minimising the energy terms sequentially, from…

Mesoscale and Nanoscale Physics · Physics 2010-09-01 Konstantin L. Metlov

We review our recent magnetotransport and micromagnetic studies of lithographically defined epitaxial thin film structures of bcc Fe and hcp Co with stripe domains. Micromagnetic structure and resistivity anisotropy are shown to be the…

Mesoscale and Nanoscale Physics · Physics 2016-08-15 Andrew D. Kent , Ulrich Rüdiger , Jun Yu , Luc Thomas , Stuart S. P. Parkin

We consider an energy functional that arises in micromagnetic and liquid crystal theory on thin films. In particular, our energy comprises a non-convex term that models anti-symmetric exchange as well as an anisotropy term. We devise an…

Numerical Analysis · Mathematics 2025-09-30 Giovanni Di Fratta , Michael Innerberger , Dirk Praetorius , Valeriy Slastikov

We present an analytical theory to describe three-dimensional magnetic textures in perpendicularly magnetized magnetic multilayers that arise in the presence of magnetostatic interactions and the Dzyaloshinskii-Moriya interaction (DMI). We…

Materials Science · Physics 2018-09-06 Ivan Lemesh , Geoffrey S. D. Beach

In our previous work,, we studied asymptotic behavior of minimizers of the Landau-de Gennes energy functional on planar domains as the nematic correlation length converges to zero. Here we improve upon those results, in particular by…

Analysis of PDEs · Mathematics 2021-09-27 Dmitry Golovaty , Jose Alberto Montero

It is shown that the total set of equations, which determines the dynamics of the domain bounds (DB) in a weak ferromagnet, has the same type of specific solution as the well-known Walker's solution for ferromagnets. We calculated the…

Statistical Mechanics · Physics 2017-03-07 A. K. Zvezdin

Patterns of ferroic domains and domain walls are being intensively studied to implement new logic schemes. Any technological application of such objects depends on a detailed understanding of them. This study analyzes patterns of…

Materials Science · Physics 2024-01-18 Cynthia P. Quinteros , Dafne Goijman , Silvia Damerio , Julián Milano

Magnetic skyrmions are topological objects, which have recently been observed in thin films at room temperature. Sub 100-nm sizes and spin polarised current manipulation make them candidates for high density information storage and…

Mesoscale and Nanoscale Physics · Physics 2021-07-05 Laurent Ranno , Maria Alfonso Moro

Spin transport equations in a non-homogeneous ferromagnet are derived in the limit where the sd exchange coupling between the electrons in the conduction band and those in the d band is dominant. It is shown that spin diffusion in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Benakli , J. Hohlfeld , A. Rebei