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Related papers: Time-periodic N\'eel wall motions

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The motion of a N\'eel-like ${180}^{\circ}$ domain wall induced by a time-dependent staggered spin-orbit field in the layered collinear antiferromagnet Mn$_2$Au is explored. Through an effective version of the two sublattice nonlinear…

Materials Science · Physics 2022-07-20 R. Rama-Eiroa , P. E. Roy , J. M. González , K. Y. Guslienko , J. Wunderlich , R. M. Otxoa

We study the properties of domain walls and domain patterns in ultrathin epitaxial magnetic films with two orthogonal in-plane easy axes, which we call fourfold materials. In these materials, the magnetization vector is constrained to lie…

Analysis of PDEs · Mathematics 2016-04-13 Ross G. Lund , Cyrill B. Muratov

We study the Landau-Lifshitz model for the energy of multi-scale transition layers -- called "domain walls" -- in soft ferromagnetic films. Domain walls separate domains of constant magnetization vectors $m^\pm \in \mathbb{S}^2$ that differ…

Analysis of PDEs · Mathematics 2013-09-11 Lukas Döring , Radu Ignat , Felix Otto

We resolve the domain-wall structure of the model antiferromagnet $\text{Cr}_2\text{O}_3$ using nanoscale scanning diamond magnetometry and second-harmonic-generation microscopy. We find that the 180$^\circ$ domain walls are predominantly…

Mesoscale and Nanoscale Physics · Physics 2021-04-08 M. S. Wornle , P. Welter , M. Giraldo , T. Lottermoser , M. Fiebig , P. Gambardella , C. L. Degen

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…

Computational Physics · Physics 2022-12-01 Mouad Fattouhi , Felipe Garcia-Sanchez , Rocio Yanes , Victor Raposo , Eduardo Martinez , Luis Lopez-Diaz

We consider a ferromagnetic nanowire, with an energy functional E with easy-axis in the direction $e_1$, and which takes into account the Dzyaloshinskii-Moriya interaction. We consider configurations of the magnetization which are…

Analysis of PDEs · Mathematics 2025-11-26 Raphaël Côte , Guillaume Ferriere

We study the magnetic domain wall structure in magnetic bilayers (two ultrathin ferromagnetic layers separated by a non magnetic spacer) with perpendicular magnetization. Combining magnetic force and ballistic electron emission…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Amandine Bellec , Stanislas Rohart , Michel Labrune , Jacques Miltat , André Thiaville

We consider the general Landau-Lifshitz-Gilbert (LLG) dynamical theory underlying the magnetization switching rates of a thin film uniaxial magnet subject to spin-torque effects and thermal fluctuations (thermal noise). After discussing the…

Mesoscale and Nanoscale Physics · Physics 2013-08-01 D. Pinna , A. D. Kent , D. L. Stein

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…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Konstantin L. Metlov

We study current-induced dynamics of a magnetic domain wall by solving a time-dependent Schr\"{o}dinger equation combined with Landau-Lifshitz-Gilbert equation in a one-dimensional electron system coupled to localized spins. Two types of…

Mesoscale and Nanoscale Physics · Physics 2009-03-10 Daisuke Matsubayashi , Masafumi Udagawa , Masao Ogata

We theoretically study the antiferromagnetic domain wall motion actuated by an inhomogeneous external magnetic field. The Lagrangian and the equations of motion of antiferromagnetic spins under an inhomogeneous magnetic field are derived,…

Mesoscale and Nanoscale Physics · Physics 2021-02-03 Jotaro J. Nakane , Hiroshi Kohno

We consider a thin ferromagnetic layer to which an external field or a current are applied along an in plane easy axis. The perpendicular hard axis anisotropy constant is large so that the out of plane magnetization component is smaller…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 E. A. Cardenas , M. C. Depassier

The Landau-Lifshitz (L-L) equation describing the time dependence of the magnetisation vector is numerically integrated fully without any simplifying assumptions in the time domain and the magnetisation time series obtained is Fourier…

Materials Science · Physics 2009-09-25 C. Tannous , A. Fessant , J. Gieraltowski , J. P. Jay , D. Spenato , J. Langlois , H. Le Gall

We study a variational model from micromagnetics involving a nonlocal Ginzburg-Landau type energy for S^1-valued vector fields. These vector fields form domain walls, called Neel walls, that correspond to one-dimensional transitions between…

Analysis of PDEs · Mathematics 2016-02-17 Radu Ignat , Roger Moser

We present an analysis of edge domain walls in exchange-biased ferromagnetic films appearing as a result of a competition between the stray field at the film edges and the exchange bias field in the bulk. We introduce an effective…

Analysis of PDEs · Mathematics 2018-10-05 Ross G. Lund , Cyrill B. Muratov , Valeriy V. Slastikov

We focus on a special type of domain walls appearing in the Landau-Lifshitz theory for soft ferromagnetic films. These domain walls are divergence-free $S^2$-valued transition layers that connect two directions in $S^2$ (differing by an…

Analysis of PDEs · Mathematics 2016-01-20 Lukas Döring , Radu Ignat

A domain wall and spin supercurrent can coexist in magnets with easy-cone anisotropy owing to simultaneous spontaneous breaking of Z$_2$ and U(1) symmetries. Their interaction is theoretically investigated in quasi one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2016-12-28 Se Kwon Kim , Yaroslav Tserkovnyak

A multiple-time scaling analysis of the dissipative, transversely driven Landau-Lifshitz equation in presence of exchange, shape demagnetisation and week anisotropy fields is performed for a dynamic domain state. Stationary solutions of the…

patt-sol · Physics 2008-02-03 Timm Plefka

The spatiotemporal structure formation problem is investigated in the region far above the transverse ferromagnetic resonance instability. The investigations are based on the dissipative Landau-Lifshitz equation and have been performed on a…

Pattern Formation and Solitons · Physics 2007-05-23 K. Mayes , T. Plefka , H. Sauermann

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…