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We report the existence of a new regime for domain wall motion in uniaxial and near-uniaxial ferromagnetic nanowires, characterised by applied magnetic fields sufficiently strong that one of the domains becomes unstable. There appears a new…

Mesoscale and Nanoscale Physics · Physics 2020-02-05 Arseni Goussev , JM Robbins , Valeriy Slastikov , Sergiy Vasylkevych

We develop a systematic asymptotic description for domain wall motion in one-dimensional magnetic nanowires under the influence of small applied magnetic fields and currents and small material anisotropy. The magnetization dynamics, as…

Materials Science · Physics 2013-10-17 Arseni Goussev , Ross G. Lund , JM Robbins , Valeriy Slastikov , Charles Sonnenberg

We study the dynamics of a domain wall under the influence of applied magnetic fields in a one-dimensional ferromagnetic nanowire, governed by the Landau--Lifshitz--Gilbert equation. Existence of travelling-wave solutions close to two known…

Analysis of PDEs · Mathematics 2016-05-30 Ross G. Lund , J. M. Robbins , Valeriy Slastikov

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

Motivated by the difference between the dynamics of magnetization textures in ferromagnets and antiferromagnets, the Landau-Lifshitz equation of motion is explored. A typical one-dimensional domain wall in a bulk ferromagnet with biaxial…

Materials Science · Physics 2020-03-25 Ricardo Rama-Eiroa , Rubén M. Otxoa , Pierre E. Roy , Konstantin Y. Guslienko

This paper reports the solution of the equation of motion for a domain wall in a magnetic material which exhibits high magneto-crystalline anisotropy. Starting from the Landau-Lifschitz-Gilbert equation for field-induced motion, we solve…

Other Condensed Matter · Physics 2008-12-10 M. C. Hickey

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…

Optimization and Control · Mathematics 2016-08-16 Gilles Carbou , Stéphane Labbé , Emmanuel Trélat

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

This article is concerned with the dynamics of magnetic domain walls (DWs) in nanowires as solutions to the classical Landau-Lifschitz-Gilbert equation augmented by a typically non-variational Slonczewski term for spin-torque effects.…

Mathematical Physics · Physics 2020-12-03 Jens D. M. Rademacher , Lars Siemer

The motion of domain walls in ferromagnetic, cylindrical nanowires is investigated numerically by solving the Landau-Lifshitz-Gilbert equation for a classical spin model in which energy contributions from exchange, crystalline anisotropy,…

Condensed Matter · Physics 2009-11-10 R. Wieser , U. Nowak , K. D. Usadel

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

Dynamics of magnetization domain walls (DWs) in thin ferromagnetic nanotubes subject to longitudinal external fields is addressed analytically in the regimes of strong and weak penalization. Explicit functional forms of the DW profiles and…

Materials Science · Physics 2014-04-14 Arseni Goussev , JM Robbins , Valeriy Slastikov

Searching for new methods controlling antiferromagnetic (AFM) domain wall is one of the most important issues for AFM spintronic device operation. In this work, we study theoretically the domain wall motion of an AFM nanowire, driven by the…

Applied Physics · Physics 2020-02-26 D. L. Wen , Z. Y. Chen , W. H. Li , M. H. Qin , D. Y. Chen , Z. Fan , M. Zeng , X. B. Lu , X. S. Gao , J. M. Liu

Recent analytical and numerical work on field driven domain wall propagation in nanowires has shown that for large transverse anisotropy and sufficiently large applied fields the Walker profile becomes unstable before the breakdown field,…

Mesoscale and Nanoscale Physics · Physics 2015-10-19 M. C. Depassier

Under a magnetic field along its axis, domain wall motion in a uniaxial nanowire is much slower than in the fully anisotropic case, typically by several orders of magnitude (the square of the dimensionless Gilbert damping parameter).…

Materials Science · Physics 2013-08-20 Arseni Goussev , Ross G. Lund , J. M. Robbins , Valeriy Slastikov , Charles Sonnenberg

In order to explain recent experiments reporting a motion of magnetic domain walls (DW) in nanowires carrying a current, we propose a modification of the spin transfer torque term in the Landau-Lifchitz-Gilbert equation. We show that it…

Materials Science · Physics 2015-06-24 A. Thiaville , Y. Nakatani , J. Miltat , Y Suzuki

We investigate field-driven domain wall (DW) propagation in magnetic nanowires in the framework of the Landau-Lifshitz-Gilbert equation. We propose a new strategy to speed up the DW motion in a uniaxial magnetic nanowire by using an optimal…

Materials Science · Physics 2015-05-14 Z. Z. Sun , J. Schliemann

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

Analytical multi-domain solutions to the dynamical (Landau-Lifshitz-Gilbert) equation of a one-dimensional ferromagnet including an external magnetic field and spin-polarized electric current are found using the Hirota bilinearization…

Mesoscale and Nanoscale Physics · Physics 2011-09-13 Andrzej Janutka

Directed motion of domain walls (DWs) in a classical biaxial ferromagnet placed under the influence of periodic unbiased external magnetic fields is investigated. Using the symmetry approach developed in this article the necessary…

Pattern Formation and Solitons · Physics 2011-02-15 Yaroslav Zolotaryuk , Maxim M. Osmanov
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