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Related papers: Inhomogeneous domain walls in spintronic nanowires

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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

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

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 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

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 propose a Hamiltonian dynamics formalism for the current and magnetic field driven dynamics of ferromagnetic and antiferromagnetic domain walls in one dimensional systems. To demonstrate the power of this formalism, we derive Hamilton…

Mesoscale and Nanoscale Physics · Physics 2017-05-12 Davi R. Rodrigues , Karin Everschor-Sitte , Oleg A. Tretiakov , Jairo Sinova , Ar. Abanov

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…

Materials Science · Physics 2010-04-13 Arseni Goussev , JM Robbins , Valeriy Slastikov

In a first approximation, known as the adiabatic process, the direction of the spin polarization of currents is parallel to the local magnetization vector in a domain wall. Thus the spatial variation of the direction of the spin current…

Mathematical Physics · Physics 2009-11-10 Z. Li , S. Zhang

Domain walls in antiferromagnets under a spin-polarized current present dynamical behavior that is not observed in ferromagnets, and it is tunable by the current polarization. Precessional dynamics is obtained for perpendicular spin…

Materials Science · Physics 2026-02-02 George Theodorou , Stavros Komineas

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 report a stable magnetic domain wall in a uniform ferromagnetic spin-1 condensate, characterized by the magnetization having a dark soliton profile with nonvanishing superfluid density. We find exact stationary solutions for a particular…

Quantum Gases · Physics 2021-04-21 Xiaoquan Yu , P. B. Blakie

We investigate the dynamics of spin in the axially anisotropic Landau--Lifshitz field theory with a magnetic domain wall initial condition. Employing the analytic scattering technique, we obtain the exact scattering data and reconstruct the…

Statistical Mechanics · Physics 2019-04-10 Oleksandr Gamayun , Yuan Miao , Enej Ilievski

In this work, we report analytical results on transverse domain wall (TDW) statics and field-driven dynamics in quasi one-dimensional biaxial nanowires under arbitrary uniform transverse magnetic fields (TMFs) based on the…

Mesoscale and Nanoscale Physics · Physics 2016-12-16 Jie Lu

We theoretically study the interaction of magnons, quanta of spin waves, and a domain wall in a one-dimensional easy-axis antiferromagnet in the presence of an external magnetic field applied along the easy axis. To this end, we begin by…

Mesoscale and Nanoscale Physics · Physics 2020-06-19 Pengtao Shen , Yaroslav Tserkovnyak , Se Kwon Kim

In this paper the domain wall solutions of a Ginzburg-Landau non-linear $\mathbb{S}^2$-sigma hybrid model are exactly calculated. There exist two types of basic domain walls and two families of composite domain walls. The domain wall…

High Energy Physics - Theory · Physics 2018-12-06 A. Alonso-Izquierdo , A. J. Balseyro Sebastian , M. A. Gonzalez Leon

We consider a ferromagnetic nanowire and we focus on an asymptotic regime where the Dzyaloshinskii-Moriya interaction is taken into account. First we prove a dimension reduction result via $\Gamma$-convergence that determines a limit…

Analysis of PDEs · Mathematics 2023-05-10 Raphaël Côte , Radu Ignat

The Landau-Lifshitz-Gilbert-Slonczewski equation describes magnetization dynamics in the presence of an applied field and a spin polarized current. In the case of axial symmetry and with focus on one space dimension, we investigate the…

Analysis of PDEs · Mathematics 2017-03-31 Christof Melcher , Jens D. M. Rademacher

The domain wall solutions of a Ginzburg-Landau non-linear $S^2$-sigma hybrid model are unveiled. There are three types of basic topological walls and two types of degenerate families of composite - one topological, the other…

We investigate current-driven domain wall (DW) propagation in magnetic nanowires in the framework of the modified Landau-Lifshitz-Gilbert equation with both adiabatic and nonadiabatic spin torque (NAST) terms. Contrary to the common opinion…

Materials Science · Physics 2015-05-18 Z. Z. Sun , J. Schliemann , P. Yan , X. R. Wang

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
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