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Related papers: Current-induced domain wall motion including therm…

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The current-induced magnetisation dynamics in a ferromagnet at elevated temperatures can be described by the Landau--Lifshitz--Bloch (LLB) equation with spin-torque terms. In this paper, we focus on the regime above the Curie temperature.…

Numerical Analysis · Mathematics 2025-06-30 Agus L. Soenjaya

Starting from the stochastic Landau-Lifschitz-Gilbert equation, we derive Langevin equations that describe the nonzero-temperature dynamics of a rigid domain wall. We derive an expression for the average drift velocity of the domain wall as…

Materials Science · Physics 2009-11-11 R. A. Duine , A. S. Nunez , A. H. MacDonald

Magnetic domain wall (DW) motion induced by a localized Gaussian temperature profile is studied in a Permalloy nanostrip within the framework of the stochastic Landau-Lifshitz-Bloch equation. The different contributions to thermally induced…

Mesoscale and Nanoscale Physics · Physics 2017-02-23 Simone Moretti , Victor Raposo , Eduardo Martinez , Luis Lopez-Diaz

In this work, we derive the Landau-Lifshitz-Bloch equation accounting for the multi-domain antiferromagnetic (AFM) lattice at finite temperature, in order to investigate the domain wall (DW) motion, the core issue for AFM spintronics. The…

Materials Science · Physics 2019-07-03 Z. Y. Chen , Z. R. Yan , M. H. Qin , J. M. Liu

We derive the thermomagnonic torque associated with smooth magnetic textures subjected to a temperature gradient, in the framework of the stochastic Landau-Lifshitz-Gilbert equation. Our approach captures on equal footing two distinct…

Mesoscale and Nanoscale Physics · Physics 2015-10-30 Se Kwon Kim , Yaroslav Tserkovnyak

Threshold current of domain wall motion under spin-polarized electric current in ferromagnets is theoretically studied based on the equation of motion of a wall in terms of collective coordinates. Effects of non-adiabaticity and a so-called…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Gen Tatara , Toshihiko Takayama , Hiroshi Kohno , Junya Shibata , Yoshinobu Nakatani , Hidetoshi Fukuyama

In conventional micromagnetism magnetic domain configurations are calculated based on a continuum theory for the magnetization which is assumed to be of constant length in time and space. Dynamics is usually described with the…

Materials Science · Physics 2008-05-05 O. Chubykalo-Fesenko , U. Nowak , R. W. Chantrell , D. Garanin

The Landau--Lifshitz--Bloch (LLB) equation is a formulation of dynamic micromagnetics valid at all temperatures, treating both the transverse and longitudinal relaxation components important for high-temperature applications. We study LLB…

Analysis of PDEs · Mathematics 2016-05-18 Kim Ngan Le

Current-induced domain wall motion in magnetic nanowires is affected by thermal fluctuation. In order to account for this effect, the Landau-Lifshitz-Gilbert equation includes a thermal fluctuation field and literature often utilizes the…

Mesoscale and Nanoscale Physics · Physics 2010-10-22 Kyoung-Whan Kim , Hyun-Woo Lee

Current induced domain wall (DW) motion in perpendicularly magnetized nanostripes in the presence of spin orbit torques is studied. We show using micromagnetic simulations that the direction of the current induced DW motion and the…

Materials Science · Physics 2015-06-17 O. Boulle , L. D. Buda-Prejbeanu , E. Jué , I. M. Miron , G. Gaudin

A theoretical model based on the Landau-Lifshitz-Bloch equation is developed to study the spin-torque effect in ferrimagnets. Experimental findings, such as the temperature dependence, the peak in spin torque, and the angular-momentum…

Materials Science · Physics 2018-11-21 Zhifeng Zhu , Xuanyao Fong , Gengchiau Liang

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

We study the dynamics of a magnetic domain wall, inserted in, or juxtaposed to, a conventional superconductor, via the passage of a spin polarized current through a FSF junction. Solving the Landau-Lifshitz-Gilbert equation of motion for…

Superconductivity · Physics 2015-06-03 P. D. Sacramento , L. C. Fernandes Silva , G. S. Nunes , M. A. N. Araujo , V. R. Vieira

An extended Landau-Lifshitz-Gilbert (LLG) equation is introduced to describe the dynamics of inhomogeneous magnetization in a current-carrying wire. The coefficients of all the terms in this equation are calculated quantum-mechanically for…

Materials Science · Physics 2009-11-13 D. M. Edwards , O. Wessely

Spin torques play a crucial role in operative properties of modern spintronic devices. To study current-driven magnetization dynamics, spin-torque terms providing the action of spin-polarized currents have previously often been added in a…

Materials Science · Physics 2018-12-26 Ritwik Mondal , Marco Berritta , Peter M. Oppeneer

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 examine theoretically the role of spin-waves on current-induced domain wall dynamics in a ferromagnetic wire. At room temperature, we find that an interaction between the domain wall and the spin waves appears when there is a finite…

Materials Science · Physics 2015-05-13 Yann Le Maho , Joo Von Kim , Gen Tatara

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

The dynamics of magnetisation in a bounded ferromagnet in $\mathbb{R}^d$ ($d=1,2$) at high temperatures can be described by the stochastic Landau--Lifshitz--Bloch (sLLB) equation, which is a vector-valued quasilinear stochastic partial…

Numerical Analysis · Mathematics 2026-02-23 Agus L. Soenjaya

Theoretically, we study the dynamics of a current induced domain wall in the bi-layer structure consists of a ferromagnetic layer and a non-magnetic metal layer with strong spin-orbit coupling in the presence of spin-Hall effect. The…

Materials Science · Physics 2015-05-21 R. Arun , P. Sabareesan , M. Daniel
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