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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

We present a model for current-driven motion of a magnetic domain-wall line, in which the dynamics of the domain wall is equivalent to that of an overdamped vortex line in an anisotropic pinning potential. This potential has both extrinsic…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 R. A. Duine , C. Morais Smith

Current-driven vortex wall dynamics is studied by means of a two-dimensional analytical model and micromagnetic simulation. By constructing a trial function for the vortex wall in the magnetic wire, we analytically solve for domain wall…

Materials Science · Physics 2009-11-11 Jiexuan He , Zhanjie Li , Shufeng Zhang

The current-driven domain wall dynamics along ferrimagnetic systems are here theoretically analyzed as a function of the temperature by means of micromagnetic simulations and a one dimensional model. Contrarily to conventional effective…

Applied Physics · Physics 2019-10-23 Eduardo Martínez , Víctor Raposo , Óscar Alejos

We outline a general framework to determine the effect of non-equilibrium fluctuations on driven collective coordinates, and apply it to a current-driven domain wall in a nanocontact. In this case the collective coordinates are the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. E. Lucassen , R. A. Duine

Current-driven magnetic domain wall motion is demonstrated in the quaternary ferromagnetic semiconductor (Ga,Mn)(As,P) at temperatures well below the ferromagnetic transition temperature, with critical currents of the order 10^5Acm^-2. This…

The relation between domain wall motion and intensity of driven current is examined in a phenomenological theory where the kinetic energy is expanded as a series of polynomial function of current density just as the Landau phase transition…

Mesoscale and Nanoscale Physics · Physics 2016-01-06 Hao Yu

Taking into account the coupling between the position of the wall and an internal degree of freedom, namely its phase $\phi$, we examine, in the rigid wall approximation, the dynamics of a magnetic domain wall subject to a weak pinning…

Statistical Mechanics · Physics 2011-11-29 Vivien Lecomte , Stewart E. Barnes , Jean-Pierre Eckmann , Thierry Giamarchi

The coupling between a current and a Bloch wall is examined in the half-metal limit of the double exchange model. The conduction electrons transfer angular momentum to the Bloch wall with 100% efficiency in the absence of pinning. The wall…

Strongly Correlated Electrons · Physics 2007-05-23 S. E. Barnes , S. Maekawa

Domain wall motion along ferrimagnets is evaluated using micromagnetic simulations and a collective-coordinates model, both considering two sublattices with independent parameters. Analytical expressions are derived for strips on top of…

Applied Physics · Physics 2020-11-20 Eduardo Martínez , Víctor Raposo , Óscar Alejos

Theory of domain wall motion in a random medium is extended to the case when the driving field is below the zero-temperature depinning threshold and the creep of the domain wall is induced by thermal fluctuations. Subject to an ac drive,…

Disordered Systems and Neural Networks · Physics 2009-11-07 T. Nattermann , V. Pokrovsky , V. M. Vinokur

We study current-induced domain-wall dynamics in a thin ferromagnetic nanowire. The domain-wall dynamics is described by simple equations with four parameters. We propose the procedure to determine these parameters by all-electric…

Mesoscale and Nanoscale Physics · Physics 2011-08-29 Y. Liu , Oleg A. Tretiakov , Ar. Abanov

Thermal vector potential formulation is applied to study thermal dynamics of magnetic structures in insulating ferromagnets. By separating variables of the magnetic structure and magnons, the equation of motion for the structure including…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 Gen Tatara

We employ the Landau-Lifshitz-Bloch (LLB) equation to investigate current-induced domain wall motion at finite temperatures by numerical micromagnetic simulations. We extend the LLB equation with spin torque terms that account for the…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 C. Schieback , D. Hinzke , M. Klaui , U. Nowak , P. Nielaba

This review describes in detail the essential techniques used in microscopic theories on spintronics. We have investigated the domain wall dynamics induced by electric current based on the $s$-$d$ exchange model. The domain wall is treated…

Mesoscale and Nanoscale Physics · Physics 2008-11-07 Gen Tatara , Hiroshi Kohno , Junya Shibata

Microscopic theory of domain wall dynamics under electric current is reviewed. Domain wall is treated as rigid and planar. The spin-transfer torque and forces on the wall are derived based on the $s$-$d$ exchange interaction between…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Gen Tatara , Hiroshi Kohno , Junya Shibata

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 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

Nucleation of domain walls by current-driving a single domain wall, confined to the junction area of two symmetrical strips, is investigated using systematic micromagnetic simulations. Secondary domain walls (equivalently, bits encoded in…

Materials Science · Physics 2024-01-25 David Osuna Ruiz , Óscar Alejos , Víctor Raposo , Eduardo Martínez

The dynamics of a 90$^{\circ }$ domain wall in an antiferromagnetic nanostrip driven by the current-induced spin-orbital torque are theoretically examined in the presence of random thermal fluctuations. A soliton-type equation of motion is…

Materials Science · Physics 2019-06-26 Yuriy G. Semenov , Xinyi Xu , Ki Wook Kim
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