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Oscillation frequency of spin torque oscillator with a perpendicularly magnetized free layer and an in-plane magnetized pinned layer is theoretically investigated by taking into account the field-like torque. It is shown that the field-like…

Mesoscale and Nanoscale Physics · Physics 2015-02-11 Tomohiro Taniguchi , Sumito Tsunegi , Hitoshi Kubota , Hiroshi Imamura

We investigate theoretically the dynamics of magnetization coupled to the surface Dirac fermions of a three dimensional topological insulator, by deriving the Landau-Lifshitz-Gilbert (LLG) equation in the presence of charge current. Both…

Mesoscale and Nanoscale Physics · Physics 2014-11-20 Takehito Yokoyama , Jiadong Zang , Naoto Nagaosa

Spin polarized current may transfer angular momentum to a ferromagnet, resulting in a spin-torque phenomenon. At the same time the shot noise, associated with the current, leads to a non-equilibrium stochastic force acting on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. L. Chudnovskiy , J. Swiebodzinski , A. Kamenev

The dynamics of magnetization near a stable equilibrium in ferromagnetic nanomagnets are examined within the Landau--Lifshitz--Gilbert (LLG) framework. For a small angle precession, the dependence of ferromagnetic resonance (FMR) frequency,…

In the framework of the Landau-Lifshitz equations without any dissipation (an approximation which may also be helpful for finite but weak Gilbert damping), with all interactions included, for general ground states, geometries and domain…

Materials Science · Physics 2016-08-31 U. Krey

The Landau-Lifshitz-Gilbert (LLG) equation, used to model magneto-dynamics in ferromagnets, tacitly assumes that the angular momentum associated with spin precession can relax instantaneously when the real or effective magnetic field…

Mesoscale and Nanoscale Physics · Physics 2021-07-20 Rahnuma Rahman , Supriyo Bandyopadhyay

Spin transport equations in a non-homogeneous ferromagnet are derived in the limit where the sd exchange coupling between the electrons in the conduction band and those in the d band is dominant. It is shown that spin diffusion in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Benakli , J. Hohlfeld , A. Rebei

Laser-induced magnetization precession measurements in ferromagnets often reveal an anomalous decrease in the damping time near a field-induced second-order spin-orientation transition, a behavior that cannot be described by the linearized…

Materials Science · Physics 2026-03-31 P. I. Gerevenkov , Ia. A. Filatov , L. A. Shelukhin , P. A. Dvortsova , A. M. Kalashnikova

The dynamics of a magnetic moment or spin are of high interest to applications in technology. Dissipation in these systems is therefore of importance for improvement of efficiency of devices, such as the ones proposed in spintronics. A…

Mesoscale and Nanoscale Physics · Physics 2023-08-29 Robin C. Verstraten , Tim Ludwig , Rembert A. Duine , Cristiane Morais Smith

We consider the Landau-Lifshitz equation for the spin torque oscillator - a uniaxial ferromagnet in an external magnetic field with polarised spin current driven through it. In the absence of the Gilbert damping, the equation turns out to…

Pattern Formation and Solitons · Physics 2020-04-22 I. V. Barashenkov , Alexander Chernyavsky

The Landau-Lifshitz-Gilbert (LLG) equation is a fascinating nonlinear evolution equation both from mathematical and physical points of view. It is related to the dynamics of several important physical systems such as ferromagnets, vortex…

Pattern Formation and Solitons · Physics 2011-01-06 M. Lakshmanan

The Landau-Lifshitz equation for the magnetization dynamics of a single-domain magnetic system is solved using the methods of self-organization. The description takes into account the torque due to spin transfer. The potential energy of the…

Materials Science · Physics 2007-05-23 P. M. Gorley , P. P. Horley , V. K. Dugaev , J. Barnas , W. Dobrowolski

Energy dissipation is studied for a hard magnetic tip that scans a soft magnetic substrate. The dynamics of the atomic moments are simulated by solving the Landau-Lifshitz-Gilbert (LLG) equation numerically. The local energy currents are…

Other Condensed Matter · Physics 2011-06-27 Martin P. Magiera , Lothar Brendel , Dietrich E. Wolf , Ulrich Nowak

Self-oscillations of the magnetization due to self-induced torque (SIT) in a magnetic double tunnel junction that consists of perpendicularly polarized, pinned and free layers is investigated along with the field-like torque (FLT). The…

Mesoscale and Nanoscale Physics · Physics 2026-01-13 R. Arun , R. Gopal , V. K. Chandrasekar , M. Lakshmanan

We theoretically investigate nonequilibrium spin fluctuations in a ferromagnet induced by a light pulse. Using a Lindblad equation consistent with the Landau-Lifshitz-Gilbert equation, we compute the autocorrelation function of…

Mesoscale and Nanoscale Physics · Physics 2025-04-03 Tetsuya Sato , Shinichi Watanabe , Mamoru Matsuo , Takeo Kato

Current-driven magnetization dynamics in ferromagnetic metals are studied in a self-consistent adiabatic local-density approximation in the presence of spin-conserving and spin-dephasing impurity scattering. Based on a quantum kinetic…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yaroslav Tserkovnyak , Hans Joakim Skadsem , Arne Brataas , Gerrit E. W. Bauer

The lack of certain crystalline symmetries in strong spin-orbit-coupled non-magnetic materials allows for the existence of uncoventional spin Hall responses, with electrically generated transverse spin currents possessing collinear flow and…

Mesoscale and Nanoscale Physics · Physics 2022-11-01 D. J. P. de Sousa , P. M. Haney , J. P. Wang , Tony Low

The relaxation phenomena of spin-torque oscillators consisting of nanostructured ferromagnets are interesting research targets in magnetism. A theoretical study on the relaxation time of a spin-torque oscillator from one self-oscillation…

Mesoscale and Nanoscale Physics · Physics 2017-07-10 Tomohiro Taniguchi , Takahiro Ito , Sumito Tsunegi , Hitoshi Kubota , Yasuhiro Utsumi

The main purpose of this paper is the analytical study of self-shrinker solutions of the one-dimensional Landau-Lifshitz-Gilbert equation (LLG), a model describing the dynamics for the spin in ferromagnetic materials. We show that there is…

Analysis of PDEs · Mathematics 2020-05-22 Susana Gutiérrez , André de Laire

We derive a continuum equation for the magnetization of a conducting ferromagnet in the presence of a spin-polarized current. Current effects enter in the form of a topological term in the Landau-Lifshitz equation . In the stationary…

Materials Science · Physics 2009-10-30 Ya. B. Bazaliy , B. A. Jones , Shou-Cheng Zhang