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We studied the spin torque switching of the single free layer in the thermally activated region by numerically solving the Landau-Lifshitz-Gilbert equation. We found that the temperature dependence of the switching time of the in-plane…

Mesoscale and Nanoscale Physics · Physics 2012-06-07 Tomohiro Taniguchi , Mitsutoshi Shibata , Michael Marthaler , Yasuhiro Utsumi , Hiroshi Imamura

The Landau-Lifshitz equation governing magnetization dynamics is written in terms of the amplitudes of normal modes associated with the micromagnetic system's appropriate ground state. This results in a system of nonlinear ordinary…

Other Condensed Matter · Physics 2022-01-19 S. Perna , F. Bruckner , C. Serpico , D. Suess , M. d'Aquino

We present a theory of magnetization dynamics driven by spin-polarized current in terms of the quantum master equation. In the spin coherent state representation, the master equation becomes a Fokker-Planck equation, which naturally…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Yong Wang , L. J. Sham

This article reviews basic theoretical features of Gilbert magnetization dynamics of a single domain magnetic film in the presence of Slonczewski spin-transfer torques, with and without thermal fluctuations taken into account. Rather than…

Materials Science · Physics 2007-05-23 Neil Smith

The Landau-Lifshitz-Gilbert equation yields a mathematical model to describe the evolution of the magnetization of a magnetic material, particularly in response to an external applied magnetic field. It allows one to take into account…

Numerical Analysis · Mathematics 2021-06-15 Tram Thi Ngoc Nguyen , Anne Wald

We analyze theoretically the demagnetization dynamics in a ferromagnetic model system due to the interplay of spin-orbit coupling and electron-electron Coulomb scattering. We compute the $k$-resolved electronic reduced spin-density matrix…

Materials Science · Physics 2022-08-05 Svenja Vollmar , Kai Leckron , Hans Christian Schneider

The Landau--Lifshitz--Gilbert equations for the evolution of the magnetization, in presence of an external torque, can be cast in the form of the Lorenz equations and, thus, can describe chaotic fluctuations. To study quantum effects, we…

Quantum Physics · Physics 2015-04-24 Julien Tranchida , Pascal Thibaudeau , Stam Nicolis

The interaction of coherent magnetization rotation with a system of two-level impurities is studied. Two different, but not contradictory mechanisms, the `slow-relaxing ion' and the `fast-relaxing ion' are utilized to derive a system of…

Condensed Matter · Physics 2009-10-31 Vladimir L. Safonov , H. Neal Bertram

Using the invariant operator method for an effective Hamiltonian including the radiation-spin interaction, we describe the quantum theory for magnetization dynamics when the spin system evolves nonadiabatically and out of equilibrium, $d…

Other Condensed Matter · Physics 2007-05-23 Jeongwon Ho , B. C. Choi , F. C. Khanna , Sang Pyo Kim

Spin relaxation in the ultrathin metallic films of stacked microelectronic devices is investigated on the basis of a modified Landau-Lifshitz equation of micromagnetic dynamics in which the damping torque is treated as originating from the…

Materials Science · Physics 2012-10-22 Sergey Bastrukov , Jun Yong Khoo , Boris Lukiyanchuk , Irina Molodtsova

We consider the numerical approximation of a nonlinear system of partial differential equations modeling magnetostriction in the small-strain regime consisting of the Landau--Lifshitz--Gilbert equation for the magnetization and the…

Numerical Analysis · Mathematics 2026-04-01 Martin Kružík , Hywel Normington , Michele Ruggeri

In magnetic films driven by spin-polarized currents, the perpendicular-to-plane anisotropy is equivalent to breaking the time translation symmetry, i.e., to a parametric pumping. In this work, we numerically study those current-driven…

Adaptation and Self-Organizing Systems · Physics 2021-01-14 Mónica A. García-Ñustes , Fernando R. Humire , Alejandro O. Leon

Heat assisted magnetic recording (HAMR) technology represents the most promising candidate to replace the current perpendicular recording paradigm to achieve higher storage densities. To better understand HAMR dynamics in granular media we…

Spin-orbit spin transfer torque allows an efficient control of magnetization by an in-plane current. Recent experiments found that the spin-orbit torque has strong dependence on the magnetization angle [Garello et al., Nature Nanotechnol.…

Materials Science · Physics 2016-01-20 Seo-Won Lee , Kyung-Jin Lee

Light-matter interaction allows to achieve non-equilibrium states that are otherwise inaccessible. Motivated by recent experiments that report ferroelectricity -- and even multiferroicity -- in the prototypical diamagnetic band insulator…

Materials Science · Physics 2026-02-25 Andri Darmawan , Markus E. Gruner , Rossitza Pentcheva

The Landau-Lisfhitz-Gilbert (LLG) equation has been the cornerstone of modeling the dynamics of localized spins, viewed as classical vectors of fixed length, within nonequilibrium magnets. When light is employed as the nonequilibrium drive,…

Mesoscale and Nanoscale Physics · Physics 2025-12-11 Felipe Reyes-Osorio , Branislav K. Nikolic

Microwave assisted magnetization reversal are studied in the bulk bilayer exchange coupled system. We investigate the nonlinear magnetization reversal dynamics in a perpendicular exchange spring media using Landau-Lifshitz equation. In the…

Materials Science · Physics 2015-03-10 R Tayade , A Pasko , C Serpico , F Mazaleyrat , M Lobue

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 precession in magnetic materials is commonly modelled with the classical phenomenological Landau-Lifshitz-Gilbert (LLG) equation. Based on a quantized spin+environment Hamiltonian, we here derive a general spin operator equation of…

Quantum Physics · Physics 2022-11-02 J. Anders , C. R. J. Sait , S. A. R. Horsley

The Landau-Lifshitz-Gilbert (LLG) equation is a widely used model for fast magnetization dynamics in ferromagnetic materials. Recently, the inertial LLG equation, which contains an inertial term, has been proposed to capture the ultra-fast…

Numerical Analysis · Mathematics 2022-09-13 Jingrun Chen , Panchi Li , Cheng Wang