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A simplified model is introduced and analysed to show, that for the Landau-Lifshitz equation stable, steady state solutions of domain type exist in ferromagnetic systems, strongly driven by external transverse fields. These dynamic domain…

Condensed Matter · Physics 2007-05-23 T. Plefka

Vector Hamiltonian formalism (VHF) for the description of a weakly nonlinear magnetization dynamics has been developed. Transformation from the traditional Landau-Lifshitz equation, describing dynamics of a magnetization vector…

Materials Science · Physics 2020-11-30 Vasyl Tyberkevych , Andrei Slavin , Petro Artemchuk , Graham Rowlands

Perpendicular magnetic anisotropy (PMA) and low magnetic damping are the key factors for the free layer magnetization switching by spin transfer torque technique in magnetic tunnel junction devices. The magnetization precessional dynamics…

Materials Science · Physics 2015-05-15 B. Samantaray , Akhilesh K. Singh , A. Perumal , R. Ranganathan , P. Mandal

The Landau-Lifshitz-Gilbert (LLG) equations are widely used to study spin dynamics in Mott insulators. However, because energy dissipation is typically introduced phenomenologically, its validity for describing nonequilibrium processes and…

Strongly Correlated Electrons · Physics 2025-07-29 Rico Pohle , Yukitoshi Motome , Terumasa Tadano , Shintaro Hoshino

Using an effective Hamiltonian including the Zeeman and internal interactions, we describe the quantum theory of magnetization dynamics when the spin system evolves non-adiabatically and out of equilibrium. The Lewis-Riesenfeld dynamical…

Other Condensed Matter · Physics 2008-11-26 F. M. Saradzhev , F. C. Khanna , Sang Pyo Kim , M. de Montigny

We develop an analytical model for describing the magnetization dynamics in ferromagnetic metal nanoparticles, which is based on the coupled system of the Landau-Lifshitz-Gilbert (LLG) and Maxwell equations. By solving Maxwell's equations…

Mesoscale and Nanoscale Physics · Physics 2014-07-29 S. I. Denisov , T. V. Lyutyy , B. O. Pedchenko , H. V. Babych

In this paper we show that the spin transfer torque can be described by a pseudo magnetic field, proportional to the magnetic moment of the itinerant electrons that enters the Landau-Lifshitz-Gilbert equation in the same way as other…

Mesoscale and Nanoscale Physics · Physics 2008-11-24 Sayeef Salahuddin , Deepanjan Datta , Supriyo Datta

Antiferromagnets with vanishingly small (or zero) magnetization are interesting candidates for spintronics applications. In the present paper we propose two models for description of the current-induced phenomena in antiferromagnetic…

Mesoscale and Nanoscale Physics · Physics 2013-06-03 Helen Gomonay , Vadim Loktev

We investigate theoretically the spin torque and magnetization dynamic in a thin ferromagnetic (FM) layer with spatially varying magnetization. The FM layer is deposited on the surface of a topological insulator (TI). In the limit of the…

Mesoscale and Nanoscale Physics · Physics 2013-03-29 Ji Chen , Mansoor Bin Abdul Jalil , Seng Ghee Tan

This paper describes a robust, modular, and physics- based circuit framework to model conventional and emerging Magnetic Tunnel Junction (MTJ) devices. Magnetization dynamics are described by the stochastic Landau-Lifshitz-Gilbert (sLLG)…

Mesoscale and Nanoscale Physics · Physics 2018-08-23 Mustafa Mert Torunbalci , Pramey Upadhyaya , Sunil A. Bhave , Kerem Y. Camsari

We consider a microscopic model of itinerant electrons coupled via ferromagnetic exchange to a local magnetization whose direction vector n(r,t) varies in space and time. We assume that to first order in the spatial gradient and time…

Mesoscale and Nanoscale Physics · Physics 2014-12-08 Frederic Piechon , Andre Thiaville

A phenomenological equation called Landau-Lifshitz-Baryakhtar (LLBar) equation, which could be viewed as the combination of Landau-Lifshitz (LL) equation and an extra "exchange damping" term, was derived by Baryakhtar using Onsager's…

A macroscopic equation of motion for the magnetization of a ferromagnet at elevated temperatures should contain both transverse and longitudinal relaxation terms and interpolate between Landau-Lifshitz equation at low temperatures and the…

Statistical Mechanics · Physics 2009-10-31 D. A. Garanin

We propose a systematic and sequential expansion of the Landau-Lifshitz-Gilbert equation utilizing the dependence of the Gilbert damping tensor on the angle between magnetic moments, which arises from multi-body scattering processes. The…

Materials Science · Physics 2022-05-25 Sascha Brinker , Manuel dos Santos Dias , Samir Lounis

Spin-transfer is a typical spintronics effect that allows a ferromagnetic layer to be switched by spin-injection. Most of the experimental results about spin transfer are described on the basis of the Landau-Lifshitz-Gilbert equation of the…

Materials Science · Physics 2015-06-25 J. -E. Wegrowe , C. Ciornei , H. -J. Drouhin

We describe the dynamics of an antiferromagnetic nano-oscillator in an external magnetic field of any given time distribution. The oscillator is powered by a spin current originating from spin-orbit effects in a neighboring heavy metal…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 Jakub Chęciński , Marek Frankowski , Tomasz Stobiecki

We study the magnetic damping in the simplest of synthetic antiferromagnets, i.e. antiferromagnetically exchange-coupled spin valves in which applied magnetic fields tune the magnetic configuration to become noncollinear. We formulate the…

Mesoscale and Nanoscale Physics · Physics 2015-08-07 Takahiro Chiba , Gerrit E. W. Bauer , Saburo Takahashi

We consider the general Landau-Lifshitz-Gilbert theory underlying the magnetization dynamics of a macrospin magnet subject to spin-torque effects and thermal fluctuations. Thermally activated dynamical properties are analyzed by averaging…

Mesoscale and Nanoscale Physics · Physics 2013-10-07 Daniele Pinna , Andrew D. Kent , Daniel L. Stein

The precession and damping of a collinear magnetization displaced from its equilibrium are described by the Landau-Lifshitz-Gilbert equation. For a noncollinear magnetization, it is not known how the damping should be described. We use…

Materials Science · Physics 2015-02-09 Zhe Yuan , Kjetil M. D. Hals , Yi Liu , Anton A. Starikov , Arne Brataas , Paul J. Kelly

Magnetic damping is a key metric for emerging technologies based on magnetic nanoparticles, such as spin torque memory and high-resolution biomagnetic imaging. Despite its importance, understanding of magnetic dissipation in nanoscale…

Mesoscale and Nanoscale Physics · Physics 2019-10-29 I. Barsukov , H. K. Lee , A. A. Jara , Y. -J. Chen , A. M. Gonçalves , C. Sha , J. A. Katine , R. E. Arias , B. A. Ivanov , I. N. Krivorotov
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