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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

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

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 traditional Landau-Lifshitz-Gilbert (LLG) equation has often delineated the linear and nonlinear magnetization dynamics, even at ultrashort timescales e.g., femtoseconds. In contrast, several other non-relativistic and relativistic spin…

We theoretically study dynamic properties of thin ferromagnetic films in contact with normal metals. Moving magnetizations cause a flow of spins into adjacent conductors, which relax by spin flip, scatter back into the ferromagnet, or are…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yaroslav Tserkovnyak , Arne Brataas , Gerrit E. W. Bauer

The Gilbert damping of ferromagnetic materials is arguably the most important but least understood phenomenological parameter that dictates real-time magnetization dynamics. Understanding the physical origin of the Gilbert damping is highly…

Materials Science · Physics 2016-03-29 Yuelei Zhao , Qi Song , See-Hun Yang , Tang Su , Wei Yuan , Stuart S. P. Parkin , Jing Shi , Wei Han

Spin wave equations in the non-equilibrium precessing state of a ferromagnetic system are found. They show a spin-wave instability towards growing domains of stable magnetization. Precession of the uniform magnetization mode is described by…

Materials Science · Physics 2007-05-23 A. Kashuba

The Landau--Lifshitz equation describes the dynamics of magnetization inside a ferromagnet. This equation is nonlinear and has an infinite number of stable equilibria. It is desirable to control the system from one equilibrium to another. A…

Optimization and Control · Mathematics 2015-09-29 Amenda Chow , Kirsten A. Morris

We consider the coupled system of the Landau--Lifshitz--Gilbert equation and the conservation of linear momentum law to describe magnetic processes in ferromagnetic materials including magnetoelastic effects in the small-strain regime. For…

Numerical Analysis · Mathematics 2025-01-15 Hywel Normington , Michele Ruggeri

The role of fluctuation-dissipation relations (theorems) for the magnetization dynamics with Landau-Lifshitz-Gilbert and Bloch-Bloembergen damping terms are discussed. We demonstrate that the use of the Callen-Welton fluctuation-dissipation…

Statistical Mechanics · Physics 2009-11-11 Vladimir L. Safonov , H. Neal Bertram

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

An analysis of a single-domain magnetic needle in the presence of an external magnetic field ${\bf B}$ is carried out with the aim of achieving a high precision magnetometer. We determine the uncertainty $\Delta B$ of such a device due to…

General Physics · Physics 2018-10-24 Y. B. Band , Y. Avishai , Alexander Shnirman

The modification of the magnetization dissipation or Gilbert damping caused by an inhomogeneous magnetic structure and expressed in terms of a wave vector dependent tensor $\underline{\alpha}(\vec{q})$ is investigated by means of linear…

Materials Science · Physics 2018-09-12 S. Mankovsky , S. Wimmer , H. Ebert

A quantum mechanical model is used to derive a generalized Landau-Lifshitz equation for a magnetic moment, including fluctuations and dissipation. The model reproduces the Gilbert-Brown form of the equation in the classical limit. The…

Materials Science · Physics 2009-11-07 A. Rebei , G. J. Parker

Laser induced modulation of the magnetization dynamics occurring over various time-scales have been unified here for a Ni80Fe20 thin film excited by amplified femtosecond laser pulses. The weak correlation between demagnetization time and…

Mesoscale and Nanoscale Physics · Physics 2018-12-21 Sucheta Mondal , Anjan Barman

We present a complete theory of the spin torque phenomena in a ultrasmall nanomagnet coupled to non-collinear ferromagnetic electrodes through tunnelling junctions. This model system can be described by a simple microscopic model which…

Mesoscale and Nanoscale Physics · Physics 2008-02-22 O. Parcollet , X. Waintal

We present a general approach to the derivation of the effective anisotropy field which determines the dynamical behaviour of magnetic spins according to the Landau-Lifshitz-Gilbert equation. The approach is based on the gradient in…

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 compute the Gilbert damping in (Ga,Mn)As based on the scattering theory of magnetization relaxation. The disorder scattering is included non-perturbatively. In the clean limit, the spin-pumping from the localized d-electrons to the…

Materials Science · Physics 2011-11-03 Kjetil M. D. Hals , Arne Brataas

The Landau-Lifshitz-Gilbert equation for rigid and saturated ferromagnets is derived using a two-continuum model constructed by H.F. Tiersten for elastic and saturated ferromagnets. The relevant basic laws of physics are applied…

Materials Science · Physics 2023-05-30 Jiashi Yang
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