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The longitudinal relaxation time of the magnetization of a system of two exchange coupled spins subjected to a strong magnetic field is calculated exactly by averaging the stochastic Gilbert-Landau-Lifshitz equation for the magnetization,…

Statistical Mechanics · Physics 2009-11-11 S. V. Titov , H. Kachkachi , Yu. P. Kalmykov , W. T. Coffey

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 damping of magnetization, represented by the rate at which it relaxes to equilibrium, is successfully modeled as a phenomenological extension in the Landau-Lifschitz-Gilbert equation. This is the damping torque term known as Gilbert…

Other Condensed Matter · Physics 2009-04-01 M. C. Hickey , J. S. Moodera

The magnetization dynamics of ferromagnets are often formulated in terms of the Landau-Lifshitz-Gilbert (LLG) equation. The reactive part of this equation describes the response of the magnetization in terms of effective fields, whereas the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Arne Brataas , Yaroslav Tserkovnyak , Gerrit E. W. Bauer

We investigate in details the inertial dynamics of a uniform magnetization in the ferromagnetic resonance (FMR) context. Analytical predictions and numerical simulations of the complete equations within the Inertial Landau-Lifshitz-Gilbert…

Materials Science · Physics 2014-12-12 E. Olive , Y. Lansac , M. Meyer , M. Hayoun , J. -E. Wegrowe

We present a theory of orbital magnetic dynamics for a chiral p-wave superconductor with broken time-reversal symmetry. In contrast to the common Landau-Lifshitz theory for spin ferromagnets, the case of orbital magnetism cannot be…

Superconductivity · Physics 2016-08-31 V. Braude , E. B. Sonin

We study a nonequilibrium ferromagnetic mean-field spin model exhibiting a phase with spontaneous temporal oscillations of the magnetization, on top of the usual paramagnetic and ferromagnetic phases. This behavior is obtained by…

Statistical Mechanics · Physics 2024-04-18 Laura Guislain , Eric Bertin

Inelastic neutron scattering with high wave-vector resolution has characterized the propagation of transverse spin wave modes near the antiferromagnetic zone center in the metastable domain state of a random field Ising magnet. A…

Disordered Systems and Neural Networks · Physics 2009-11-07 R. L. Leheny , Y. S. Lee , G. Shirane , R. J. Birgeneau

In the presence of spatial variation of the magnetization direction, electric current noise causes a fluctuating spin-transfer torque that increases the fluctuations of the ferromagnetic order parameter. By the fluctuation-dissipation…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Jorn Foros , Arne Brataas , Yaroslav Tserkovnyak , Gerrit E. W. Bauer

A keen interest towards technological implications of spin-orbit driven magnetization dynamics requests a proper theoretical description, especially in the context of a microscopic framework, to be developed. Indeed, magnetization dynamics…

Mesoscale and Nanoscale Physics · Physics 2018-11-22 Anastasiia A. Pervishko , Mikhail I. Baglai , Olle Eriksson , Dmitry Yudin

Motivated by the difference between the dynamics of magnetization textures in ferromagnets and antiferromagnets, the Landau-Lifshitz equation of motion is explored. A typical one-dimensional domain wall in a bulk ferromagnet with biaxial…

Materials Science · Physics 2020-03-25 Ricardo Rama-Eiroa , Rubén M. Otxoa , Pierre E. Roy , Konstantin Y. Guslienko

We show variationally that instability of the ferromagnetic state in the Hubbard model is largely controlled by softening of a long-wavelength spin-wave excitation, except in the over-doped strong-coupling region where the…

Condensed Matter · Physics 2009-10-30 Takuya Okabe

Assuming a Fermi liquid behavior for $s$-conduction electrons, we rewrite the extended Landau-Lifshitz-Gilbert (LLG) equation renormalized by interactions through the Landau parameters $F^{a}_{l}$ ($l=0,1,2 \cdots$) in an explicit form to…

Strongly Correlated Electrons · Physics 2022-10-06 H. B. Brentan , P. F. Farinas

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

We analyze the Landau-Lifshitz-Gilbert equation when the precession motion of the magnetic moments is additionally subjected to an uniaxial anisotropy and is driven by a multiplicative coupled stochastic field with a finite correlation time…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Thomas Bose , Steffen Trimper

Instabilities in magnetic fields wound up by differential rotation as reviewed in Spruit (1999) are discussed with some detail and new developments added. In stellar models which include magnetic torques, the differential rotation tends to…

Astrophysics · Physics 2007-05-23 H. C. Spruit

Micromagnetic instabilities and non-uniform magnetization states play a significant role in spin transfer induced switching of nanometer scale magnetic elements. Here we model domain wall mediated switching dynamics in perpendicularly…

Mesoscale and Nanoscale Physics · Physics 2021-01-13 Nahuel Statuto , Jamileh Beik Mohammadi , Andrew D. Kent

A theoretical formula is derived for the threshold current to switch a perpendicular magnetization in a ferromagnet by the spin Hall effect. The numerical simulation of the Landau-Lifshitz-Gilbert equation indicates that magnetization…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 Tomohiro Taniguchi

Two principal scenarios of magnetization reversal are considered. In the first scenario all spins perform coherent motion and an excess of magnetic energy directly goes to a nonmagnetic thermal bath. A general dynamic equation is derived…

Other Condensed Matter · Physics 2009-11-10 Vladimir L. Safonov

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