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Experiments in spintronics and magnonics operate with macroscopically large number of localized spins within ferromagnetic (F) or antiferromagnetic (AF) materials, so that their nonequilibrium dynamics is standardly described by the…

Strongly Correlated Electrons · Physics 2021-12-03 Priyanka Mondal , Abhin Suresh , Branislav K. Nikolic

The detailed derivation of the quantum Landau-Lifshitz-Bloch (qLLB) equation for simple spin-flip scattering mechanisms based on spin-phonon and spin-electron interactions is presented and the approximations are discussed. The qLLB equation…

Materials Science · Physics 2015-08-06 P. Nieves , D. Serantes , U. Atxitia , O. Chubykalo-Fesenko

The real-time dynamics of local magnetic moments exchange coupled to a metallic system of conduction electrons is subject to dissipative friction even in the absence of spin-orbit coupling. Phenomenologically, this is usually described by a…

Mesoscale and Nanoscale Physics · Physics 2025-01-08 Nicolas Lenzing , David Krüger , Michael Potthoff

The significant experimental advances of the last few decades in dealing with the interaction of spin currents and nanomagnets, at the device level, has allowed envisioning a broad class of devices that propose to implement information…

Mesoscale and Nanoscale Physics · Physics 2014-05-28 Srikant Srinivasan , Vinh Diep , Behtash Behin-Aein , Angik Sarkar , Supriyo Datta

The classical Landau-Lifshitz-Gilbert (LLG) equation has long served as a cornerstone for modeling magnetization dynamics in magnetic systems, yet its classical nature limits its applicability to inherently quantum phenomena such as…

Quantum Physics · Physics 2025-06-25 Vahid Azimi-Mousolou , Davoud Mirzaei

Magnetization reversal in magnetic nanostructures is investigated numerically over time-scales ranging from fast switching processes on a picosecond scale to thermally activated reversal on a microsecond time-scale. A simulation of the…

Statistical Mechanics · Physics 2015-06-24 D. Hinzke , U. Nowak

Recent theory and measurements of the velocity of current-driven domain walls in magnetic nanowires have re-opened the unresolved question of whether Landau-Lifshitz damping or Gilbert damping provides the more natural description of…

Materials Science · Physics 2009-11-13 M. D. Stiles , W. M. Saslow , M. J. Donahue , A. Zangwill

In order to search for the magnetic ground state of surface nanostructures we extended first principles adiabatic spin dynamics to the case of fully relativistic electron scattering. Our method relies on a constrained density functional…

Materials Science · Physics 2009-11-10 B. Ujfalussy , B. Lazarovits , L. Szunyogh , G. M. Stocks , P. Weinberger

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

Recent studies have found that fluctuations of magnetization transfer in integrable spin chains violate the central limit property. Here we revisit the problem of anomalous counting statistics in the Landau-Lifshitz field theory by…

Statistical Mechanics · Physics 2024-02-05 Žiga Krajnik , Johannes Schmidt , Enej Ilievski , Tomaž Prosen

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

Using a simple two-band model for Fe-based pnictides and the generalized Eilenberger equation, we present a microscopic derivation of a time-dependent equation for the amplitude of the spin density wave near the quantum critical point where…

Superconductivity · Physics 2014-01-13 Andreas Moor , Anatoly F. Volkov , Konstantin B. Efetov

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

Reparametrization invariant dynamics on a sphere, being parameterized by angular momentum coordinates, represents an example of noncommutative theory. It can be quantized according to Berezin-Marinov prescription, replacing the coordinates…

High Energy Physics - Theory · Physics 2010-02-04 Alexei A. Deriglazov

The numerical approximation for the Landau-Lifshitz equation, the dynamics of magnetization in a ferromagnetic material, is taken into consideration. This highly nonlinear equation, with a non-convex constraint, has several equivalent…

Analysis of PDEs · Mathematics 2019-07-05 Jingrun Chen , Cheng Wang , Changjian Xie

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

Understanding the magnetization switching process in ferromagnetic thin films is essential for many technological applications. We investigate the effects of periodic driving via magnetic fields on a macrospin system under explicit…

Materials Science · Physics 2022-08-16 Michael Maihöfer , Johannes Reiff , Jörg Main , Rigoberto Hernandez

We calculate the magnetization torque due to the spin polarization of the itinerant electrons by deriving the kinetic spin Bloch equations based on the $s$-$d$ model. We find that the first-order gradient of the magnetization inhomogeneity…

Materials Science · Physics 2011-02-15 K. Shen , G. Tatara , M. W. Wu

Operation parameters of magnetic quantum cellular automata are evaluated for the purposes of reliable logic operation. The dynamics of the nanomagnets is simulated via the Landau-Lifshitz-Gilbert equations with a stochastic magnetic field…

Mesoscale and Nanoscale Physics · Physics 2009-06-30 Federico M. Spedalieri , Ajey P. Jacob , Dmitri Nikonov , Vwani P. Roychowdhury

We propose a stochastic approach for the description of the time evolution of the magnetization of nanomagnets, that interpolates between the Landau--Lifshitz--Gilbert and the Landau--Lifshitz--Bloch approximations, by varying the strength…

Statistical Mechanics · Physics 2016-07-07 Julien Tranchida , Pascal Thibaudeau , Stam Nicolis