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An extended Landau-Lifshitz-Gilbert (LLG) equation is introduced to describe the dynamics of inhomogeneous magnetization in a current-carrying wire. The coefficients of all the terms in this equation are calculated quantum-mechanically for…

Materials Science · Physics 2009-11-13 D. M. Edwards , O. Wessely

The Landau-Lifshitz-Gilbert (LLG) equation is widely used to describe magnetization dynamics. We develop a unified framework of the microscopic LLG equation based on the nonequilibrium Green's function formalism. We present a unified…

Mesoscale and Nanoscale Physics · Physics 2023-10-16 Fuming Xu , Gaoyang Li , Jian Chen , Zhizhou Yu , Lei Zhang , Baigeng Wang , Jian Wang

We propose and implement a third-order accurate numerical scheme for the Landau-Lifshitz-Gilbert equation, which describes magnetization dynamics in ferromagnetic materials under large damping parameters. This method offers two key…

Mathematical Physics · Physics 2025-10-29 Changjian Xie , Cheng Wang

Considering the similarity of the real-space configurations for the opposite spin sublattices in both antiferromagnets (AFM) and altermagnets (AM), the relationship between them should be profound. In this work, we demonstrate that AFM and…

Materials Science · Physics 2025-10-16 P. Zhou , X. N. Peng , Y. Z. Hu , B. R. Pan , S. M. Liu , Pengbo Lyu , L. Z. Sun

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

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…

We develop the hydrodynamical theory of collinear spin currents coupled to magnetization dynamics in metallic ferromagnets. The collective spin density couples to the spin current through a U(1) Berry-phase gauge field determined by the…

Mesoscale and Nanoscale Physics · Physics 2010-01-04 Clement H. Wong , Yaroslav Tserkovnyak

We formulate a phenomenological description of thin ferromagnetic layers with inversion asymmetry where the single-domain magnetic dynamics experiences magnon current-induced torques and leads to magnon-motive forces. We first construct a…

Mesoscale and Nanoscale Physics · Physics 2015-04-15 Alexey A. Kovalev , Utkan Güngördü

We derive thermomagnonic torque and its "$\beta$-type" dissipative correction from the stochastic Landau-Lifshitz-Gilbert equation. The "$\beta$-type" dissipative correction describes viscous coupling between magnetic dynamics and magnonic…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Alexey A. Kovalev

We study the magnetic dynamics of magnetoelectric antiferromagnetic thin films, where an unconventional boundary ferromagnetism coexists with the bulk N\'{e}el phase below the N\'{e}el temperature. The spin exchange between the two order…

Mesoscale and Nanoscale Physics · Physics 2018-01-24 Ricardo Zarzuela , Se Kwon Kim , Yaroslav Tserkovnyak

Physical phenomena in condensed matter normally arise from the collective effect of all atoms, while selectively addressing a lone atomic sublattice by external stimulus is elusive. The later functionality may, however, benefit various…

We demonstrate that moving edge dislocations can induce the reversal of magnetization in a ferromagnetic film due to the Barnett effect. The dynamics of magnetization is studied numerically within a discretized Landau-Lifshitz equation on a…

Materials Science · Physics 2025-12-01 Jorge F. Soriano , Eugene M. Chudnovsky

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 study the magnetization dynamics in thin ferromagnetic films and small ferromagnetic particles in contact with paramagnetic conductors. A moving magnetization vector causes \textquotedblleft pumping\textquotedblright of spins into…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yaroslav Tserkovnyak , Arne Brataas , Gerrit E. W. Bauer

Gilbert damping is a key property governing magnetization dynamics in ordered magnets. We present a theoretical study of intrinsic Gilbert damping induced by magnon decay in antiferromagnetic metals through $s$-$d$ exchange interaction. Our…

Mesoscale and Nanoscale Physics · Physics 2020-01-15 Haakon T. Simensen , Akashdeep Kamra , Roberto E. Troncoso , Arne Brataas

Dynamics of magnetic bubbles in planar ferromagnets described by the Landau-Lifshitz equation with dissipation is analyzed. The pure O(3) sigma model has static multisoliton solutions, characterized by a number of parameters. The parameters…

Condensed Matter · Physics 2009-10-30 Jacek Dziarmaga

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

Laser-induced magnetization precession measurements in ferromagnets often reveal an anomalous decrease in the damping time near a field-induced second-order spin-orientation transition, a behavior that cannot be described by the linearized…

Materials Science · Physics 2026-03-31 P. I. Gerevenkov , Ia. A. Filatov , L. A. Shelukhin , P. A. Dvortsova , A. M. Kalashnikova

We generalize the formalism of the dynamical vertex approximation (D$\Gamma$A) -- a diagrammatic extension of the dynamical mean-field theory (DMFT)-- to treat magnetically ordered phases. To this aim, we start by concisely illustrating the…

Strongly Correlated Electrons · Physics 2021-08-18 Lorenzo Del Re , Alessandro Toschi

We present an extensive experimental and theoretical study of surface acoustic wave-driven ferromagnetic resonance. In a first modeling approach based on the Landau-Lifshitz-Gilbert equation, we derive expressions for the magnetization…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 L. Dreher , M. Weiler , M. Pernpeintner , H. Huebl , R. Gross , M. S. Brandt , S. T. B. Goennenwein