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We present a microscopic treatment of current-induced torques and thermal fluctuations in itinerant ferromagnets based on a functional formulation of the Keldysh formalism. We find that the nonequilibrium magnetization dynamics is governed…

Mesoscale and Nanoscale Physics · Physics 2007-07-18 R. A. Duine , A. S. Nunez , Jairo Sinova , A. H. MacDonald

The dynamics of magnetization in the presence of spin-transfer torque was studied. We derived the equation for the motion of magnetization in the presence of a spin current by using the local equilibrium assumption in non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2008-08-07 Kazuhiko Seki , Hiroshi Imamura

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 present a microscopic theory for magnetization relaxation in metallic ferromagnets of nanoscopic dimensions that is based on the dynamic spin response matrix in the presence of spin-orbit coupling. Our approach allows the calculation of…

Mesoscale and Nanoscale Physics · Physics 2015-02-10 A. T. Costa , R. B. Muniz

Effects of conduction electrons on magnetization dynamics, represented by spin torques, are calculated microscopically in the first order in spatial gradient and time derivative of magnetization. Special attention is paid to the so-called…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Hiroshi Kohno , Gen Tatara , Junya Shibata

We explore the derivation of interatomic exchange interactions in ferromagnets within density-functional theory (DFT) and the mapping of DFT results onto a spin Hamiltonian. We delve into the problem of systems comprising atoms with strong…

Materials Science · Physics 2013-10-10 Marjana Lezaic , Phivos Mavropoulos , Gustav Bihlmayer , Stefan Blügel

Understanding the origin of damping mechanisms in magnetization dynamics of metallic ferromagnets is a fundamental problem for nonequilibrium many-body physics of systems where quantum conduction electrons interact with localized spins…

Mesoscale and Nanoscale Physics · Physics 2024-03-01 Felipe Reyes-Osorio , Branislav K. Nikolic

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 a single domain ferromagnet in contact with a thermal bath is studied by scattering theory. We recover the Landau-Liftshitz-Gilbert equation and express the effective fields and Gilbert damping tensor in terms…

Mesoscale and Nanoscale Physics · Physics 2008-08-01 Arne Brataas , Yaroslav Tserkovnyak , Gerrit E. W. Bauer

In the spirit of recently developed LDA+U and LDA+DMFT methods we implement a combination of density functional theory in its local density approximation (LDA) with a $k$- and $\omega -$dependent self-energy found from diagrammatic…

Strongly Correlated Electrons · Physics 2018-04-17 Sergey Y. Savrasov , Giacomo Resta , Xiangang Wan

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

The formalism of density functional theory (DFT) can be easily extended to the time dependent case (TDDFT). However, while in the static case the theory is well established and is expected to be, at least in principle, an exact approach for…

Condensed Matter · Physics 2007-05-23 Sandro Stringari

While the ground state of magnetic materials is in general well described on the basis of spin density functional theory (SDFT), the theoretical description of finite-temperature and non-equilibrium properties require an extension beyond…

Materials Science · Physics 2022-06-22 Sergiy Mankovsky , Hubert Ebert

We study time-dependent electronic and spin transport through an electronic level connected to two leads and coupled with a single-molecule magnet via exchange interaction. The molecular spin is treated as a classical variable and precesses…

Mesoscale and Nanoscale Physics · Physics 2013-07-24 Milena Filipovic , Cecilia Holmqvist , Federica Haupt , Wolfgang Belzig

We present a unified theory of magnetic damping in itinerant electron ferromagnets at order $q^2$ including electron-electron interactions and disorder scattering. We show that the Gilbert damping coefficient can be expressed in terms of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. M. Hankiewicz , G. Vignale , Y. Tserkovnyak

Due to the strongly nonlocal nature of $f_{xc}({\bf r},{\bf r}',\omega)$ the {\em scalar} exchange and correlation (xc) kernel of the time-dependent density-functional theory (TDDFT), the formula for Q the friction coefficient of an…

Materials Science · Physics 2009-11-13 V. U. Nazarov , J. M. Pitarke , Y. Takada , G. Vignale , Y. -C. Chang

In the framework of the Landau-Lifshitz equations without any dissipation (an approximation which may also be helpful for finite but weak Gilbert damping), with all interactions included, for general ground states, geometries and domain…

Materials Science · Physics 2016-08-31 U. Krey

The influence of possible magnetic inertia effects has recently drawn attention in ultrafast magnetization dynamics and switching. Here we derive rigorously a description of inertia in the Landau-Lifshitz-Gilbert equation on the basis of…

Other Condensed Matter · Physics 2017-07-26 Ritwik Mondal , Marco Berritta , Ashis K. Nandy , Peter M. Oppeneer

The dynamics of the domain wall (DW) in a biaxial ferromagnet interacting with a spin-polarized current are described by sine-gordon (SG) equation coupled with Gilbert damping term in this paper. Within our frame-work of this model, we…

Mesoscale and Nanoscale Physics · Physics 2012-08-09 Xin Liu , Xiong-Jun Liu , Mo-Lin Ge

We present a systematic phenomenological description of Gilbert damping in two-sublattice magnets. Our theory covers the full range of materials from ferro- via ferri- to antiferromagnets. Following a Rayleigh dissipation functional…

Materials Science · Physics 2018-11-08 Akashdeep Kamra , Roberto E. Troncoso , Wolfgang Belzig , Arne Brataas