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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

A theoretical study of stress-impedance effect based on the solution of Landau-Lifsitz-Gilbert equation has been carried out. The results show that stress impedance effects depend largely on several extrinsic (external bias field, external…

Materials Science · Physics 2007-07-28 B. Kaviraj , S. K. Ghatak

We describe a simple method of including dissipation in the spin wave band structure of a periodic ferromagnetic composite, by solving the Landau-Lifshitz equation for the magnetization with the Gilbert damping term. We use this approach to…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Rakesh P. Tiwari , D. Stroud

We present a theory of Landau-Lifshitz-Gilbert damping $\alpha$ for a localized spin ${\vec S}$ in the junction coupled to the conduction electrons in both leads under an applied volatege $V$. We find the voltage dependence of the damping…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hosho Katsura , Alexander V. Balatsky , Zohar Nussinov , Naoto Nagaosa

A Landau-Lifshitz-Gilbert type equation has been derived by using s-d model in which the s-electron system is regarded as an environment coupled weakly with the localized spins. Based on the irreducible linear response theory, we show that…

Materials Science · Physics 2007-05-23 Akimasa Sakuma

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

Spin precession in magnetic materials is commonly modelled with the classical phenomenological Landau-Lifshitz-Gilbert (LLG) equation. Based on a quantized spin+environment Hamiltonian, we here derive a general spin operator equation of…

Quantum Physics · Physics 2022-11-02 J. Anders , C. R. J. Sait , S. A. R. Horsley

We use time-dependent spin-density-functional theory to study dynamical magnetic phenomena. First, we recall that the local-spin-density approximation (LSDA) fails to account correctly for magnetic fluctuations in the paramagnetic state of…

Materials Science · Physics 2009-11-07 K. Capelle , B. L. Gyorffy

Thermal fluctuations of nanomagnets driven by spin-polarized currents are treated via the Landau-Lifshitz-Gilbert equation generalized to include both the random thermal noise field and the Slonczewski spin-transfer torque term. By…

Statistical Mechanics · Physics 2013-10-09 Y. P. Kalmykov , W. T. Coffey , S. V. Titov , J. E. Wegrowe , D. Byrne

We discuss the dissipative diffusion-type term of the form $\mathbf{m}\times\nabla^2\partial_t\mathbf{m}$ in the phenomenological Landau-Lifshitz equation of ferromagnetic precession, which describes enhanced Gilbert damping of…

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

Recent experimental results have pushed the limits of magnetization dynamics to pico- and femtosecond timescales. This ultra-fast spin dynamics occurs in extreme conditions of strong and rapidly varying fields and high temperatures. This…

Materials Science · Physics 2009-11-13 U. Atxitia , O. Chubykalo-Fesenko , R. W. Chantrell , U. Nowak , A Rebei

We study a driven-dissipative model of spins one-half (qubits) on a lattice with nearest-neighbor interactions. Focusing on the role of spatially extended spin-spin correlations in determining the phases of the system, we characterize the…

Quantum Physics · Physics 2020-08-12 Haggai Landa , Marco Schiró , Grégoire Misguich

Many-electron systems undergo a collective Larmor precession in the presence of a magnetic field. In a paramagnetic metal, the resulting spin wave provides insight into the correlation effects generated by the electron-electron interaction.…

Strongly Correlated Electrons · Physics 2023-10-17 Erik G. C. P. van Loon , Hugo U. R. Strand

The Landau-Lifshitz-Gilbert damping parameter is typically assumed to be a local quantity, independent of magnetic configuration. To test the validity of this assumption we calculate the precession damping rate of small amplitude…

Materials Science · Physics 2015-05-13 Keith Gilmore , Mark D. Stiles

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

We explore the limitations and validity of semi-classically formulated spin equations of motion. Using a single-molecule magnet as a test model, we employ three qualitatively different approximation schemes. From a microscopic model, we…

Mesoscale and Nanoscale Physics · Physics 2017-12-13 Henning Hammar , Jonas Fransson

The Landau-Lifshitz-Gilbert equation yields a mathematical model to describe the evolution of the magnetization of a magnetic material, particularly in response to an external applied magnetic field. It allows one to take into account…

Numerical Analysis · Mathematics 2021-06-15 Tram Thi Ngoc Nguyen , Anne Wald

We present a first-principles theory of dynamical spin excitations in the presence of spin-orbit coupling. The broken global spin rotational invariance leads to a new sum rule. We explore the competition between the magnetic anisotropy…

Mesoscale and Nanoscale Physics · Physics 2015-02-06 Manuel dos Santos Dias , Benedikt Schweflinghaus , Stefan Blügel , Samir Lounis

We study dynamical and thermal effects that are induced in nanoparticle systems by a rotating magnetic field. Using the deterministic Landau-Lifshitz equation and appropriate rotating coordinate systems, we derive the equations that…

Statistical Mechanics · Physics 2016-08-16 S. I. Denisov , T. V. Lyutyy , P. Hänggi , K. N. Trohidou

The dynamical equation of the magnetization has been reconsidered with enlarging the phase space of the ferromagnetic degrees of freedom to the angular momentum. The generalized Landau-Lifshitz-Gilbert equation that includes inertial terms,…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 M. -C. Ciornei , J. M. Rubí , J. -E. Wegrowe