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The Gilbert damping parameter, which describes magnetization dynamics, is crucial for the performance of modern spintronic devices, affecting factors such as the switching speed and critical current density of magnetoresistive random access…

Materials Science · Physics 2024-09-26 Shi-Bo Zhao , Xiang-Fan Huang , Ze-quan Wang Ruqian Wu , Yusheng Hou

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

As of now, the phenomenological classical Landau-Lifshitz (LL) damping of magnetic order is not conceptually linked to the quantum theory of dissipation of the Lindbladian formalism which is unsatisfactory for the booming research on…

Strongly Correlated Electrons · Physics 2025-10-24 Götz S. Uhrig

The expression of the thermal fluctuation parameter in the stochastic Landau-Lifshitz-Gilbert equation has been derived from a fundamental quantum theory of spins and phonons, in which the exchange interaction between nearest atoms has been…

Mesoscale and Nanoscale Physics · Physics 2015-01-21 Lei Xu , Dan Wei , Kuijuan Jin , Zhongshui Ma

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

We demonstrate a strong dependence of the effective damping on the nanomagnet size and the particular spin-wave mode that can be explained by the theory of intralayer transverse-spin-pumping. The effective Landau-Lifshitz damping is…

Mesoscale and Nanoscale Physics · Physics 2013-03-15 Hans T. Nembach , Justin M. Shaw , Carl T. Boone , T. J. Silva

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

New terms to the dynamical equation of magnetization motion, associated with spin transport, have been reported over the past several years. Each newly identified term is thought to possess both a real and an imaginary effective field…

Materials Science · Physics 2016-03-23 Yi Li , W. E. Bailey

The Landau-Lifshitz-Gilbert damping coefficient employed in the analysis of spin wave ferromagnetic resonance is related to the electrical conductivity of the sample. The changing magnetization (with time) radiates electromagnetic fields.…

Statistical Mechanics · Physics 2007-05-23 S. Sivasubramanian , A. Widom , Y. N. Srivastava

Spin pumping effect is a sensitive and well-established experimental method in two-dimensional (2D) magnetic materials. We propose that spin pumping effect can be a valuable probe for non-Fermi liquid (NFL) behaviors at the 2D interface of…

Strongly Correlated Electrons · Physics 2025-03-19 Xiao-Tian Zhang , Yi-Hui Xing , Xu-Ping Yao , Yuya Ominato , Long Zhang , Mamoru Matsuo

We study the enhancement of the ferromagnetic relaxation rate in thin films due to the adjacent normal metal layers. Using linear response theory, we derive the dissipative torque produced by the s-d exchange interaction at the…

Materials Science · Physics 2009-11-07 E. Simanek , B. Heinrich

A fully quantum mechanical description of the precessional damping of Pt/Co bilayer is presented in the framework of the Keldysh Green function approach using {\it ab initio} electronic structure calculations. In contrast to previous…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Farzad Mahfouzi , Jinwoong Kim , Nicholas Kioussis

Using the in-in formalism, we generalize the recently constructed magnetoelastic EFT arXiv:2112.13873 [hep-th] to describe the damping dynamics of ferromagnetic systems at long wavelengths. We find that the standard Gilbert damping term…

High Energy Physics - Theory · Physics 2023-12-21 Jingping Li

We derive an approximate expression for the Gilbert damping coefficient \alpha_G of itinerant electron ferromagnets which is based on their description in terms of spin-density-functional-theory (SDFT) and Kohn-Sham quasiparticle orbitals.…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Ion Garate , Allan H. MacDonald

Magnetic damping is a key metric for emerging technologies based on magnetic nanoparticles, such as spin torque memory and high-resolution biomagnetic imaging. Despite its importance, understanding of magnetic dissipation in nanoscale…

Mesoscale and Nanoscale Physics · Physics 2019-10-29 I. Barsukov , H. K. Lee , A. A. Jara , Y. -J. Chen , A. M. Gonçalves , C. Sha , J. A. Katine , R. E. Arias , B. A. Ivanov , I. N. Krivorotov

We report on a study of Gilbert damping due to particle-hole pair excitations in conducting ferromagnets. We focus on a toy two-band model and on a four-band spherical model which provides an approximate description of ferromagnetic…

Materials Science · Physics 2010-04-28 Ion Garate , Allan MacDonald

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

A method with which to calculate the Gilbert damping parameter from a real-space electronic structure method is reported here. The anisotropy of the Gilbert damping with respect to the magnetic moment direction and local chemical…

Materials Science · Physics 2021-11-23 I. P. Miranda , A. B. Klautau , A. Bergman , D. Thonig , H. M. Petrilli , O. Eriksson

A recent article by Stiles et al. (cond-mat/0702020) argued in favor of the Landau-Lifshitz damping term in the micromagnetic equations of motion over that of the more commonly accepted Gilbert damping form. Much of their argument revolved…

Other Condensed Matter · Physics 2007-06-13 Neil Smith

Based on the non-relativistic regime of the Dirac equation coupled to a torsion pseudo-vector, we study the dynamics of magnetization and how it is affected by the presence of torsion. We consider that torsion interacting terms in Dirac…

High Energy Physics - Theory · Physics 2016-06-22 Cristine N. Ferreira , Cresus F. L. Godinho , J. A. Helayël Neto