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The mechanisms of the magnetization switching of magnetic multilayers driven by a current are studied by including exchange interaction between local moments and spin accumulation of conduction electrons. It is found that this exchange…

Materials Science · Physics 2009-11-07 S. Zhang , P. M. Levy , A. Fert

In this paper we present an overview of recent progress made in the understanding of the spin-torque induced magnetization dynamics in nanodevices using mesoscopic micromagnetic simulations. We first specify how a spin-torque term may be…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. V. Berkov , J. Miltat

Dynamic simulations of spin-transfer and spin-orbit torques are increasingly important for a wide range of spintronic devices including magnetic random access memory, spin-torque nano-oscillators and electrical switching of…

Computational Physics · Physics 2022-11-23 Andrea Meo , Carenza E. Cronshaw , Sarah Jenkins , Amelia Lees , Richard F. L. Evans

We consider a small itinerant ferromagnet exposed to an external magnetic field and strongly driven by a thermally induced spin current. For this model, we derive the quasi-classical equations of motion for the magnetization where the…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Tim Ludwig , Igor S. Burmistrov , Yuval Gefen , Alexander Shnirman

Starting from the Dirac-Kohn-Sham equation we derive the relativistic equation of motion of spin angular momentum in a magnetic solid under an external electromagnetic field. This equation of motion can be written in the form of the…

Materials Science · Physics 2016-10-20 Ritwik Mondal , Marco Berritta , Peter M. Oppeneer

We derive a continuum equation for the magnetization of a conducting ferromagnet in the presence of a spin-polarized current. Current effects enter in the form of a topological term in the Landau-Lifshitz equation . In the stationary…

Materials Science · Physics 2009-10-30 Ya. B. Bazaliy , B. A. Jones , Shou-Cheng Zhang

The atomistic Landau-Lifshitz-Gilbert equation is challenged when modeling spintronic devices where Joule heating is significant, due to its core assumption of a constant magnetization magnitude. Based on a statistical framework that treats…

Mesoscale and Nanoscale Physics · Physics 2026-02-25 Pascal Thibaudeau , Mouad Fattouhi , Liliana D. Buda-Prejbeanu

Current-driven magnetization dynamics in ferromagnetic metals are studied in a self-consistent adiabatic local-density approximation in the presence of spin-conserving and spin-dephasing impurity scattering. Based on a quantum kinetic…

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

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 consider the general Landau-Lifshitz-Gilbert theory underlying the magnetization dynamics of a macrospin magnet subject to spin-torque effects and thermal fluctuations. Thermally activated dynamical properties are analyzed by averaging…

Mesoscale and Nanoscale Physics · Physics 2013-10-07 Daniele Pinna , Andrew D. Kent , Daniel L. Stein

A theoretical model based on the Landau-Lifshitz-Bloch equation is developed to study the spin-torque effect in ferrimagnets. Experimental findings, such as the temperature dependence, the peak in spin torque, and the angular-momentum…

Materials Science · Physics 2018-11-21 Zhifeng Zhu , Xuanyao Fong , Gengchiau Liang

A number of recent experimental works have shown that the dynamics of a single spin torque oscillator can exhibit complex behavior that stems from interactions between two or more modes of the oscillator. Examples are observed mode-hopping…

Mesoscale and Nanoscale Physics · Physics 2013-12-02 Olle Heinonen , Yan Zhou , Dong Li

In this contribution, we start off from a fully relativistic description of a single electron non-minimally coupled to an external electromagnetic field. Making direct use of the field equation, instead of canonically deriving from the…

Mesoscale and Nanoscale Physics · Physics 2020-02-24 Rodrigo Turcati , Carlos Andres Bonilla Quintero , José Abdalla Helayël-Neto , Enrique Arias

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

Spin currents act on ferromagnets by exerting a torque on the magnetisation. This torque is modelled by appending additional terms to the Landau-Lifshitz-Gilbert equation motivating the study of the non-homogeneous Landau-Lifshitz-Gilbert…

Analysis of PDEs · Mathematics 2024-07-16 Noah Vinod , Thanh Tran

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

The traditional Landau-Lifshitz-Gilbert (LLG) equation has often delineated the linear and nonlinear magnetization dynamics, even at ultrashort timescales e.g., femtoseconds. In contrast, several other non-relativistic and relativistic spin…

We propose a new approach to derive spin torque in systems of broken inversion symmetry. It uses the concepts of asymmetric and directional spin-spin interactions to obtain their effective fields. We applied the effective fields into the…

Strongly Correlated Electrons · Physics 2019-09-30 H. Y. Kwon , S. P. Kang , N. J. Kim , C. K. Lee , C. Won

We present a theory of magnetization dynamics driven by spin-polarized current in terms of the quantum master equation. In the spin coherent state representation, the master equation becomes a Fokker-Planck equation, which naturally…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Yong Wang , L. J. Sham

We develop a complete relativistic theory to describe the dynamics of electronic angular momentum including both spin (S) and orbital (L) contributions in magnetic systems. We start with the relativistic Dirac-Kohn-Sham Hamiltonian under…

Other Condensed Matter · Physics 2026-05-19 Subhadip Santra , Ritwik Mondal , Marco Berritta , Peter M. Oppeneer
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