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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

Spin wave equations in the non-equilibrium precessing state of a ferromagnetic system are found. They show a spin-wave instability towards growing domains of stable magnetization. Precession of the uniform magnetization mode is described by…

Materials Science · Physics 2007-05-23 A. Kashuba

In the context of spin electronics, the two spin-channel model assumes that the spin carriers are composed of two distinct populations: the conduction electrons of spin up, and the conduction electrons of spin down. In order to distinguish…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. -E. Wegrowe , H. -J. Drouhin

We solve appropriate drift-diffusion and Landau-Lifshitz-Gilbert equations to demonstrate that unpolarized current flow from a non-magnet into a ferromagnet can produce a precession-type instability of the magnetization. The fundamental…

Materials Science · Physics 2009-11-10 M. D. Stiles , Jiang Xiao , A. Zangwill

Starting from a continuum constituted by charged tops, we formulate the classical counterpart of a previously obtained covariant continuity-like equation for the spin current. Such a formulism provides an intuitive picture to elucidate the…

Mesoscale and Nanoscale Physics · Physics 2008-04-19 Pei-Qing Jin , You-Quan Li

A complete set of the generalized drift-diffusion equations for a coupled charge and spin dynamics in ferromagnets in the presence of extrinsic spin-orbit coupling is derived from the quantum kinetic approach, covering major transport…

Mesoscale and Nanoscale Physics · Physics 2018-05-02 C. O. Pauyac , M. Chshiev , A. Manchon , S. A. Nikolaev

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

The Landau-Lifshitz equation describes the time-evolution of magnetic dipoles, and can be derived by taking the classical limit of a quantum mechanical spin Hamiltonian. To take this limit, one constrains the many-body quantum state to a…

Strongly Correlated Electrons · Physics 2022-09-21 David Dahlbom , Hao Zhang , Cole Miles , Xiaojian Bai , Cristian D. Batista , Kipton Barros

We have studied spin excitations in nanosized magnetic films in the Heisenberg model with magnetic dipole and exchange interactions by the spin operator diagram technique. Dispersion relations of spin waves in thin magnetic films (in…

Mesoscale and Nanoscale Physics · Physics 2011-11-16 L. V. Lutsev

We study the relaxation of a spin density injected into a two-dimensional electron system with generic spin-orbit interactions. Our model includes the Rashba as well as linear and cubic Dresselhaus terms. We explicitly derive a general…

Materials Science · Physics 2013-05-29 Tudor D. Stanescu , Victor Galitski

We consider the numerical approximation of a continuum model of antiferromagnetic and ferrimagnetic materials. The state of the material is described in terms of two unit-length vector fields, which can be interpreted as the magnetizations…

Numerical Analysis · Mathematics 2023-12-11 Hywel Normington , Michele Ruggeri

I present some simple exactly solvable models of spin diffusion caused by synchrotron radiation noise in storage rings. I am able to use standard stochastic differential equation and Fokker-Planck methods and I thereby introduce, and…

Accelerator Physics · Physics 2008-02-03 K. Heinemann

This article presents a finite element scheme with Newton's method for solving the time-fractional nonlinear diffusion equation. For time discretization, we use the fractional Crank-Nicolson scheme based on backward Euler convolution…

Analysis of PDEs · Mathematics 2018-11-26 Dileep Kumar , Sudhakar Chaudhary , V. V. K Srinivas Kumar

Controlling the spin dynamics and spin lifetimes is one of the main challenges in spintronics. To this end, the study of the spin diffusion in two-dimensional electron gases (2DEGs) shows that when the Rashba and Dresselhaus spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 I. R. de Assis , R. Raimondi , G. J. Ferreira

Based on the Keldysh formalism, the Boltzmann kinetic equation and the drift diffusion equation have been derived for studying spin polarization flow and spin accumulation under effect of the time dependent Rashba spin-orbit interaction in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. S. Tang , A. G. Mal'shukov , K. A. Chao

The magnetization dynamics of ferromagnets are often formulated in terms of the Landau-Lifshitz-Gilbert (LLG) equation. The reactive part of this equation describes the response of the magnetization in terms of effective fields, whereas the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Arne Brataas , Yaroslav Tserkovnyak , Gerrit E. W. Bauer

The coupling between a current and a domain wall is examined. In the presence of a finite current and the absence of a potential which breaks the translational symmetry, there is a perfect transfer of angular momentum from the conduction…

Strongly Correlated Electrons · Physics 2009-11-10 S. E. Barnes , S. Maekawa

We propose an unconditionally convergent linear finite element scheme for the stochastic Landau--Lifshitz--Gilbert (LLG) equation with multi-dimensional noise. By using the Doss-Sussmann technique, we first transform the stochastic LLG…

Numerical Analysis · Mathematics 2017-03-20 Beniamin Goldys , Joseph Grotowski , Kim-Ngan Le

We develop an immersed-boundary approach to modeling reaction-diffusion processes in dispersions of reactive spherical particles, from the diffusion-limited to the reaction-limited setting. We represent each reactive particle with a…

Numerical Analysis · Mathematics 2015-06-16 A. Pal Singh Bhalla , B. E. Griffith , N. A. Patankar , A. Donev

We show how, beginning with the Fokker--Planck equation for electrons emitting synchrotron radiation in a storage ring, the corresponding equation for spin motion can be constructed. This is an equation of the Bloch type for the…

Accelerator Physics · Physics 2011-04-20 K. Heinemann , D. P. Barber