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Atomistic Spin DynamicsFoundations and Applications$
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Olle Eriksson, Anders Bergman, Lars Bergqvist, and Johan Hellsvik

Print publication date: 2017

Print ISBN-13: 9780198788669

Published to Oxford Scholarship Online: May 2017

DOI: 10.1093/oso/9780198788669.001.0001

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The Atomistic Spin Dynamics Equation of Motion

The Atomistic Spin Dynamics Equation of Motion

(p.55) 4 The Atomistic Spin Dynamics Equation of Motion
Atomistic Spin Dynamics

Olle Eriksson

Anders Bergman

Lars Bergqvist

Johan Hellsvik

Oxford University Press

From the information obtained in DFT, in particular the magnetic moments and the Heisenberg exchange parameters, one has the possibility to make a connection to atomistic spin-dynamics. In this chapter the essential features of this connection is described. It is also discussed under what length and time-scales that this approach is a relevant approximation. The master equation of atomistic spin-dynamics is derived, and discussed in detail. In addition we give examples of how this equation describes the magnetization dynamics of a few model systems.

Keywords:   Atomistic spin dynamics, equation of motion, adiabatic approximation, atomic moment approximation, Landau-sLifshitz equation, Landau-Lifshitz-Gilbert equation, magnetic Hamiltonian

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