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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

Chapter:
(p.55) 4 The Atomistic Spin Dynamics Equation of Motion
Source:
Atomistic Spin Dynamics
Author(s):

Olle Eriksson

Anders Bergman

Lars Bergqvist

Johan Hellsvik

Publisher:
Oxford University Press
DOI:10.1093/oso/9780198788669.003.0004

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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