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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 Damping Term, from First Principles

The Damping Term, from First Principles

(p.89) 6 The Damping Term, from First Principles
Atomistic Spin Dynamics

Olle Eriksson

Anders Bergman

Lars Bergqvist

Johan Hellsvik

Oxford University Press

In the previous chapters we described the basic principles of density functional theory, gave examples of how accurate it is to describe static magnetic properties in general, and derived from this basis the master equation for atomistic spin-dynamics; the SLL (or SLLG) equation. However, one term was not described in these chapters, namely the damping parameter. This parameter is a crucial one in the SLL (or SLLG) equation, since it allows for energy and angular momentum to dissipate from the simulation cell. The damping parameter can be evaluated from density functional theory, and the Kohn-Sham equation, and it is possible to determine its value experimentally. This chapter covers in detail the theoretical aspects of how to calculate theoretically the damping parameter. Chapter 8 is focused, among other things, on the experimental detection of the damping, using ferromagnetic resonance.

Keywords:   Gilbert damping, breathing Fermi surface, torque correlation model, linear response, intraband transition, interband transition, vertex correction, configurational average

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