Low Temperature Physics: 41, 705 (2015); https://doi.org/10.1063/1.4930971
Физика Низких Температур: Том 41, Выпуск 9 (Сентябрь 2015), c. 908-916    ( к оглавлению , назад )

The Landau–Lifshitz equation in atomistic models

M.O.A. Ellis1, R.F.L. Evans1, T.A. Ostler1, J. Barker2, U. Atxitia3, O. Chubykalo-Fesenko4, and R.W. Chantrell1

1Department of Physics, University of York, York, YO10 5DD, United Kingdom

2Institute for Materials Research, Tohoku University, Sendai, Miyagi 980-8577, Japan

3 Fachbereich Physik and Zukunftskolleg, Universität Konstanz, Konstanz D-78457, Germany

4Instituto de Ciencia de Materiales de Madrid, CSIC, Cantoblanco, Madrid, 28049 Spain
E-mail: me521@york.ac.uk

Received May 9, 2015


The Landau–Lifshitz (LL) equation, originally proposed at the macrospin level, is increasingly used in Atomistic Spin Dynamic (ASD) models. These models are based on a spin Hamiltonian featuring atomic spins of fixed length, with the exchange introduced using the Heisenberg formalism. ASD models are proving a powerful approach to the fundamental understanding of ultrafast magnetization dynamics, including the prediction of the thermally induced magnetization switching phenomenon in which the magnetization is reversed using an ultra-fast laser pulse in the absence of an externally applied field. This paper outlines the ASD model approach and considers the role and limitations of the LL equation in this context.

PACS: 75. Magnetic properties and materials;
PACS: 75.10.Hk Classical spin models;
PACS: 75.78.–n Magnetization dynamics.

Ключевые слова: Landau–Lifshitz equation, atomistic spin models.

Published online: July 24, 2015