The Landau-Lifshitz equation in atomistic models

Abstract

The Landau-Lifshitz (LL) equation, originally proposed at the macrospin level, is increasingly used in Atomistic Spin Dynamic (ASD) models. The 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 magnetisation dynamics, including the prediction of the thermally induced magnetisation switching phenomenon in which the magnetisation is reversed using an ultrafast laser pulse in the absence of an externally applied field. The paper outlines the ASD model approach and considers the role and limitations of the LL equation in this context.

9 pages, 1 figure

References in corpus (6)

• All-optical control of ferromagnetic thin films and nanostructures
• Quantitative simulation of temperature dependent magnetization dynamics and equilibrium properties of elemental ferromagnets
• Two magnon bound state causes ultrafast thermally induced magnetisation switching
• Ultra-fast spin dynamics: the effect of colored noise
• Ultrafast thermally induced magnetic switching in synthetic ferrimagnets
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