Nonlinear Magnetization Dynamics in Nanosystems

by Isaak D. Mayergoyz, Giorgio Bertotti, Claudio Serpico

As data transfer rates increase within the magnetic recording industry, improvements in device performance and reliability crucially depend on the thorough understanding of nonlinear magnetization dynamics at a sub-nanoscale level. This book offers a modern, stimulating approach to the subject of nonlinear magnetization dynamics by discussing important aspects such as the Landau-Lifshitz-Gilbert (LLG) equation, analytical solutions, and the connection between the general topological and structural aspects of dynamics. An advanced reference for the study and understanding of nonlinear magnetization dynamics, it addresses situations such as the understanding of spin dynamics in short time scales and device performance and reliability in magnetic recording. Topics covered include nonlinear magnetization dynamics and the Landau-Lifshitz-Gilbert equation, nonlinear dynamical systems, spin waves, ferromagnetic resonance and pulsed magnetization switching. The book explains how to derive exact analytical solutions for the complete nonlinear problem and emphasises the connection between the general topological and structural aspects of nonlinear magnetization dynamics and the discretization schemes better suited to its numerical study. It is an exceptional research tool providing an advanced understanding of the study of magnetization dynamics in situations of fundamental and technological interest.

480 pages, Hardcover

First published November 1, 2008

Reviews

[minhhai · Rating 5 out of 5]

Excellent study on nonlinear magnetization dynamics. This book covers important features and topics in magnetization dynamics such as precessional dynamics/switching, spin-transfer torque and especially stochastic process. The last chapter presents an accurate and practical method for micro magnetic simulation.

Note that the book targets a small audience of researchers on magnetism in nanostructures. Those who don't have such background may find the book hard to follow.

That being said, there're many interesting discussions presented in the book: energy landscape (minima, maxima and separatrices), limit circles in the presence of damping and spin-transfer torque or microwave excitation, drift term due to stochastic variation, etc. Most problems are analytically solved for simple systems, usually with high level of symmetry, using a series of techniques in vector calculus, integral calculus, Melnikov function, etc.

Some minor weak points: Some chapters (e.g. chapter 10 - stochastic) have a long streak of maths treaments without clarifying its objectives that can easily drown readers. Chapter 7 gets the equation numbers messed up, and because chapter 8 refers frequently to chapter 7, those 2 chapters are hard to follow.