Issue
EPL
Volume 84, Number 2, October 2008
Article Number 27008
Number of page(s) 4
Section Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties
DOI http://dx.doi.org/10.1209/0295-5075/84/27008
Published online 14 October 2008
EPL, 84 (2008) 27008
DOI: 10.1209/0295-5075/84/27008

Euler equation of the optimal trajectory for the fastest magnetization reversal of nano-magnetic structures

X. R. Wang, P. Yan, J. Lu and C. He

Physics Department, The Hong Kong University of Science and Technology Clear Water Bay, Hong Kong SAR, China

phxwan@ust.hk

received 5 May 2008; accepted in final form 10 September 2008; published October 2008
published online 14 October 2008

Abstract
The Euler equation of the optimal reversal trajectory for the fastest magnetization reversal is obtained for an arbitrary nano-magnetic structure. The Euler equation is useful in designing a magnetic field pulse and/or a polarized electric current pulse in magnetization reversal for two reasons. 1) It is straightforward to obtain the solution of the Euler equation, at least numerically, for a given magnetic nano-structure characterized by its magnetic anisotropy energy. 2) After obtaining the optimal reversal trajectory for a given magnetic nano-structure, finding a proper field/current pulse is an algebraic problem instead of the original non-linear differential equation.

PACS
75.60.Jk - Magnetization reversal mechanisms.
75.75.+a - Magnetic properties of nanostructures.
85.70.Ay - Magnetic device characterization, design, and modeling.

© EPLA 2008