Euler equation of the optimal trajectory for the fastest magnetization reversal of nano-magnetic structuresX. 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
received 5 May 2008; accepted in final form 10 September 2008; published October 2008
published online 14 October 2008
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.
75.60.Jk - Magnetization reversal mechanisms.
75.75.+a - Magnetic properties of nanostructures.
85.70.Ay - Magnetic device characterization, design, and modeling.
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