Optimal control of magnetization reversal in a monodomain particle by means of applied magnetic field

Abstract

A complete analytical solution to the optimal reversal of a macrospin with easy-axis anisotropy is presented. Optimal control path minimizing the energy cost of the reversal is identified and used to derive time-dependent direction and amplitude of the optimal switching field. The minimum energy cost of the reversal scales inversely with the switching time for fast switching, follows an exponential asymptotics for slow switching and reaches the lower limit proportional to the energy barrier between the target states and to the damping parameter at infinitely long switching time. For a given switching time, the energy cost is never smaller than that for a free macrospin. This limitation can be bypassed by adding a hard anisotropy axis which activates the internal torque in the desired switching direction, thereby significantly reducing the energy cost. Comparison between the calculated optimal control path and minimum energy path reveals that optimal control does not translate to the minimization of the energy barrier, but signifies effective use of the system's internal dynamics to aid the desired magnetic transition.

References in corpus (5)

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Cited by in corpus (2)

• Optimal protocol for spin-orbit torque switching of a perpendicular nanomagnet
• Reduction of energy cost of magnetization switching in a biaxial nanoparticle by use of internal dynamics