## Abstract

Theoretical calculations of optimal control paths minimizing the energy cost of the magnetization reversal in 1D magnetic nanowires are presented. The energy-efficient reversal mechanism is studied as a function of the nanowire length and Gilbert damping parameter. For short nanowires, the optimal reversal mechanism corresponds to a uniform rotation of magnetization. If the length of the wire exceeds a certain critical length defined by the material parameters, switching time and damping, a standing spin wave emerges during magnetization switching. Comparison between the calculated optimal control paths and minimum energy paths reveals that realization of high energy efficiency of switching does not necessarily translate to the minimization of the energy barrier between the target magnetic states.

Original language | English |
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Pages (from-to) | 294-300 |

Number of pages | 7 |

Journal | Nanosystems: Physics, Chemistry, Mathematics |

Volume | 11 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2020 |

### Bibliographical note

Funding Information:The authors would like to thank T. Sigurjónsdóttir for helpful discussions. This work was funded by the Russian Science Foundation (Grant No. 19-72-10138), the Icelandic Research Fund (Grant No. 184949-052), and the Alexander von Humboldt Foundation.

Publisher Copyright:

© 2020, ITMO University. All rights reserved.

## Other keywords

- Magnetic nanowire
- Magnetization switching
- Optimal control