### Abstract

The spin torque oscillation (STO) due to magnetic resonance is investigated in term of the Landau-Lifshitz-Gilbert (LLG) equation. An analytic formula of the LLG equation with macro-spins describes a spin state that involves information of an oscillation frequency. The LLG equation can be transformed into an equation of a forced oscillation. The obtained equation includes a frequency of STO, an effective Gilbert damping factor, and an injected spin current.We show that the effective Gilbert damping is given by a linear function of the spin current. Contrastingly, the frequency of STO is not affected by the injected spin current. However, the time-dependent variation of the spin current, e.g., the pulsated spin current, possibly increases the frequency of STO.

Original language | English |
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Article number | 6332855 |

Pages (from-to) | 3955-3957 |

Number of pages | 3 |

Journal | IEEE Transactions on Magnetics |

Volume | 48 |

Issue number | 11 |

DOIs | |

Publication status | Published - 2012 Oct 29 |

### Keywords

- Forced oscillation
- Landau-Lifshitz-Gilbert equation
- Magnetic resonance
- Spin torque

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Electrical and Electronic Engineering

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## Cite this

*IEEE Transactions on Magnetics*,

*48*(11), 3955-3957. [6332855]. https://doi.org/10.1109/TMAG.2012.2201700