Simple analysis for frequency increase in spin torque oscillation

Chiharu Mitsumata, Satoshi Tomita, Takeshi Seki, Masaki Mizuguchi

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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 languageEnglish
Article number6332855
Pages (from-to)3955-3957
Number of pages3
JournalIEEE Transactions on Magnetics
Issue number11
Publication statusPublished - 2012


  • 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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