Analytic Solution of Gilbert Damping in Landau-Lifshitz-Gilbert Equation in Magnetic Resonance due to Spin Torque Oscillation

C. Mitsumata; S. Tomita

doi:10.3379/msjmag.1206R004

Spin Electronics

Analytic Solution of Gilbert Damping in Landau-Lifshitz-Gilbert Equation in Magnetic Resonance due to Spin Torque Oscillation

C. Mitsumata, S. Tomita

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Keywords: Landau-Lifshitz-Gilbert equation, LLG equation, magnetic resonance, Gilbert damping factor, spin torque oscillation

JOURNAL FREE ACCESS

2012 Volume 36 Issue 4 Pages 301-303

DOI https://doi.org/10.3379/msjmag.1206R004

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Abstract

We theoretically study the Landau-Lifshitz-Gilbert equation in a magnetic resonant state due to spin transfer oscillation. An analytic formula of the Gilbert damping for the macroscopic spin is derived. The formula shows a linear relation between the effective Gilbert damping factor and the spin current.

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