Anomalous Gilbert damping and Duffing features of the superconductor-ferromagnet-superconductor φ0 Josephson junction

Yu. M. Shukrinov; I. R. Rahmonov; A. Janalizadeh; M. R. Kolahchi

doi:10.1103/PhysRevB.104.224511

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Anomalous Gilbert damping and Duffing features of the superconductor-ferromagnet-superconductor φ0 Josephson junction

Yu. M. Shukrinov, I. R. Rahmonov, A. Janalizadeh, M. R. Kolahchi

DOI 10.1103/PhysRevB.104.224511 · Physical Review B

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Abstract

We study the phase dynamics, IV characteristics, and magnetization dynamics of the φ0 Josephson junction at small values of spin-orbit interaction, ratio of the Josephson junction to magnetic energy, and Gilbert damping. We demonstrate that the coupled Landau-Lifshitz-Gilbert-Josephson dynamics is reduced to a scalar nonlinear Duffing oscillator. The resulting Duffing equation incorporates the Gilbert damping in a special way across the dissipative term and the restoring force. An anomalous shift of the ferromagnetic resonance frequency with decreasing Gilbert damping is found. We demonstrate that there is a critical damping value at which nonlinearity comes into play, and it changes the damping dependence of the ferromagnetic resonance.