Anomalous Gilbert Damping and Duffing Features of the SFS {\boldmath ${\phi }_0$} Josephson Junction

Abstract

We demonstrate unusual features of phase dynamics, IV-characteristics and magnetization dynamics of the ${\phi }_0$ Josephson junction at small values of spin-orbit interaction, ratio of Josephson to magnetic energy and Gilbert damping. In particular, an anomalous shift of the ferromagnetic resonance frequency with an increase of Gilbert damping is found. The ferromagnetic resonance curves show the Duffing oscillator behaviour, reflecting the nonlinear nature of Landau-Lifshitz-Gilbert (LLG) equation. Based on the numerical analysis of each term in LLG equation we obtained an approximated equation demonstrated both damping effect and Duffing oscillator features. The resulting Duffing equation incorporates the Gilbert damping in a special way across the dissipative term and the restoring force. A resonance method for the determination of spin-orbit interaction in noncentrosymmetric materials which play the role of barrier in ${\phi }_0$ junctions is proposed.

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• Locking of magnetization and Josephson oscillations at ferromagnetic resonance in ${\phi }_0$ junction under external radiation
• Thermal local quantum uncertainty in a two-qubit-superconducting system under decoherence
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• Chaotic magnetization dynamics in magnetic Duffing oscillator
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• Superluminal Propagation of Composite Collective Modes in Superconductor-Ferromagnet Heterostructures
• Intrinsic space-time crystalline order in a hybrid Josephson junction
• Effects of magnonic Kerr nonlinearity on magnon-polaritons with a soft-mode
• Originality of resonance and locking phenomena in SFS ${\phi }_0$ Josephson junction