Young Scientists and Specialists Association Workshop Alushta2020 Peculiarities

Young Scientists and Specialists Association Workshop Alushta-2020 Peculiarities of the dynamics of the Phi-0 Josephson junction along the current-voltage characteristic Rahmonov Ilhom 1, 2 in colaboration with Shukrinov Yury, 1, 3 BLTP, Joint Institute for Nuclear research, Dubna, Russia Umarov Physical and Technical institute, TAS, Dushanbe, Tajikistan 3 Dubna State University, Dubna, Russia 1 2 26 September – 3 October 2020 Alushta

Outline Introduction Josephson effect and Josephson junction Phi-0 Josephson junction Motivation Dynamical equations Results Ferromagnetic resonance in Phi-0 Josephson junction Effect of model parameters on the ferromagnetic resonance Magnetization precession along the IV – characteristic Manifestation of chaos in Phi-0 junction along the IV - characteristic Conclusion

Introduction

Josephson effect and Josephson junction

Types of Josephson junctions Point Junctions Superconducting bridges Natural stacks in HTS

Phi-0 Josephson junction ► In SFS Josephson junction, spin orbit coupling in the ferromagnetic layer, leads to the mechanism of direct coupling between magnetic moment and superconducting current ► This type of the Josephson junction is called Phi-0 junction. A. Buzdin, Phys. Rev. Lett. 101, 107005 (2008). F. Konschelle and A. Buzdin, Phys. Rev. Lett. 102, 017001 (2009)

Motivation ► Investigation of the dynamical behavior of the magnetization along the IV – characteristic of Phi 0 Josephson junction ► Clarification of the effect of magnetic precession on IV– characteristic of Phi-0 junction

Landau – Lifshitz - Gilbert equation Dynamical equations of Josephson junction The appropriate candidate for the experimental verification Permalloy doped with Pt Pt/Co bilayer, Mn. Si or Fe. Ge (Ferromagnet without inversion symmetry) r ~ 0. 1 – 1, G ~ 0. 1 - 100. The typical ferromagnetic resonance frequency is �F =10 GHz

Results

Ferromagnetic resonance in Phi-0 Josephson junction

Analytical approaches on ferromagnetic resonance

Effect of model parameters on FM resonance Observed resonance is the well known damped resonance

Magnetization precession along the IV - characteristic

Magnetization trajectories along the IV - characteristic 1 2 a

Magnetization trajectories along the IV - characteristic 2 b 2 c-1 2 c-2 2 d

Magnetization trajectories along the IV - characteristic 2 e 2 f 2 g 2 h

Manifestation of chaos in Phi-0 junction along the IV - characteristic

Conclusions ► We have shown the realization of ferromagnetic resonance in Phi-0 Josephson junction. ► We demonstrate that due to the ferromagnetic resonance on the IVcharacteristic appears the resonance branch ► We present the realization of the different types of magnetization precession along the IV – characteristic due to the excitation of additional oscillating modes ► We demonstrate the manifestation of chaos in the Phi-0 junction along the IV – characteristic

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