Devil's Staircases in SFS Josephson Junctions

Abstract

We study the effect of coupling between the superconducting current and magnetization in the superconductor/ferromagnet/superconductor Josephson junction under an applied circularly polarized magnetic field. Manifestation of ferromagnetic resonance in the frequency dependence of the amplitude of the magnetization and the average critical current density is demonstrated numerically. The IV-characteristics show subharmonic steps that form devil's staircases, following a continued fraction algorithm. The origin of the found steps is related to the effect of the magnetization dynamics on the phase difference in the Josephson junction. The dynamics of our system is described by a generalized RCSJ model coupled to the Landau-Lifshitz-Gilbert equation. In the suplement we justify analytically the appearance of the fractional steps in IV-characteristics of the superconductor/ferromagnet/superconductor Josephson junction.

10 pages, 4 figures

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Cited by in corpus (10)

• Thermal noise effects on the magnetization switching of a ferromagnetic anomalous Josephson junction
• Tunable planar Josephson junctions driven by time-dependent spin-orbit coupling
• Bifurcation structure and chaos in nanomagnet coupled to Josephson junction
• Switching current distributions in ferromagnetic anomalous Josephson junctions
• Buzdin, Shapiro and Chimera Steps in ${\phi }_0$ Josephson Junctions
• Collective magnetic and plasma excitations in Josephson $\psi$ junctions
• Resonance phenomena in a nanomagnet coupled to a Josephson junction under external periodic drive
• Superluminal Propagation of Composite Collective Modes in Superconductor-Ferromagnet Heterostructures
• Microwave induced tunable subharmonic steps in superconductor-ferromagnet-superconductor Josephson junction
• Originality of resonance and locking phenomena in SFS ${\phi }_0$ Josephson junction