Fluxon dynamics in long Josephson junctions with nontrivial current-phase relation

A. Shutovskyi (), V. Sakhnyuk () and Y. Zolotaryuk ()
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A. Shutovskyi: Lesya Ukrainka Volyn National University
V. Sakhnyuk: Lesya Ukrainka Volyn National University
Y. Zolotaryuk: Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine

The European Physical Journal B: Condensed Matter and Complex Systems, 2022, vol. 95, issue 8, 1-8

Abstract: Abstract A novel second-order partial differential equation that describes the phase dynamics in the long Josephson junction and takes into account the flow of unpaired electrons across the junction is proposed. It has the form of the modified sine-Gordon equation with the nontrivial current–phase relation. The spatial behavior of the penetrated magnetic flux quantum (Josephson vortex or fluxon) is analyzed for the different values of the insulating layer transparency. The proposed equation of motion is used to investigate the dependence of the equilibrium fluxon velocity on the constant bias current for the different values of the insulating layer transparency. The self-consistent approach where the dissipation coefficient also depends on the layer transparency is applied. The resulting current–voltage characteristics (CVCs) have demonstrated better fluxon mobility for smaller values of the transparency coefficient. Graphic abstract

Date: 2022
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DOI: 10.1140/epjb/s10051-022-00397-8

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