https://doi.org/10.1140/epjb/s10051-022-00397-8
Regular Article – Solid State and Materials
Fluxon dynamics in long Josephson junctions with nontrivial current-phase relation
1
Lesya Ukrainka Volyn National University, 13 Voli Avenue, 43025, Lutsk, Ukraine
2
Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine, 14-b Metrologichna street, 03143, Kyiv, Ukraine
Received:
8
June
2022
Accepted:
6
August
2022
Published online:
23
August
2022
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.
The original online version of this article was revised: Eq. 23 has been corrected due to a typesetting mistake.
A correction to this article is available online at https://doi.org/10.1140/epjb/s10051-022-00419-5.
Copyright comment corrected publication 2022
Copyright comment corrected publication 2022
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2022. corrected publication 2022. corrected publication 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
