Fluxons interactions in a Josephson junction with a phase-shift |
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| Authors: | H Susanto JA Espínola-Rocha |
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| Institution: | a School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK
b Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003-4515, USA |
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| Abstract: | We consider a long Josephson junction with a discontinuity point characterized by a gauge phase-shift. The system is described by a modified sine-Gordon equation. We study, in particular, the interactions between a fluxon and a fractional fluxon. A perturbation theory is developed in the small phase-shift limit to understand the characteristics of the interaction. Finally, numerical computations of the threshold bias current and the threshold velocity for a fluxon running over a fractional fluxon are presented. |
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| Keywords: | Phase-shift Sine-Gordon equations Kink Fluxon |
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