Single fluxon in double stacked Josephson junctions: Analytic solution

Details Single fluxon in double stacked Josephson junctions: Analytic solution Single fluxon in double stacked Josephson junctions: Analytic solution

1998-12-16

arxiv.org/abs/cond-mat/9812272v1

Phys.Rev.B 60 (1999) 9313-9316

Physics

Condensed Matter

Superconductivity

4 pages, 3 figures

Scientific paper

10.1103/PhysRevB.60.9313

We derive an approximate analytic solution for a single fluxon in a double stacked Josephson junctions (SJJ's) for arbitrary junction parameters and coupling strengths. It is shown that the fluxon in a double SJJ's can be characterized by two components, with different Swihart velocities and Josephson penetration depths. Using the perturbation theory we find the second order correction to the solution and analyze its accuracy. Comparison with direct numerical simulations shows a quantitative agreement between exact and approximate analytic solutions. It is shown that due to the presence of two components, the fluxon in SJJ's may have an unusual shape with an inverted magnetic field in the second junction when the velocity of the fluxon is approaching the lower Swihart velocity.

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