Two-dimensional effects in Josephson junctions: Static properties

Jean-Guy Caputo; Nikos Flytzanis; Yuri Gaididei; Emmanuel Vavalis

doi:10.1103/PhysRevE.54.2092

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Two-dimensional effects in Josephson junctions: Static properties

Jean-Guy Caputo, Nikos Flytzanis, Yuri Gaididei, Emmanuel Vavalis

DOI 10.1103/PhysRevE.54.2092 · Physical Review E

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Abstract

We studied the dependence of the maximum tunneling current on external magnetic field for large area Josephson junctions with overlap boundary conditions. We used direct numerical solutions and developed a split Fourier mode method to study the electromagnetic behavior. The steady-state pattern consists of two terms, the first of which satisfies the in-line-like bias current boundary conditions and has zero fluxon content. The second is treated in a mode expansion in the y direction and only two terms are sufficient to reproduce the direct solution of the two-dimensional junction for widths up to 2π times the Josephson characteristic length. © 1996 The American Physical Society.