Stability analysis of static solutions in a Josephson junction

Details Stability analysis of static solutions in a Josephson junction Stability analysis of static solutions in a Josephson junction

2000-10-22

arxiv.org/abs/cond-mat/0010335v1

Supercond. Sci. Technol. 13 (2000) 423-438

Physics

Condensed Matter

Superconductivity

36 pages with 17 figures

Scientific paper

10.1088/0953-2048/13/4/316

We present all the possible solutions of a Josephson junction with bias current and magnetic field with both inline and overlap geometry, and examine their stability. We follow the bifurcation of new solutions as we increase the junction length. The analytical results, in terms of elliptic functions in the case of inline geometry, are in agreement with the numerical calculations and explain the strong hysteretic phenomena typically seen in the calculation of the maximum tunneling current. This suggests a different experimental approach based on the use, instead of the external magnetic field the modulus of the elliptic function or the related quantity the total magnetic flux to avoid hysteretic behavior and unfold the overlapping $I_{max}(H)$ curves.

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