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Magnetic field dependence of the Josephson current in two-dimensional tunnel junctions

M. Florjańczyk, M. Jaworski

DOI 10.1103/PhysRevB.40.2128 · Physical Review B

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Abstract

We present a theoretical analysis of the large-area two-dimensional Josephson junction placed in an external magnetic field. The model is based on an exact analytical solution of the sine-Gordon equation in two spatial dimensions. A simple procedure is suggested for finding the static phase distribution φ(x,y) within the junction. Next, the total current is calculated as a function of an external magnetic field. Further possibilities as well as limitations of the method are also discussed.

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