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Size effect in circularly symmetric, annular Josephson junctions and the role of an applied magnetic field

Qianghua Wang, Wei Wang, Xixian Yao

DOI 10.1103/PhysRevB.46.11730 · Physical Review B

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Abstract

The size effect in circularly symmetric, annular Josephson junctions is discussed in detail. For a junction of width W, we find that there exists a minimum inner radius ρmin for resonant soliton motion within the junction, with respect to the dissipative parameter and external magnetic field, and that the applied magnetic field plays an important role in reducing the size effect (ρmin decreases remarkably in the presence of a negative external magnetic field). Because of the size effect, the range of the first current step vanishes if the inner radius of the annular junction is smaller than ρmin. A qualitative interpretation is given for the size effect. On the basis of our results, future physical experiments are suggested.

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