Josephson junction in a thin film

V. G. Kogan; V. V. Dobrovitski; J. R. Clem; Yasunori Mawatari; R. G. Mints

doi:10.1103/PhysRevB.63.144501

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Josephson junction in a thin film

V. G. Kogan, V. V. Dobrovitski, J. R. Clem, Yasunori Mawatari, R. G. Mints

DOI 10.1103/PhysRevB.63.144501 · Physical Review B

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Abstract

The phase difference φ(y) for a vortex at a line Josephson junction in a thin film attenuates at large distances as a power law, unlike the case of a bulk junction where it approaches exponentially the constant values at infinities. The field of a Josephson vortex is a superposition of fields of standard Pearl vortices distributed along the junction with the line density φ′(y)/2π. We study the integral equation for φ(y) and show that the phase is sensitive to the ratio l/Λ, where l=λJ2/λL, Λ=2λL2/d, λL, and λJ are the London and Josephson penetration depths, and d is the film thickness. For l≪Λ, the vortex “core” of the size l is nearly temperature independent, while the phase “tail” scales as lΛ/y2=λJ2λL/d/y2; i.e., it diverges as T→Tc. For l≫Λ, both the core and the tail have nearly the same characteristic length lΛ.