Josephson junction in a thin film

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

Research output: Contribution to journalArticlepeer-review

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=λJ2L, 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/y2J√2λ L/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.

Original languageEnglish
Article number144501
Pages (from-to)1445011-1445019
Number of pages9
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume63
Issue number14
DOIs
StatePublished - 2001

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