TY - JOUR

T1 - Josephson junction in a thin film

AU - Kogan, V. G.

AU - Dobrovitski, V. V.

AU - Clem, J. R.

AU - Mawatari, Yasunori

AU - Mints, R. G.

PY - 2001

Y1 - 2001

N2 - 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=λJ√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.

AB - 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=λJ√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.

UR - http://www.scopus.com/inward/record.url?scp=0034895234&partnerID=8YFLogxK

U2 - 10.1103/physrevb.63.144501

DO - 10.1103/physrevb.63.144501

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AN - SCOPUS:0034895234

SN - 0163-1829

VL - 63

SP - 1445011

EP - 1445019

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 14

M1 - 144501

ER -