I consider a Josephson junction crossing the middle of a thin rectangular superconducting strip of length $L$ and width $W$ subjected to a perpendicular magnetic induction $B$. I calculate the spatial dependence of the gauge-invariant phase difference across the junction and the resulting $B$ dependence of the critical current $I_c\left(B\right)$.

• Received 3 March 2010

DOI:https://doi.org/10.1103/PhysRevB.81.144515