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Intrinsic Fluctuations in a Superconducting Ring Closed with a Josephson Junction

J. KurkijärviLaboratory of Atomic and Solid State Physics, School of Applied and Engineering Physics, Cornell University, Ithaca, New York
1972en
ABI

Abstract

The distribution in the external flux at which a superconducting ring closed with a weak link admits a quantum of flux is determined assuming that the weak link can be treated as a Josephson junction. We find that this transition occurs at an appreciable fraction of the flux quantum from the theoretical critical external flux. To a first approximation the width of the distribution is proportional to the inductance of the ring and varies as ${T}^{\frac{2}{3}}{i}_{c}^{\ensuremath{-}\frac{1}{3}}$, where $T$ is the temperature and ${i}_{c}$ the critical current.

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