Interference pattern of a long diffusive Josephson junction

2007/07/03 by Gilles Montambaux, Montambaux, Gilles · 1 citation
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Material Dynamics and Properties #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Random lasers and scattering media #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.0707.0411

openalex publication_date 2007/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate the modulation by a magnetic field of the critical current of a long disordered Josephson junction in the diffusive limit, i.e. when the dimensions of the junction are larger that the elastic mean free path, and when the length L is much larger than the width w. Due to the averaging of the gauge invariant phase factor over diffusive trajectories, the well-known oscillations of the Fraunhofer pattern are smoothed out and replaced by an exponential decay at large field. The predicted pattern is universal, i.e., it is independent of the disorder strength. We point out an interesting relation with the physics of speckle correlations in optics of turbid media.

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• Representations of Josephson junction on the unit circle and the derivations of Mathieu operators and Fraunhofer patterns

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