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arXiv:cond-mat/0609757

Statics of non uniform Josephson junction parallel arrays: model vs. experiment

Faouzi M. Boussaha, Jean-Guy Caputo, L. Loukitch, Morvan C. Salez

Published Sep 29, 2006• 1 citation
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Abstract

We study experimentally and numerically the zero-voltage supercurrent vs. magnetic field of non-uniform arrays of Josephson junctions parallel-connected by a superconducting stripline. The measured curves are complex, unique and in excellent agreement with numerical simulations using a specially developed model. Using this, we can optimize the arrays to have any desired interference pattern. Such new devices could find applications in magnetometry, quasiparticle mixers and detectors, flux-flow oscillators and superconducting electronics.

DOI
10.48550/arxiv.cond-mat/0609757

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We study experimentally and numerically the zero-voltage supercurrent vs. magnetic field of non-uniform arrays of Josephson junctions parallel-connected by a superconducting stripline. The measured curves are complex, unique and in excellent agreement with numerical simulations using a specially developed model. Using this, we can optimize the arrays to have any desired interference pattern. Such new devices could find applications in magnetometry, quasiparticle mixers and detectors, flux-flow oscillators and superconducting electronics.
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Abstract : We have fabricated and tested large scale arrays of Josephson junctions. Some devices have as many as 150,000 junctions in a single device. To aid in device design we have also developed a numerical simulation program in Matlab to simulate voltage magnetic field characteristics for these arrays. Our numerical simulation code supports the modeling of 2 dimensional array structures and takes into account mutual interactions between all of the squids in the array. The results are in excellent agreement with our experimental measurements. We have also performed measurements of the critical current noise in our Josephson junctions and have been testing arrays in flux locked loops.
We have studied the self-field effect on a parallel array of 21 Josephson junctions based on an ion-damaged barrier technology [1]. The device is made of 2 chips: a superconducting chip integrating the Josephson junction array, and another chip with single layer of normal metal (gold) patterned with a grid of parallel stripes. These chips are assembled in a piggy-back configuration, and wire bonded in such a way that the bias current flowing through the array can be drained in different positions with respect to the Josephson array. As expected, we observed that the antipeak of the voltage response to an applied magnetic field was shifted by the proximity of the drained current. In addition, we observed a change in the shape of the response which we attribute to a change of the supercurrent distribution in the array. This geometry will allow proper biasing of large parallel and 2D arrays of Josephson junctions.
Josephson junction arrays (JJAs) are engineered many-body quantum systems consisting of several superconducting islands connected by thin tunnel barriers - Josephson junctions (JJs). They are of interest both from a fundamental point of view (e.g. addressing questions of macroscopic quantum physics, providing model systems in which to study complex many-body phenomena) and from the prospect of technological applications (e.g. quantum computing, metrology, metamaterials). In this thesis we present various tools and techniques for the theoretical study of JJAs, and then put these tools to use in the modelling of two particular experiments on JJAs. In our presentation of the physics of JJAs, we emphasise phenomena unique to arrays (i.e. not seen in single junction devices such as qubits). We investigate charge transport through the the bilinear array, consisting of two linear chains of JJs, and show that it exhibits both Coulomb drag and depinning. We predict new phenomena arising from the interplay between Coulomb drag and depinning at voltages higher than have so far been experimentally reported. We then turn our attention to recent experiments in which planar JJAs were placed in 3-D microwave cavities, with vortices being injected via an externally applied magnetic eld. We calculate the impedance spectrum using linear response theory, which enables us to see when new vortices enter the system in the form of sharp changes in the resonance frequency.
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Josephson oscillations in a large series array of Josephson junctions designed as a superconducting microwave transmission line are studied. For descriptions of the Josephson junctions both the Stewart–McCumber model and the Werthamer model are used. The attenuation of the Josephson oscillations in the considered array is composed of two terms rising from the stripline and from the Josephson junctions. The latter one is of increasing significance for lower than usually applied drive frequencies.