Effect of Josephson junction parameter spread on the performance of SQUID arrays

Fuente: arXiv
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Main Authors: Nieves, O. A., Labarias, M. A. Galí, Keser, A. C., Müller, K. -H, Mitchell, E. E.
Format: Preprint
Published: 2025
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_version_ 1866909731918970880
author Nieves, O. A.
Labarias, M. A. Galí
Keser, A. C.
Müller, K. -H
Mitchell, E. E.
author_facet Nieves, O. A.
Labarias, M. A. Galí
Keser, A. C.
Müller, K. -H
Mitchell, E. E.
contents Josephson junctions based on grain boundaries, such as those made of Yttrium Barium Copper Oxide (YBCO), exhibit inherent parameter spreads in their critical current and normal state resistance. This variation in junction properties leads to a decrease in array performance for magnetic sensing applications. Therefore, we must develop a quantitative understanding of how junction parameter spreads impact arrays with different designs. In this paper, we use numerical simulations to investigate how the ensemble averaged voltage modulation depth (eta) of one-dimensional SQUID arrays varies with the statistical spread in the junction parameters. In these calculations for arrays we vary the number of junctions, loop inductance and thermal noise strength. We show that eta decreases with increasing spread, and that this reduction is accelerated further by the number of junctions and SQUID cell inductance, but is robust to changes in the thermal noise strength.
format Preprint
id arxiv_https___arxiv_org_abs_2508_07685
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Effect of Josephson junction parameter spread on the performance of SQUID arrays
Nieves, O. A.
Labarias, M. A. Galí
Keser, A. C.
Müller, K. -H
Mitchell, E. E.
Superconductivity
Josephson junctions based on grain boundaries, such as those made of Yttrium Barium Copper Oxide (YBCO), exhibit inherent parameter spreads in their critical current and normal state resistance. This variation in junction properties leads to a decrease in array performance for magnetic sensing applications. Therefore, we must develop a quantitative understanding of how junction parameter spreads impact arrays with different designs. In this paper, we use numerical simulations to investigate how the ensemble averaged voltage modulation depth (eta) of one-dimensional SQUID arrays varies with the statistical spread in the junction parameters. In these calculations for arrays we vary the number of junctions, loop inductance and thermal noise strength. We show that eta decreases with increasing spread, and that this reduction is accelerated further by the number of junctions and SQUID cell inductance, but is robust to changes in the thermal noise strength.
title Effect of Josephson junction parameter spread on the performance of SQUID arrays
topic Superconductivity
url https://arxiv.org/abs/2508.07685