Tuning the inductance of Josephson junction arrays without SQUIDs

Abstract

It is customary to use arrays of superconducting quantum interference devices (SQUIDs) for implementing magnetic field-tunable inductors. Here, we demonstrate an equivalent tunability in a (SQUID-free) array of single Al/AlOx/Al Josephson tunnel junctions. With the proper choice of junction geometry, a perpendicularly applied magnetic field bends along the plane of the superconductor and focuses into the tunnel barrier region due to a demagnetization effect. Consequently, the Josephson inductance can be efficiently modulated by the Fraunhoffer-type supercurrent interference. The elimination of SQUIDs not only simplifies the device design and fabrication, but also facilitates a denser packing of junctions and, hence, a higher inductance per unit length. As an example, we demonstrate a transmission line, the wave impedance of which is field-tuned in the range of $4-8\text{k}\Omega$, centered around the important value of the resistance quantum $h/(2e{)}^2\approx 6.5\text{k}\Omega$.

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• Bloch oscillations in a transmon embedded in a resonant electromagnetic environment
• High-Efficiency Tunable Microwave Photon Detector Based on a Semiconductor Double Quantum Dot Coupled to a Superconducting High-Impedance Cavity
• Circuit QED theory of direct and dual Shapiro steps with finite-size transmission line resonators
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