De Luca R. Magnetic Properties of Josephson Junction Networks. An Introduct.2020

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The study of the magnetic response of Josephson junction networks can be useful in outlining the behaviour of existing superconducting electronic devices, in conceiving new types of magnetic sensors, and in describing the low-field magnetic properties of granular superconductors. In the present work a wide introduction to Josephson junction networks is provided. The Josephson equations are introduced by means of Ohta's semi-classical model and a simple description of the magnetic response of multiply connected superconductors is given. The analysis of the magnetic response of Josephson junction networks is gradually built up from simple interferometers to three-dimensional lattices of superconducting devices. The analytic description of these systems may be applied when fabricating ultrasensitive vectorial magnetic field sensors and interpreting the low-field magnetic properties of superconducting granular systems.
The Josephson Junction
Superconducting Systems in the Presence of a Magnetic Field
Superconducting Quantum Interference Devices
Thermal Fluctuations in Josephson Junctions and in Superconducting Quantum Interference Devices
One-dimensional Arrays of Over-damped Josephson Junctions
Two-dimensional Networks of Josephson Junctions
Superconducting Granular Systems
Three-dimensional Networks of Josephson Junctions
A Three-dimensional Superconducting Interferometer