A new behavioral-level model of superconducting Josephson junctions with Simulink

Josephson junctions based on superconducting materials are fundamental components for quantum detection, quantum communication and quantum computers. An accurate behavioral model of Josephson junctions is the prerequisite for predicting the response (or the behavior) of various superconducting circuits. In this study, we present a resistively and capacitively shunted junction model-based behavioral-level model for the current–voltage characteristics of Josephson junctions. This model accurately predicts the current–voltage characteristics and their temperature dependencies of Josephson junctions made of different materials under three typical working modes: underdamped voltage-driven, overdamped current-driven, and underdamped current-driven. Additionally, it forecasts the critical current and superconducting energy gap characteristics with respect to temperature, as well as the constraint relationship between the shunt resistance, superconducting energy gap, and critical current. Comparing the measured data with the simulation predictions, the model has an average accuracy of 89.28\(\%\), which demonstrate its reliability.