Determination of the current-phase relation in Josephson junctions by means of an asymmetric two-junction SQUID

An analytical approach that makes it possible to reconstruct the current-phase relation (CPR) in Josephson structures included in one of the arms of a two-junction superconducting quantum interference device (SQUID), where the second junction has a significantly higher critical current and a known (sinusoidal) CPR, has been developed. The developed methods of analytical and numerical studies of current-flow transformations in two-junction SQUIDs make it possible to reconstruct the CPR of a junction with a low critical current taking into account both the existence of the self-inductance of the interferometer contour and a possible asymmetry in the supply current system. The efficiency of this approach has been confirmed by the experimental study of niobium-aluminum/aluminum oxide-niobium test structures with the known CPR.