Quantum Interference Properties of Double Josephson Junctions

Abstract

The dependence of the critical current $I_c$ on magnetic field $B$ in double Josephson tunnel junctions is discussed in a model which includes the dependence of junction critical currents, magnetic self-screening, and asymmetry. Account is taken both of static (zero-voltage) and dynamic (nonzero-voltage) behavior, the former controlling the over-all shape of $I_c\mathrm{}\left(B\right)\mathrm{}$ and the latter being important in nonadiabatic transitions between multiple states of the junction. The experimental $I_c\mathrm{}\left(B\right)\mathrm{}$ of double Sn-Sn tunnel junctions are interpreted in this model, and display effects of both static and dynamic origin.