Berry's Phase, Josephson's Equation, and the Dynamics of Weak Link Superconductors and Their Vortices

We examine the dynamical consequences of Berry's phase for Josephson junctions, junction arrays, and their vortices. Josephson's equation and the related phase slip voltages are shown to be uneffected by Berry's phase. In an annular Josephson junction, Berry's phase is seen to generate a new current drive on a vortex. In the continuum limit, vortex dynamics in a 2D array is shown to map onto that of a 2D film. A Hall sign anomaly is expected in arrays; and the merits of arrays for studies of disorder on vortex motion is discussed.