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

TL;DR

This paper explores how Berry's phase influences vortex dynamics in Josephson junctions and arrays, revealing new current drives and Hall sign anomalies, with implications for studying disorder effects.

Contribution

It demonstrates that Berry's phase affects vortex motion and current drive in Josephson systems, providing new insights into vortex dynamics and disorder effects.

Findings

Berry's phase generates a new current drive on vortices.

Vortex dynamics in arrays map onto 2D film behavior.

A Hall sign anomaly is predicted in arrays.

Abstract

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.