Snapshots on Vortex Dynamics

Abstract

Salient features of vortex dynamics in super media are summarized. Recent examples are: the demonstration of prominent role of topology in vortex dynamics; the solution to the Hall anomaly which once bothered Bardeen, de Gennes and many others; the unified microscopic treatment of both transverse and frictional forces on moving vortex. The fundamental dynamical equation of vortex matter can now be casted into the elegant form of quantum dissipative dynamics of Leggett. Together with the Kosterlitz-Thouless transition, we have finally reached a coherent picture on both thermodynamic and dynamical roles played by vortices. The key historical progresses are discussed with a broader perspective, to move into the post high $T_c$ superconductor era, the quantum era. References mentioned in the text and given at the end, though very incomplete, along with a list of a few outstanding open problems, may provide a reader a useful guidance and an interesting perspective.