VORTEX DYNAMICS AND THE HALL ANOMALY - A MICROSCOPIC ANALYSIS

We present a microscopic derivation of the equation of motion for a vo rtex in a superconductor. A coherent view on vortex dynamics is obtain ed, in which both hydrodynamics and the vortex core contribute to the forces acting on a vortex. The competition between these two provides an interpretation of the observed sign change in the Hall angle in sup erconductors with mean free path l of the order of the coherence lengt h xi in terms of broken particle-hole symmetry, which is related to de tails of the microscopic mechanism of superconductivity.