VORTEX DYNAMICS AND THE HALL ANOMALY - A MICROSCOPIC ANALYSIS

We present a microscopic derivation of the equation of motion for a vortex in a superconductor. A coherent view on vortex dynamics is obtained, 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 superconductors with mean free path l of the order of the coherence length xi in terms of broken particle-hole symmetry, which is related to details of the microscopic mechanism of superconductivity.