The thermally activated motion of vortex bundles and the anomalous Hall   effect in type-II conventional and high-Tc superconductors
  The anomalous Hall effect in type-II conventional and high-Tc superconductors is investigated based on the proposed novel theory of the thermally activated motion of vortex bundles over a directional-dependent energy barrier. Our calculations demonstrate clearly that anomalous Hall effect is induced by the competition between the Magnus force and the random collective pinning force of the vortex bundle. The Hall as well as the longitudinal resistivity for constant temperature and constant applied magnetic field of type-II superconducting films and bulk materials are calculated. The reentry phenomenon is also investigated. All the results are in good agreement with the experiments. 
Wei Yeu Chen and Ming Ju Chou