MOTION OF VACANCIES IN A PINNED VORTEX LATTICE - ORIGIN OF THE HALL ANOMALY

Physical arguments are presented to show that the Hall anomaly is an e ffect of the vortex many-body correlation rather than that of an indiv idual vortex. Quantitatively, the characteristic energy scale in the p roblem, the vortex vacancy formation energy, is obtained for thin film s. At low temperatures a scaling relation between the Hall and longitu dinal resistivities is found, with the power depending on sample detai ls. Near the superconducting transition temperature and for small magn etic fields the Hall conductivity is found to be proportional to the i nverse of the magnetic field and to the quadratic of the difference be tween the measured and the transition temperatures.