A pr 2 00 8 Universal Scaling of Pinning Effect on Hall Anomaly near the Vortex Glass Transition and Doping Dependence Problems of Superconductors

We find universal scaling relations of the pinning effect on the Hall resistivity ρxy and Hall angle θH . Considering the extended power law form of ρxx and the microscopic analysis of σxy, we obtain unified ρxy equations for superconductors with and without double sign reversal. These equations reasonably explain the striking universality in doping dependence found by Nagoaka et al., which contradicts the prediction of the time dependent Ginzburg-Landau equation based on s-wave coupling theory [PRL 80,3594 (1998)]. A full comparison of experiment with prediction from theoretical models is proposed.