Motion of the vortex lattice in a dirty type II superconductor

We reexamine here microscopically the transport properties of the vortex state in a dirty type II superconductor in the high-field region. We show that the previous theory by Caroli and Maki predicts the entropy carried by a single vortex line, which is consistent with recent experiments, provided the expression of the heat current is properly corrected. Furthermore, we show that a large heat delivered by vortex lines together with the normal thermoelectric effect, which persists even in the vortex state, results in a large Hall current in the vortex state. This may account for a large Hall effect observed by Niessenet al. in Nb-Ta alloys.