COLLECTIVE PINNING AND THE HALL-EFFECT IN SUPERCONDUCTORS

We calculate the mixed-state longitudinal and Hall resistivity of supe rconductors based on the perturbation approach of Schmid and Larkin wi th a frictional force of the form proposed by Vinen and Warren under t he influence of randomly distributed weak point pinning centers. The l ongitudinal resistivity has the Bardeen-Stephen behavior in the flux-f low region. In the weak collective pinning case, for either sample thi ckness much smaller or much greater than the penetration depth, scalin g rho(xy)(p)roportional to<rho(xx)(2) holds, but no sign reversal in r ho(xy) is predicted. The Hall conductivity is independent of pinning t o the first nonvanishing order of the perturbation calculation.