
pmid: 9979694
We calculate the mixed-state longitudinal and Hall resistivity of superconductors based on the perturbation approach of Schmid and Larkin with a frictional force of the form proposed by Vinen and Warren under the influence of randomly distributed weak point pinning centers. The longitudinal resistivity has the Bardeen-Stephen behavior in the flux-flow region. In the weak collective pinning case, for either sample thickness much smaller or much greater than the penetration depth, scaling {rho}{sub {ital x}{ital y}}{proportional_to}{rho}{sub {ital x}{ital x}}{sup 2} holds, but no sign reversal in {rho}{sub {ital x}{ital y}} is predicted. The Hall conductivity is {ital independent} of pinning to the first nonvanishing order of the perturbation calculation.
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