Collective pinning and the Hall effect in superconductors
Wu Liu, T. W. Clinton, C. J. Lobb
DOI 10.1103/PhysRevB.52.7482 · Physical Review B
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Abstract
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 ρxy∝ρxx2 holds, but no sign reversal in ρxy is predicted. The Hall conductivity is independent of pinning to the first nonvanishing order of the perturbation calculation.
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