Collective pinning and the Hall effect in superconductors

Journal Article · Fri Sep 01 04:00:00 EDT 1995 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.52.7482· OSTI ID:115860

Liu, W; Clinton, T W; Lobb, C J ^[1]

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1. Center for Superconductivity Research, Department of Physics, University of Maryland, College Park, Maryland 20742 (United States)

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.

• OSTI ID: 115860
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 10 Vol. 52; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
EQUATIONS OF MOTION
HALL EFFECT
MAGNETIC FLUX
MIXED STATE
PERTURBATION THEORY
TYPE-II SUPERCONDUCTORS