Flux-flow Hall effect in clean type-II superconductors

Journal Article · Thu Jun 01 04:00:00 EDT 1995 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.51.15291· OSTI ID:54933

Kopnin, N B; Lopatin, A V ^[1]

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1. L. D. Landau Institute for Theoretical Physics, 117334 Moscow (Russian Federation)

We calculate the Ohmic and Hall components of the flux-flow conductivity for clean superconductors in a magnetic field {ital H}{much_lt}{ital H}{sub {ital c}2} and investigate the sign of the Hall effect. Each component of the conductivity consists of two contributions: from electrons localized in the vortex cores, and from electrons above the gap. These contributions are determined by the parameters {omega}{sub 0}{tau} and {omega}{sub {ital c}}{tau}, respectively, where {omega}{sub 0}{similar_to}{Delta}{sup 2}/{ital E}{sub {ital F}} is the distance between the energy levels in the vortex core, {omega}{sub {ital c}} is the cyclotron frequency ({omega}{sub {ital c}}{much_lt}{omega}{sub 0}), and {tau} is the relaxation time. In the superclean limit, {tau}{much_gt}{ital E}{sub {ital F}}/{Delta}{sup 2}, the Ohmic component is small and the Hall conductivity resembles that for the high-field regime in a normal metal. In a moderately clean case, {Delta}{sup {minus}1}{much_lt}{tau}{much_lt}{ital E}{sub {ital F}}/{Delta}{sup 2}, the Hall component is small. Its sign in the mixed state may differ from the sign in the normal state depending on the detailed structure of the Fermi surface. We conclude that the sign reversal can be intrinsic. We discuss implications of our results for mutual friction in superfluid {sup 3}He-{ital B}.

• OSTI ID: 54933
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 21 Vol. 51; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ELECTRIC CONDUCTIVITY
FERMI LEVEL
HALL EFFECT
HELIUM 3 B
MAGNETIC FIELDS
MAGNETIC FLUX
MIXED STATE
TYPE-II SUPERCONDUCTORS
VORTEX FLOW