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A theory of flux flow useful for low- κ superconductors is given where the electrodynamics is nonlocal. Fields and chemical potential gradients are induced by a transport current which causes the vortex to move with velocity v → L . These are determined self-consistently by the requirement that they generate a supercurrent to correspond to the displacement of a static vortex and compensate for scattering of thermally excited quasiparticles. Making use of an approximate analytic solution for a static vortex by Kramer and Pesch, it is shown that for the case of pure ( l ≫ ξ 0 ) superconductors at low temperatures ( T ≲ 0.5 T c ) there is no backflow. The component of v → L in the direction of the transport current is the transport velocity, a result of the Hall effect on the bound states in the vortex core.
Physical Review B – American Physical Society (APS)
Published: Oct 1, 1975
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