Theory of Flux-Flow Resistivity near $H_{c2}$ for s-wave Type-II Superconductors

Abstract

This paper presents a microscopic calculation of the flux-flow resistivity ${\rho }_f$ for s-wave type-II superconductors with arbitrary impurity concentrations near the upper critical field $H_{c2}$. It is found that, as the mean free path $l$ becomes longer, ${\rho }_f$ increases gradually from the dirty-limit result of Thompson [Phys. Rev. B{\bf 1}, 327 (1970)] and Takayama and Ebisawa [Prog. Theor. Phys. {\bf 44}, 1450 (1970)]. The limiting behaviors suggest that ${\rho }_f(H)$ at low temperatures may change from convex downward to upward as $l$ increases, thus deviating substantially from the linear dependence ${\rho }_f\propto H/H_{c2}$ predicted by the Bardeen-Stephen theory [Phys. Rev. {\bf 140}, A1197 (1965)].