Temperature dependence of the magnetization in the mixed state of superconducting alloys

The theory of Abrikosov of the immediate subcritical region in the mixed state is extended by means of the generalized Ginzburg-Landau theory to temperatures belowT _c and arbitrary mean free pathl of the electrons. The results for the magnetization and the free energy can still be presented in the form derived by Abrikosov apart from the fact thatκ is replaced by a new parameterκ ₂(T). The slope of the curveκ ₂/κ versust=T/T _c att=1 is found to decrease monotonically from ?0.105 to — (1.367-0.136κ ^?2) asl increases from zero to infinity. The results for short mean free paths are consistent with experiment, in particular,κ ₂ is always larger thanκ in the vicinity ofT _c . But the experimental temperature dependence ofκ ₂/κ in pure Nb is much higher than the theoretical one.