Revised Calculation of $\bm κ_2(T)$ for s-wave Type-II Superconductors

Details Revised Calculation of $\bm κ_2(T)$ for s-wave Type-II Superconductors Revised Calculation of $\bm κ_2(T)$ for s-wave Type-II Superconductors

2003-06-10

arxiv.org/abs/cond-mat/0306231v2

Phys. Rev. B 68, 184503 (2003)

Physics

Condensed Matter

Superconductivity

Extensively revised to include p-wave impurity scattering, results on $\kappa_{1}$, and comparisons with a two-dimensional sys

Scientific paper

10.1103/PhysRevB.68.184503

This paper presents revised calculations for the Maki parameters $\kappa_{1}$ and $\kappa_{2}$ and the pair potential $\Delta({\bf r})$ of s-wave type-II superconductors near the upper critical field $H_{c2}$ with arbitrary impurity concentration. It is found that Eilenberger's well-known results on $\kappa_{2}$ [Phys. Rev. {\bf 153}, 584 (1967)] are not correct quantitatively, which are modified appropriately. Calculations are also performed for a two-dimensional system with an isotropic Fermi surface. The results in the clean limit differ substantially from those in three dimensions with an spherical Fermi surface. This fact indicates the necessity of considering detailed Fermi-surface structures for a quantitative understanding of the parameters. The coefficient of $\Delta({\bf r})\propto(H_{c2}-B)^{1/2}$, which is basic to any theoretical evaluation of the thermodynamic and transport properties near $H_{c2}$, is obtained accurately.

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