Abstract
Using Eilenberger's equations in vortex symmetry, we calculate numerically the structure of an isolated flux line and the lower critical field of a type II superconductor as functions of temperature and impurity content. In order to describe in addition the low-induction regime of the mixed state, a circular-cell approximation is introduced and compared with recent exact results of the Eilenberger theory. The agreement is excellent, if the flux-line overlap is weak. Within this approach it is shown that the nature of the phase transition at the lower critical field depends very sensitively on anisotropies of the Fermi surface.
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Rammer, J., Pesch, W. & Kramer, L. Thermodynamic behaviour of type II superconductors at low induction for arbitrary temperature and impurity content. Z. Physik B - Condensed Matter 68, 49–56 (1987). https://doi.org/10.1007/BF01307863
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DOI: https://doi.org/10.1007/BF01307863