Critical region of a type II superconducting film near Hc2: rational approximants

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Abstract
The high-temperature perturbative expansions for the thermal quantities of a type II superconducting film are extrapolated to the critical region near Hc2 by means of new rational approximants of the Pade type. The new approximants are forced to reproduce the leading correction to the flux lattice contribution on the low-temperature side of the transition. Compared to those previously considered in the literature: (i) the mutual consistency of the approximants is improved: and (ii) they are nearer to the exact solution of the zero-dimensional Landau-Ginsburg model.