The high-temperature perturbative expansions for the thermal quantities of a type II superconducting film are extrapolated to the critical region near H c2 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.
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Giovanni Ruggeri (1979) studied this question.
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