Abstract
We show how a systematic improvement can be made on the nonperturbative parquetapproximation method which was previously used to study the effect of thermalfluctuations in vortex liquids in high temperature superconductors. This is achieved byincluding an infinite subset of Feynman diagrams contributing to the renormalizedfour-point vertex function of the Ginzburg–Landau model, which was omitted in theoriginal approximation. We find that the growing crystalline order in the vortex liquid ismore pronounced in the improved approximation. In particular, the second and third peaksin the liquid structure factor, which appeared as one peak in the original approximation,are now resolved.
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