Key points are not available for this paper at this time.
The superconducting phase transition is predicted to be weakly first order, because of effects of the intrinsic fluctuating magnetic field, according to a Wilson-Fisher -expansion analysis, as well as a generalized mean-field calculation appropriate to a type-I superconductor. Similar results hold for the phase transition from a smectic-A to a nematic liquid crystal.
Halperin et al. (Mon,) studied this question.