Comment on "First-order phase transitions of type-I superconducting films" [Phys. Rev. A 322 (2004) 111]

TL;DR

This paper critiques a previous study on superconducting films, clarifying that the original authors used an incorrect free energy model which led to false conclusions about phase transitions.

Contribution

It identifies and explains the error in the derivation of the effective free energy in the prior work on superconducting films.

Findings

The original derivation contained a fundamental mistake.

Correcting the free energy model alters the conclusions about phase transitions.

The analysis clarifies the proper theoretical approach for such systems.

Abstract

The authors of the paper indicated in the title derived an erroneous effective free energy of superconducting slabs (films) and this error led them to entirely wrong conclusions. Here we shall make clear the genesis of this mistake.