In this note we employ concurrently techniques of generalized zeta-functions and compactification methods introduced in previous publications, to study the Halperin-Lubensky-Ma theory of induced weak first-order phase transitions applied to type-I superconducting films. We obtain closed formulas to the critical temperature and to the size temperature as functions of the film thickness.
@article{arxiv.cond-mat/0402053,
title = {Halperin-Lubensky-Ma effect in type-I superconducting films},
author = {L. M. Abreu and C. de Calan and A. P. C. Malbouisson},
journal= {arXiv preprint arXiv:cond-mat/0402053},
year = {2009}
}