Halperin-Lubensky-Ma effect in type-I superconducting films

TL;DR

This paper investigates how the Halperin-Lubensky-Ma effect influences phase transitions in type-I superconducting films, providing formulas for critical and size temperatures based on film thickness.

Contribution

It introduces a combined use of generalized zeta-functions and compactification techniques to analyze phase transitions in superconducting films, deriving explicit formulas.

Findings

Formulas for critical temperature as a function of film thickness

Formulas for size temperature as a function of film thickness

Analysis of weak first-order phase transitions in superconducting films

Abstract

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.