First-order phase transitions in superconducting films: A Euclidean model

In the context of the Ginzburg--Landau theory for critical phenomena, we consider the Euclidean \(\lambda \phi ^4+\eta \phi^6\) model bounded by two parallel planes, a distance \(L\) separating them. This is supposed to describe a sample of a superconducting material undergoing a first-order phase t...

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Bibliographic Details
Published inarXiv.org
Main Authors Linhares, C A, Malbouisson, A P C, Milla, Y W, Roditi, I
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 09.05.2006
Subjects
Critical phenomena
Phase transitions
Superconducting films
Superconductivity
Temperature dependence
Transition temperature
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Summary:In the context of the Ginzburg--Landau theory for critical phenomena, we consider the Euclidean \(\lambda \phi ^4+\eta \phi^6\) model bounded by two parallel planes, a distance \(L\) separating them. This is supposed to describe a sample of a superconducting material undergoing a first-order phase transition. We are able to determine the dependence of the transition temperature \(T_{c}\) for the system as a function of \(L\). We show that \(% T_{c}(L)\) is a concave function of \(L\), in qualitative accordance with some experimental results. The form of this function is rather different from the corresponding one for a second-order transition.
ISSN:2331-8422
DOI:10.48550/arxiv.0605245