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

C. A. Linhares·A. P. C. Malbouisson·Y. W. Milla·I. Roditi
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Abstract

In the context of the Ginzburg--Landau theory for critical phenomena, we consider the Euclidean $λϕ^4+ηϕ^6$ 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.

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C. A. Linhares, A. P. C. Malbouisson, Y. W. Milla, I. Roditi. 2006-05-09. First-order phase transitions in superconducting films: A Euclidean model. https://doi.org/10.1103/physrevb.73.214525

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