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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

DOI 10.1103/PhysRevB.73.214525 · Physical Review B

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Abstract

In the context of the Ginzburg-Landau theory for critical phenomena, we consider the Euclidean λϕ4+ηϕ6 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 Tc for the system as a function of L. We show that Tc(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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