Physics – Condensed Matter – Superconductivity
Scientific paper
1998-04-29
Theor.Math.Phys. 122 (2000) 390-401; Teor.Mat.Fiz. 122 (2000) 468-481
Physics
Condensed Matter
Superconductivity
18 pages, LaTeX, final version to be published in Theoretical and Mathematical Physics
Scientific paper
A quasi two-dimensional non-relativistic four-Fermi theory is studied at finite temperatures in the next-to-leading order approximation using the Coleman-Weinberg effective potential. The appearance of an imaginary part to the one-loop correction is discussed in the context of condensed matter theory where it is referred to as the Thouless criterion for superconductivity. By reference to the appropriate modified effective potential one may revise the Thouless criterion to obtain a critical temperature in next-to-leading order that, unlike the mean-field temperature, tends to zero in the two-dimensional limit in agreement with the Coleman theorem.
Quick Rachel M.
Sharapov Sergei G.
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