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- W1985402004 abstract "The post-Gaussian effective potential in $D=2+2ensuremath{epsilon}$ dimensions is evaluated for the Ginzburg--Landau theory of superconductivity. Two- and three-loop integrals for the post-Gaussian correction terms in $D=2+2ensuremath{epsilon}$ dimensions are calculated and $ensuremath{epsilon}$ expansions for these integrals are constructed. In $D=2+2ensuremath{epsilon}$ fractal dimensions the Ginzburg--Landau parameter turned out to be sensitive to $ensuremath{epsilon}$ and the contribution of the post-Gaussian term is larger than that for $D=3$. Adjusting $ensuremath{epsilon}$ to the recent experimental data on $ensuremath{kappa}(T)$ for the high-${T}_{c}$ cuprate superconductor ${mathrm{Tl}}_{2}{mathrm{Ca}}_{2}{mathrm{Ba}}_{2}{mathrm{Cu}}_{3}{mathrm{O}}_{10}$, we found that $ensuremath{epsilon}=0.21$ is the best choice for this material. The result clearly shows that, in order to understand high-${T}_{c}$ superconductivity, it is necessary to include the fluctuation contribution as well as the contribution from the dimensionality of the sample. The method gives a theoretical tool to estimate the effective dimensionality of samples." @default.
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- W1985402004 date "2005-01-26" @default.
- W1985402004 modified "2023-10-18" @default.
- W1985402004 title "Ginzburg–Landau theory of superconductivity at fractal dimensions" @default.
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- W1985402004 doi "https://doi.org/10.1103/physrevb.71.024518" @default.
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