Physics – Condensed Matter – Superconductivity
Scientific paper
2001-10-17
Phys. Rev. B 71, 054508 (2005)
Physics
Condensed Matter
Superconductivity
4 pages, 5 figures
Scientific paper
10.1103/PhysRevB.71.054508
We study the normal state and the superconducting transition in the Attractive Hubbard Model in three dimensions, using self-consistent diagrammatics. Our results for the self-consistent $T$-matrix approximation are consistent with 3D-XY power-law critical scaling and finite-size scaling. This is in contrast to the exponential 2D-XY scaling the method was able to capture in our previous 2D calculation. We find the 3D transition temperature at quarter-filling and $U=-4t$ to be $T_c=0.207t$. The 3D critical regime is much narrower than in 2D and the ratio of the mean-field transition to $T_c$ is about 5 times smaller than in 2D. We also find that, for the parameters we consider, the pseudogap regime in 3D (as in 2D) coincides with the critical scaling regime.
Engelbrecht Jan R.
Zhao Hongbo
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