Physical Review B (Rapid Communications) 72 060411 (2005)
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The Dynamical Cluster Approximation with Betts clusters is used to calculate the antiferromagnetic phase diagram of the 3D Hubbard model at half filling. Betts clusters are a set of periodic clusters which best reflect the properties of the lattice in the thermodynamic limit and provide an optimal finite-size scaling as a function of cluster size. Using a systematic finite-size scaling as a function of cluster space-time dimensions, we calculate the antiferromagnetic phase diagram. Our results are qualitatively consistent with the results of Staudt et al. [Eur. Phys. J. B 17 411 (2000)], but require the use of much smaller clusters: 48 compared to 1000.
Supplementary data for this paper:2D table of Betts clusters
3D table of Betts clusters
Note: although we believe these tables of clusters will be sufficient for most simulation purposes, we would be happy to generate additional Betts clusters on request.
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