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Efficient calculation of the antiferromagnetic phase diagram of the 3D Hubbard model

P. R. C. Kent·M. Jarrell·T. A. Maier·Th. Pruschke
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Abstract

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.

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P. R. C. Kent, M. Jarrell, T. A. Maier, Th. Pruschke. 2005-06-14. Efficient calculation of the antiferromagnetic phase diagram of the 3D Hubbard model. https://doi.org/10.1103/physrevb.72.060411

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