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Phys. Rev. B 72, 060411 (2005) [4 pages]

Efficient calculation of the antiferromagnetic phase diagram of the three-dimensional Hubbard model

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P. R. C. Kent1, M. Jarrell2, T. A. Maier3, and Th. Pruschke4
1University of Tennessee, Knoxville, Tennessee 37996, USA
2Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221, USA
3Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
4Institut für Theoretische Physik, Universität Göttingen, Friedrich-Hund-Platz 1, 37077 Göttingen, Germany

 See Also: Publisher's Note and Publisher's Note

Rapid Communication Received 25 May 2005; published 29 August 2005; publisher error corrected 12 September 2005

The dynamical cluster approximation (DCA) with Betts clusters is used to calculate the antiferromagnetic phase diagram of the three-dimensional 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.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevB.72.060411
DOI: 10.1103/PhysRevB.72.060411
PACS: 75.10.Lp, 75.10.Jm

See Also

Publisher's Note: P. R. Kent, M. Jarrell, T. A. Maier, and Th. Pruschke, Publisher's Note: Efficient calculation of the antiferromagnetic phase diagram of the three-dimensional Hubbard model [Phys. Rev. B72, 060411 (2005)], Phys. Rev. B 72, 109902 (2005)

Publisher's Note: Masatoshi Imada, Publisher's Note: Universality classes of metal-insulator transitions in strongly correlated electron systems and mechanism of high-temperature superconductivity [Phys. Rev. B 72, 075113 (2005)], Phys. Rev. B 72, 079902 (2005)

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