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

P. R. C. Kent, M. Jarrell, T. A. Maier, and Th. Pruschke
Phys. Rev. B 72, 060411(R) – Published 29 August 2005
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Abstract

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.

    • Received 25 May 2005
    • Publisher error corrected 12 September 2005

    DOI:https://doi.org/10.1103/PhysRevB.72.060411

    ©2005 American Physical Society

    Corrections

    12 September 2005

    Errata

    Authors & Affiliations

    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

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    Issue

    Vol. 72, Iss. 6 — 1 August 2005

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