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Phase Diagram of the Hubbard Model: Beyond the Dynamical Mean Field

arXiv:cond-mat/0011282 · doi:10.1209/epl/i2001-00557-x

Abstract

The Dynamical Cluster Approximation (DCA) is used to study non-local corrections to the dynamical mean field phase diagram of the two-dimensional Hubbard model. Regions of antiferromagnetic, d-wave superconducting, pseudo-gapped non-Fermi liquid, and Fermi liquid behaviors are found, in rough agreement with the generic phase diagram of the cuprates. The non-local fluctuations beyond the mean field both suppress the antiferromagnetism and mediate the superconductivity.

4 pages, 5 eps figures, submitted to PRL