Phase diagram of the Hubbard model: Beyond the dynamical mean field

M. Jarrell; Th Maier; M. H. Hettler; A. N. Tahvildarzadeh

doi:10.1209/epl/i2001-00557-x

Phase diagram of the Hubbard model: Beyond the dynamical mean field

M. Jarrell, Th Maier, M. H. Hettler, A. N. Tahvildarzadeh

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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.

Original language	English
Pages (from-to)	563-569
Number of pages	7
Journal	EPL
Volume	56
Issue number	4
DOIs	https://doi.org/10.1209/epl/i2001-00557-x
State	Published - Nov 11 2001
Externally published	Yes

Funding

Funders	Funder number
National Science Foundation
Directorate for Mathematical and Physical Sciences	9407194, 0073308

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10.1209/epl/i2001-00557-x

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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.",

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AU - Maier, Th

AU - Hettler, M. H.

AU - Tahvildarzadeh, A. N.

PY - 2001/11/11

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N2 - 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.

AB - 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.

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Phase diagram of the Hubbard model: Beyond the dynamical mean field

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