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Cluster Dynamical Mean Field Theory

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Strongly Correlated Systems

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 171))

Abstract

Cluster dynamical mean-field theory is an extension of dynamical mean-field theory (DMFT) where the single-site impurity is replaced with a cluster of sites with open boundary conditions. Compared with single-site DMFT, this takes into account short-range correlations exactly and can probe the presence of broken-symmetry phases such as d-wave superconductivity and antiferromagnetism. This chapter reviews the basic CDMFT procedure, as well as issues related to the use of an exact diagonalization solver for the impurity problem. The QMC solvers are also briefly reviewed, as well as results on the Mott transition and on models for the cuprates.

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Notes

  1. 1.

    We have seen, for instance, that the exact value of the critical chemical potential μgapin the one-dimensional Hubbard model cannot be recovered with an infinite bath [9].

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Acknowledgments

Discussions with A-M. Tremblay and P. Sémon are gratefully acknowledged. Computational resources for this review were provided by RQCHP and Compute Canada.

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Authors and Affiliations

  1. Département de Physique, Université de Sherbrooke, Sherbrooke, QC, Canada, J1K 2R1

    David Sénéchal

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  1. David Sénéchal
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Correspondence to David Sénéchal .

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Editors and Affiliations

  1. Dipartimento di Fisica "E.R. Caianiello", Università degli Studi di Salerno, Via Ponte don Melillo, Fisciano (SA), 84084, Italy

    Adolfo Avella

  2. Dipartimento di Fisica "E.R. Caianiello", Università degli Studi di Salerno, Via Ponte don Melillo, Fisciano (SA), 84084, Italy

    Ferdinando Mancini

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Sénéchal, D. (2012). Cluster Dynamical Mean Field Theory. In: Avella, A., Mancini, F. (eds) Strongly Correlated Systems. Springer Series in Solid-State Sciences, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21831-6_11

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  • DOI: https://doi.org/10.1007/978-3-642-21831-6_11

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