A note on cluster methods for strongly correlated electron systems

Abstract

We develop, clarify and test various aspects of cluster methods dynamical mean field methods using a soluble toy model as a benchmark. We find that the Cellular Dynamical Mean Field Theory (C-DMFT) converges very rapidly and compare its convergence properties with those of the Dynamical Cluster Approximation (DCA). We propose and test improved estimators for the lattice self energy within C-DMFT.

5 pages, 3 figures; major changes

Cited by in corpus (61)

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• Cellular Dynamical Mean Field Theory for the 1D Extended Hubbard Model
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• Practical consequences of Luttinger-Ward functional multivaluedness for cluster DMFT methods
• Generalized dynamical mean-field theory in physics of strongly correlated systems
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• Coexistence of Superconductivity and Antiferromagnetism in the Hubbard model for cuprates
• The doping-driven evolution of the superconducting state of a doped Mott insulator: a key for the high temperature superconductivity
• Self-Consistent Green Function Embedding for Advanced Electronic Structure Methods Based on a Dynamical Mean-Field Concept
• Phase diagram and Fermi-liquid properties of the extended Hubbard model on the honeycomb lattice
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• Mott Transitions in the 2D Half-Filled Hubbard Model: Correlator Projection Method with Projective Dynamical Mean-Field Approximation
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• Coulomb correlations in the honeycomb lattice: role of translation symmetry
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• Fictive Impurity Approach to Dynamical Mean Field Theory: a Strong-Coupling Investigation
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• Benchmarking a semiclassical impurity solver for dynamical-mean-field theory: self-energies and magnetic transitions of the single-orbital Hubbard model
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• Ordering of Fe and Zn ions and magnetic properties of FeZnMo3O8
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• Validity of the Local Approximation in Iron- Pnictides and Chalcogenides
• Understanding High-Temperature Superconductors with Quantum Cluster Theories
• Local vs non-local correlation effects in interacting quantum spin Hall insulators
• Cluster Extended Dynamical Mean Field Approach and Unconventional Superconductivity
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• Density Matrix Embedding Theory and Strongly Correlated Lattice Systems
• Single- and two-particle finite size effects in interacting lattice systems