Variational cluster approach to correlated electron systems in low dimensions

Abstract

A self-energy-functional approach is applied to construct cluster approximations for correlated lattice models. It turns out that the cluster-perturbation theory (Senechal et al, PRL 84, 522 (2000)) and the cellular dynamical mean-field theory (Kotliar et al, PRL 87, 186401 (2001)) are limiting cases of a more general cluster method. Results for the one-dimensional Hubbard model are discussed with regard to boundary conditions, bath degrees of freedom and cluster size.

4 pages, final version with minor changes

References in corpus (9)

• Correlated Electrons in High Temperature Superconductors
• Cellular Dynamical Mean Field Approach to Strongly Correlated Systems
• Nonlocal Dynamical Correlations of Strongly Interacting Electron Systems
• The spectral weight of the Hubbard model through cluster perturbation theory
• Antiferromagnetism and d-wave superconductivity in cuprates: a uster DMFT study
• Self-energy-functional approach to systems of correlated electrons
• Cluster Perturbation Theory for Hubbard models
• Stripes in Doped Antiferromagnets: Single-Particle Spectral Weight
• Evolution of the stripe phase as a function of doping from a theoretical analysis of angle-resolved photoemission data

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