English

Variational cluster approach to correlated electron systems in low dimensions

Strongly Correlated Electrons 2007-05-23 v3 Superconductivity

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.

Keywords

Cite

@article{arxiv.cond-mat/0303136,
  title  = {Variational cluster approach to correlated electron systems in low dimensions},
  author = {M. Potthoff and M. Aichhorn and C. Dahnken},
  journal= {arXiv preprint arXiv:cond-mat/0303136},
  year   = {2007}
}

Comments

4 pages, final version with minor changes

R2 v1 2026-07-22T10:47:32.599Z