English

Quantum Cluster Theories

Strongly Correlated Electrons 2009-11-10 v1

Abstract

Quantum cluster approaches offer new perspectives to study the complexities of macroscopic correlated fermion systems. These approaches can be understood as generalized mean-field theories. Quantum cluster approaches are non-perturbative and are always in the thermodynamic limit. Their quality can be systematically improved, and they provide complementary information to finite size simulations. They have been studied intensively in recent years and are now well established. After a brief historical review, this article comparatively discusses the nature and advantages of these cluster techniques. Applications to common models of correlated electron systems are reviewed.

Keywords

Cite

@article{arxiv.cond-mat/0404055,
  title  = {Quantum Cluster Theories},
  author = {Th. Maier and M. Jarrell and Th. Pruschke and M. H. Hettler},
  journal= {arXiv preprint arXiv:cond-mat/0404055},
  year   = {2009}
}

Comments

submitted to Reviews of Modern Physics