Quantum Cluster Theories

Details Quantum Cluster Theories Quantum Cluster Theories

2004-04-02

arxiv.org/abs/cond-mat/0404055v1

Physics

Condensed Matter

Strongly Correlated Electrons

submitted to Reviews of Modern Physics

Scientific paper

10.1103/RevModPhys.77.1027

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.

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