Understanding High-Temperature Superconductors with Quantum Cluster Theories

Details Understanding High-Temperature Superconductors with Quantum Cluster Theories Understanding High-Temperature Superconductors with Quantum Cluster Theories

2006-08-23

arxiv.org/abs/cond-mat/0608507v1

Physics

Condensed Matter

Superconductivity

8 pages, 12 figures; submitted to proceedings of M2S-HTSC VIII, Dresden 2006

Scientific paper

10.1016/j.physc.2007.03.260

Quantum cluster theories are a set of approaches for the theory of correlated and disordered lattice systems, which treat correlations within the cluster explicitly, and correlations at longer length scales either perturbatively or within a mean-field approximation. These methods become exact when the cluster size diverges, and most recover the corresponding (dynamical) mean-field approximation when the cluster size becomes one. Here we will review systematic dynamical cluster simulations of the two-dimensional Hubbard model, that display phenomena remarkably similar to those found in the cuprates, including antiferromagnetism, superconductivity and pseudogap behavior. We will then discuss results for the structure of the pairing mechanism in this model, obtained from a combination of dynamical cluster results and diagrammatic techniques.

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