Cluster Perturbation Theory

Chapter
First Online:
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 171)

Abstract

Cluster perturbation theory (CPT) is a simple approximation scheme that applies to lattice models with local interactions, like the Hubbard model, or models where the local interaction is predominant. It proceeds by tiling the lattice into identical, finite-size clusters, solving these clusters exactly and treating the inter-cluster hopping terms at first order in strong-coupling perturbation theory. This review will focus on the kinematical aspects of CPT, in particular the periodization procedure, and on the practical implementation of CPT using an exact diagonalization solver for the cluster. Applications of CPT will be briefly reviewed.

Keywords

Green Function Spectral Function Hubbard Model Krylov Subspace Lanczos Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Notes

Acknowledgments

The author would like to thank the following people for discussions which, over the years, have strengthened and widened his understanding of quantum cluster methods: M. Civelli, G. Kotliar, B. Kyung, M. Jarrell, Th. Maier, S. Okamoto, D. Plouffe, M. Potthoff, A-M. Tremblay, and C. Weber. Computational resources for this review were provided by RQCHP and Compute Canada.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Département de physiqueUniversité de SherbrookeSherbrookeCanada

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