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Phys Rev Lett. 2003 Nov 14;91(20):206402. Epub 2003 Nov 11.

Variational cluster approach to correlated electron systems in low dimensions.

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Institut für Theoretische Physik, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany.


A self-energy-functional approach is applied to construct cluster approximations for correlated lattice models. It turns out that the cluster-perturbation theory [Phys. Rev. Lett. 84, 522 (2000)]] and the cellular dynamical mean-field theory [Phys. Rev. Lett. 87, 186401 (2001)]] are limiting cases of a more general cluster method. The results for the one-dimensional Hubbard model are discussed with regard to boundary conditions, bath degrees of freedom, and cluster size.

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