Fictive impurity models: An alternative formulation of the cluster dynamical mean-field method

S. Okamoto, J. Millis, H. Monien, A. Fuhrmann

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

“Cluster” extensions of the dynamical mean-field method to include longer-range correlations are discussed. It is argued that the clusters arising in these methods are naturally interpreted not as actual subunits of a physical lattice but as algorithms for computing coefficients in an orthogonal function expansion of the momentum dependence of the electronic self-energy. The difficulties with causality which have been found to plague cluster dynamical mean-field methods are shown to be related to the “ringing” phenomenon familiar from Fourier analysis. The analogy is used to motivate proposals for simple filtering methods to circumvent them. The formalism is tested by comparison to low-order perturbative calculations and self-consistent solutions.

Original languageEnglish
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume68
Issue number19
DOIs
StatePublished - Nov 26 2003
Externally publishedYes

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