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Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems

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Hettler, M. H., Mukherjee, M., Jarrell, M., Krishnamurthy, H. R.·2000·Physical Review B

Abstract

We recently introduced the dynamical cluster approximation (DCA), a technique that includes short-ranged dynamical correlations in addition to the local dynamics of the dynamical mean-field approximation while preserving causality. The technique is based on an iterative self-consistency scheme on a finite-size periodic cluster. The dynamical mean-field approximation (exact result) is obtained by taking the cluster to a single site (the thermodynamic limit). Here, we provide details of our method, explicitly show that it is causal, systematic, $\ensuremath{\Phi}$ derivable, and that it becomes conserving as the cluster size increases. We demonstrate the DCA by applying it to a quantum Monte Carlo and exact enumeration study of the two-dimensional Falicov-Kimball model. The resulting spectral functions preserve causality, and the spectra and the charge-density-wave transition temperature converge quickly and systematically to the thermodynamic limit as the cluster size increases.

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Metadata

Authors
Hettler, M. H., Mukherjee, M., Jarrell, M., & Krishnamurthy, H. R.
Venue
Physical Review B
Published
2000-05-15
Volume
61
Issue
19
Pages
12739-12756
ISSN
  • 0163-1829 (ISSN-L)
  • 1095-3795
OpenAlex
W2078746091
Cited by
323
References
16
FWCI
4.64
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems. https://app.cochat.ai/papers/10.1103/physrevb.61.12739
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Hettler, M. H., Mukherjee, M., Jarrell, M., & Krishnamurthy, H. R. (2000). Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems. Physical Review B. https://doi.org/10.1103/physrevb.61.12739

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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