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Preprint . 2001
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Comparison of two-quantum-cluster approximations

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 03 Jan 2002Embargo end date: 01 Jan 2001 English Publisher:American Physical Society (APS)Journal:Physical Review B, volume 65 (issn: 0163-1829, eissn: 1095-3795, Copyright policy )Funded by:NSF | Simulations of Strongly C...
Authors: Maier, Th. A.; Jarrell, M.;

doi: 10.1103/physrevb.65.041104 , 10.48550/arxiv.cond-mat/0110192

arXiv: cond-mat/0110192

Comparison of two-quantum-cluster approximations

Abstract

We provide microscopic diagrammatic derivations of the the Molecular Coherent Potential Approximation (MCA) and Dynamical Cluster Approximation (DCA) and show that both are Phi-derivable. The MCA (DCA) maps the lattice onto a self-consistently embedded cluster with open (periodic) boundary conditions, and therefore violates (preserves) the translational symmetry of the original lattice. As a consequence of the boundary conditions, the MCA (DCA) converges slowly (quickly) with corrections O(1/Lc) (O(1/Lc^2)), where Lc is the linear size of the cluster. These analytical results are demonstrated numerically for the one-dimensional symmetric Falicov-Kimball model.

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Keywords

Condensed Matter - Strongly Correlated Electrons, Strongly Correlated Electrons (cond-mat.str-el), Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Condensed Matter - Statistical Mechanics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
22
Average
Top 10%
Top 10%
Green