Nonlocal Dynamical Correlations of Strongly Interacting Electron Systems

Details Nonlocal Dynamical Correlations of Strongly Interacting Electron Systems Nonlocal Dynamical Correlations of Strongly Interacting Electron Systems

1998-03-24

arxiv.org/abs/cond-mat/9803295v2

Rapid Comm. PRB 58, 7475 (1998)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, including 4 figures The problems with convergence and causality have been positively resolved. Two figures have been

Scientific paper

10.1103/PhysRevB.58.R7475

We introduce an extension of the dynamical mean field approximation (DMFA) which retains the causal properties and generality of the DMFA, but allows for systematic inclusion of non-local corrections. Our technique maps the problem to a self-consistently embedded cluster. The DMFA (exact result) is recovered as the cluster size goes to one (infinity). As a demonstration, we study the Falicov-Kimball model using a variety of cluster sizes. We show that the sum rules are preserved, the spectra are positive definite, and the non-local correlations suppress the CDW transition temperature. \

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