Hettler, M. H. ; Mukherjee, M. ; Jarrell, M. ; Krishnamurthy, H. R. (2000) Dynamical cluster approximation: nonlocal dynamics of correlated electron systems Physical Review B, 61 (19). pp. 12739-12756. ISSN 0163-1829
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Official URL: http://link.aps.org/doi/10.1103/PhysRevB.61.12739
Related URL: http://dx.doi.org/10.1103/PhysRevB.61.12739
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, F 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.
Item Type: | Article |
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Source: | Copyright of this article belongs to American Physical Society. |
ID Code: | 17492 |
Deposited On: | 16 Nov 2010 09:42 |
Last Modified: | 17 May 2016 02:07 |
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