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Title: Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems

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, {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. (c) 2000 The American Physical Society.

Authors:
 [1];  [1];  [1];  [1]
  1. Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221 (United States)
Publication Date:
OSTI Identifier:
20216423
Resource Type:
Journal Article
Journal Name:
Physical Review. B, Condensed Matter and Materials Physics
Additional Journal Information:
Journal Volume: 61; Journal Issue: 19; Other Information: PBD: 15 May 2000; Journal ID: ISSN 1098-0121
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CLUSTER MODEL; ELECTRONIC STRUCTURE; MEAN-FIELD THEORY; MONTE CARLO METHOD; CHARGE DENSITY; ELECTRON CORRELATION; METALS; HIGH-TC SUPERCONDUCTORS; THEORETICAL DATA

Citation Formats

Hettler, M H, Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, Mukherjee, M, Jarrell, M, Krishnamurthy, H R, and Department of Physics, Indian Institute of Science, Bangalore 560012,. Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems. United States: N. p., 2000. Web. doi:10.1103/PhysRevB.61.12739.
Hettler, M H, Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, Mukherjee, M, Jarrell, M, Krishnamurthy, H R, & Department of Physics, Indian Institute of Science, Bangalore 560012,. Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems. United States. https://doi.org/10.1103/PhysRevB.61.12739
Hettler, M H, Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, Mukherjee, M, Jarrell, M, Krishnamurthy, H R, and Department of Physics, Indian Institute of Science, Bangalore 560012,. 2000. "Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems". United States. https://doi.org/10.1103/PhysRevB.61.12739.
@article{osti_20216423,
title = {Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems},
author = {Hettler, M H and Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439 and Mukherjee, M and Jarrell, M and Krishnamurthy, H R and Department of Physics, Indian Institute of Science, Bangalore 560012,},
abstractNote = {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, {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. (c) 2000 The American Physical Society.},
doi = {10.1103/PhysRevB.61.12739},
url = {https://www.osti.gov/biblio/20216423}, journal = {Physical Review. B, Condensed Matter and Materials Physics},
issn = {1098-0121},
number = 19,
volume = 61,
place = {United States},
year = {Mon May 15 00:00:00 EDT 2000},
month = {Mon May 15 00:00:00 EDT 2000}
}